diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/README.md b/lib/node_modules/@stdlib/lapack/base/dormqr/README.md
new file mode 100644
index 000000000000..c8531d8c52a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/README.md
@@ -0,0 +1,326 @@
+
+
+# dormqr
+
+> Apply an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+
+
+
+`dormqr` applies the real orthogonal matrix `Q` from the QR factorization of a general matrix `A = Q * R` to another general matrix `C`. The matrix `Q` is represented as a product of elementary reflectors
+
+```math
+Q = H(k) \cdots H(2) H(1)
+```
+
+as returned by `DGEQRF`. `Q` is of order `M` if `SIDE = 'left'` and of order `N` if `SIDE = 'right'`.
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var dormqr = require( '@stdlib/lapack/base/dormqr' );
+```
+
+#### dormqr( order, side, trans, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK )
+
+Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1, 0, 0 ] );
+var TAU = new Float64Array( [ 2 ] );
+var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+var WORK = new Float64Array( 64 );
+
+var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 3, WORK, 64 );
+// returns 0
+// C => [ -1, -3, -5, 2, 4, 6 ]
+// WORK[ 0 ] => 4256
+```
+
+The function has the following parameters:
+
+- **order**: storage layout. Must be either `'row-major'` or `'column-major'`.
+- **side**: specifies the side of multiplication with `C`. Use `'left'` to form `Q * C` or `Q^T * C`, and `'right'` to form `C * Q` or `C * Q^T`.
+- **trans**: transpose operation. Use `'no-transpose'` for `Q` and `'transpose'` for `Q^T`.
+- **M**: number of rows of `C`.
+- **N**: number of columns of `C`.
+- **K**: number of elementary reflectors. Must be smaller than the order of `Q`.
+- **A**: reflector vectors from `DGEQRF` as a [`Float64Array`][@stdlib/array/float64].
+- **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+- **TAU**: scalar factors of elementary reflectors as a [`Float64Array`][@stdlib/array/float64].
+- **C**: input/output matrix stored in linear memory as a [`Float64Array`][@stdlib/array/float64].
+- **LDC**: stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`).
+- **WORK**: workspace array as a [`Float64Array`][@stdlib/array/float64].
+- **LWORK**: dimension of the array `WORK`.
+
+When `side` is `'left'`:
+
+- `WORK` must have length `LWORK >= max(1, N)`.
+- `LDA` must be greater than or equal to `max(1, M)` for column-major layout and `max(1, K)` for row-major layout.
+
+When `side` is `'right'`:
+
+- `WORK` must have length `LWORK >= max(1, M)`.
+- `LDA` must be greater than or equal to `max(1, N)` for column-major layout and `max(1, K)` for row-major layout.
+
+If `LWORK` is equal to `-1`, the function returns a workspace query and only the first element of `WORK` is modified with the optimal workspace size.
+
+The function overwrites `C` with:
+
+- `Q * C` if `SIDE = 'left'` and `TRANS = 'no-transpose'`
+- `Q^T * C` if `SIDE = 'left'` and `TRANS = 'transpose'`
+- `C * Q` if `SIDE = 'right'` and `TRANS = 'no-transpose'`
+- `C * Q^T` if `SIDE = 'right'` and `TRANS = 'transpose'`
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+// Initial arrays...
+var A0 = new Float64Array( [ 0.0, 1, 0, 0 ] );
+var TAU0 = new Float64Array( [ 0.0, 2 ] );
+var C0 = new Float64Array( [ 0.0, 1, 3, 5, 2, 4, 6 ] );
+var WORK0 = new Float64Array( 65 );
+
+// Create offset views...
+var A1 = new Float64Array( A0.buffer, A0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var TAU1 = new Float64Array( TAU0.buffer, TAU0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var C1 = new Float64Array( C0.buffer, C0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var WORK1 = new Float64Array( WORK0.buffer, WORK0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A1, 2, TAU1, C1, 3, WORK1, 64 );
+// C0 => [ 0.0, -1, -3, -5, 2, 4, 6 ]
+```
+
+
+
+#### dormqr.ndarray( side, trans, M, N, K, A, sa1, sa2, oa, TAU, st, ot, C, sc1, sc2, oc, WORK, sw, ow, LWORK )
+
+Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T` using alternative indexing semantics.
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1, 0, 0 ] );
+var TAU = new Float64Array( [ 2 ] );
+var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+var WORK = new Float64Array( 64 );
+
+var info = dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 );
+// returns 0
+// C => [ -1, -3, -5, 2, 4, 6 ]
+```
+
+The function has the following additional parameters:
+
+- **side**: specifies the side of multiplication with `C`.
+- **trans**: transpose operation.
+- **M**: number of rows of `C`.
+- **N**: number of columns of `C`.
+- **K**: number of elementary reflectors.
+- **A**: reflector vectors from `DGEQRF` as a [`Float64Array`][@stdlib/array/float64].
+- **sa1**: stride of the first dimension of `A`.
+- **sa2**: stride of the second dimension of `A`.
+- **oa**: starting index for `A`.
+- **TAU**: scalar factors of elementary reflectors as a [`Float64Array`][@stdlib/array/float64].
+- **st**: stride length for `TAU`.
+- **ot**: starting index for `TAU`.
+- **C**: input/output matrix as a [`Float64Array`][@stdlib/array/float64].
+- **sc1**: stride of the first dimension of `C`.
+- **sc2**: stride of the second dimension of `C`.
+- **oc**: starting index for `C`.
+- **WORK**: workspace array as a [`Float64Array`][@stdlib/array/float64].
+- **sw**: stride length for `WORK`.
+- **ow**: starting index for `WORK`.
+- **LWORK**: dimension of the array `WORK`.
+
+While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 0.0, 1, 0, 0 ] );
+var TAU = new Float64Array( [ 0.0, 2 ] );
+var C = new Float64Array( [ 0.0, 1, 3, 5, 2, 4, 6 ] );
+var WORK = new Float64Array( 65 );
+
+var info = dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 1, TAU, 1, 1, C, 3, 1, 1, WORK, 1, 1, 64 );
+// C => [ 0.0, -1, -3, -5, 2, 4, 6 ]
+```
+
+
+
+
+
+
+
+## Notes
+
+- `dormqr()` corresponds to the [LAPACK][LAPACK] routine [`dormqr`][lapack-dormqr].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var ndarray2array = require( '@stdlib/ndarray/base/to-array' );
+var shape2strides = require( '@stdlib/ndarray/base/shape2strides' );
+var dormqr = require( '@stdlib/lapack/base/dormqr' );
+
+// Define a matrix C stored in column-major order:
+var shape = [ 2, 3 ];
+var order = 'column-major';
+var strides = shape2strides( shape, order );
+
+var C = new Float64Array( [ 1.0, 2.0, 4.0, 5.0, 3.0, 6.0 ] );
+console.log( ndarray2array( C, shape, strides, 0, order ) );
+
+// Define the reflector vector A and scalar factors:
+var A = new Float64Array( [ 1.0, 0.0 ] );
+var TAU = new Float64Array( [ 2.0 ] );
+var WORK = new Float64Array( 3 );
+
+// Apply the orthogonal matrix Q from the left (no transpose):
+var info = dormqr( order, 'left', 'no-transpose', shape[ 0 ], shape[ 1 ], 1, A, 2, TAU, C, strides[ 1 ], WORK, WORK.length );
+console.log( ndarray2array( C, shape, strides, 0, order ) );
+console.log( info );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+TODO
+```
+
+#### TODO
+
+TODO.
+
+```c
+TODO
+```
+
+TODO
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[lapack]: https://www.netlib.org/lapack/explore-html/
+
+[lapack-dormqr]: https://www.netlib.org/lapack/explore-html/d7/d50/group__unmqr_ga768bd221f959be1b3d15bd177bb5c1b3.html
+
+[@stdlib/array/float64]: https://stdlib.io/docs/api/latest/@stdlib/array/float64
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+
+
+
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.js
new file mode 100644
index 000000000000..3d6ed3a4ff8c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.js
@@ -0,0 +1,139 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var dormqr = require( './../lib/dormqr.js' );
+
+
+// VARIABLES //
+
+var LAYOUTS = [
+ 'row-major',
+ 'column-major'
+];
+var SIDES = [
+ 'left',
+ 'right'
+];
+var TRANSPOSES = [
+ 'no-transpose',
+ 'transpose'
+];
+var opts = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {string} order - storage layout
+* @param {string} side - storage layout
+* @param {string} trans - storage layout
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( order, side, trans, N ) {
+ var LWORK = N * 32;
+ var WORK = new Float64Array( LWORK );
+ var TAU = discreteUniform(N, 1.0, 2.0, opts);
+ var A = discreteUniform( N*N, 1.0, 10.0, opts );
+ var C = discreteUniform( N*N, 1.0, 10.0, opts );
+
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var d;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ d = dormqr( order, side, trans, N, N, N, A, N, TAU, C, N, WORK, LWORK );
+ if ( d < 0 ) {
+ b.fail( 'should return a success status code' );
+ }
+ }
+ b.toc();
+ if ( d < 0 ) {
+ b.fail( 'should return a success status code' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var trans;
+ var side;
+ var min;
+ var max;
+ var ord;
+ var N;
+ var f;
+ var i;
+ var j;
+ var k;
+ var l;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( k = 0; k < LAYOUTS.length; k++ ) {
+ ord = LAYOUTS[ k ];
+ for ( l = 0; l < TRANSPOSES.length; l++ ) {
+ trans = TRANSPOSES[ l ];
+ for ( j = 0; j < SIDES.length; j++ ) {
+ side = SIDES[ j ];
+ for ( i = min; i <= max; i++ ) {
+ N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( ord, side, trans, N );
+ bench( format( '%s::square_matrix:order=%s,side=%s,trans=%s,size=%d', pkg, ord, side, trans, N*N ), f );
+ }
+ }
+ }
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..5690a3881319
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/benchmark/benchmark.ndarray.js
@@ -0,0 +1,156 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var dormqr = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var LAYOUTS = [
+ 'row-major',
+ 'column-major'
+];
+var SIDES = [
+ 'left',
+ 'right'
+];
+var TRANSPOSES = [
+ 'no-transpose',
+ 'transpose'
+];
+var opts = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {string} order - storage layout
+* @param {string} side - storage layout
+* @param {string} trans - storage layout
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( order, side, trans, N ) {
+ var LWORK = N * 32;
+ var WORK = new Float64Array( LWORK );
+ var TAU = discreteUniform(N, 1.0, 2.0, opts);
+ var sa1;
+ var sa2;
+ var sc1;
+ var sc2;
+ var A = discreteUniform( N*N, 1.0, 10.0, opts );
+ var C = discreteUniform( N*N, 1.0, 10.0, opts );
+
+ if ( isColumnMajor( order ) ) {
+ sa1 = 1;
+ sa2 = N;
+ sc1 = 1;
+ sc2 = N;
+ } else { // order === 'row-major'
+ sa1 = N;
+ sa2 = 1;
+ sc1 = N;
+ sc2 = 1;
+ }
+
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var d;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ d = dormqr( side, trans, N, N, N, A, sa1, sa2, 0, TAU, 1, 0, C, sc1, sc2, 0, WORK, 1, 0, LWORK );
+ if ( d < 0 ) {
+ b.fail( 'should return a success status code' );
+ }
+ }
+ b.toc();
+ if ( d < 0 ) {
+ b.fail( 'should return a success status code' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var trans;
+ var side;
+ var min;
+ var max;
+ var ord;
+ var N;
+ var f;
+ var i;
+ var j;
+ var k;
+ var l;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( k = 0; k < LAYOUTS.length; k++ ) {
+ ord = LAYOUTS[ k ];
+ for ( l = 0; l < TRANSPOSES.length; l++ ) {
+ trans = TRANSPOSES[ l ];
+ for ( j = 0; j < SIDES.length; j++ ) {
+ side = SIDES[ j ];
+ for ( i = min; i <= max; i++ ) {
+ N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( ord, side, trans, N );
+ bench( format( '%s::square_matrix:order=%s,side=%s,trans=%s,size=%d', pkg, ord, side, trans, N*N ), f );
+ }
+ }
+ }
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/repl.txt
new file mode 100644
index 000000000000..8312a26b9f12
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/repl.txt
@@ -0,0 +1,187 @@
+
+{{alias}}( order, side, trans, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK )
+ Applies an orthogonal matrix `Q`, formed from Householder reflectors
+ returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left
+ or right with `Q` or `Q^T`.
+
+ `Q` is a real orthogonal matrix defined as the product of `k` elementary
+ reflectors, `Q = H(k) . . . H(2) H(1)` as returned by `DGEQRF`.
+
+ `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'right'.
+
+ `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and
+ `LWORK >= max(1,M)` if SIDE = `right`.
+
+ If `LWORK` is equal to `-1`, the function returns a workspace query and
+ only the first element of `WORK` is modified.
+
+ Parameters
+ ----------
+ order: string
+ Storage layout. Must be either 'row-major' or 'column-major'.
+
+ side: string
+ Specifies the side of multiplication with `C`. Use `'left'` to form
+ `Q * C` or `Q^T * C`, and `'right'` to form `C * Q` or `C * Q^T`.
+
+ trans: string
+ Transpose operation. Use `'no-transpose'` for `Q` and `'transpose'`
+ for `Q^T`.
+
+ M: integer
+ Number of rows of `C`.
+
+ N: integer
+ Number of columns of `C`.
+
+ K: integer
+ Number of elementary reflectors. Must be smaller than the order
+ of `Q`.
+
+ A: Float64Array
+ Reflector vectors from `DGEQRF`.
+
+ LDA: integer
+ Stride of the first dimension of `A` (a.k.a., leading dimension of
+ the matrix `A`).
+
+ TAU: Float64Array
+ Scalar factors of elementary reflectors.
+
+ C: Float64Array
+ Input/output matrix.
+
+ LDC: integer
+ Stride of the first dimension of `C` (a.k.a., leading dimension of
+ the matrix `C`).
+
+ WORK: Float64Array
+ Workspace array.
+
+ LWORK: integer
+ Dimension of the array `WORK`.
+
+ Returns
+ -------
+ info: integer
+ Status code indicating whether the operation completed successfully.
+
+ Examples
+ --------
+ > var A = new {{alias:@stdlib/array/float64}}( [ 1, 0, 0 ] );
+ > var TAU = new {{alias:@stdlib/array/float64}}( [ 2 ] );
+ > var C = new {{alias:@stdlib/array/float64}}( [ 1, 3, 5, 2, 4, 6 ] );
+ > var WORK = new {{alias:@stdlib/array/float64}}( 64 );
+ > {{alias}}( 'row-major','left','no-transpose',2,3,1,A,1,TAU,C,3,WORK,64 )
+ 0
+ > C
+ [ -1, -3, -5, 2, 4, 6 ]
+ > WORK[ 0 ]
+ 4256
+
+
+{{alias}}.ndarray( side, trans, M, N, K, A, sa1, sa2, oa, TAU, st, ot, C, sc1, sc2, oc, WORK, sw, ow, LWORK )
+ Applies an orthogonal matrix `Q`, formed from Householder reflectors
+ returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left
+ or right with `Q` or `Q^T` using alternative indexing semantics.
+
+ `Q` is a real orthogonal matrix defined as the product of `k` elementary
+ reflectors, `Q = H(k) . . . H(2) H(1)` as returned by `DGEQRF`.
+
+ `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'right'.
+
+ `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and
+ `LWORK >= max(1,M)` if SIDE = `right`.
+
+ If `LWORK` is equal to `-1`, the function returns a workspace query and
+ only the first element of `WORK` is modified.
+
+ While typed array views mandate a view offset based on the underlying
+ buffer, the offset parameters support indexing semantics based on starting
+ indices.
+
+ Parameters
+ ----------
+ side: string
+ Specifies the side of multiplication with `C`. Use `'left'` to form
+ `Q * C` or `Q^T * C`, and `'right'` to form `C * Q` or `C * Q^T`.
+
+ trans: string
+ Transpose operation. Use `'no-transpose'` for `Q` and `'transpose'`
+ for `Q^T`.
+
+ M: integer
+ Number of rows of `C`.
+
+ N: integer
+ Number of columns of `C`.
+
+ K: integer
+ Number of elementary reflectors. Must be smaller than the order
+ of `Q`.
+
+ A: Float64Array
+ Reflector vectors from `DGEQRF`.
+
+ sa1: integer
+ Stride of the first dimension of `A`.
+
+ sa2: integer
+ Stride of the second dimension of `A`.
+
+ oa: integer
+ Starting index for `A`.
+
+ TAU: Float64Array
+ Scalar factors of elementary reflectors.
+
+ st: integer
+ Stride length for `TAU`.
+
+ ot: integer
+ Starting index for `TAU`.
+
+ C: Float64Array
+ Input/output matrix.
+
+ sc1: integer
+ Stride of the first dimension of `C`.
+
+ sc2: integer
+ Stride of the second dimension of `C`.
+
+ oc: integer
+ Starting index for `C`.
+
+ WORK: Float64Array
+ Workspace array.
+
+ sw: integer
+ Stride length for `WORK`.
+
+ ow: integer
+ Starting index for `WORK`.
+
+ LWORK: integer
+ Dimension of the array `WORK`.
+
+ Returns
+ -------
+ info: integer
+ Status code indicating whether the operation completed successfully.
+
+ Examples
+ --------
+ > var A = new {{alias:@stdlib/array/float64}}( [ 1, 0, 0 ] );
+ > var TAU = new {{alias:@stdlib/array/float64}}( [ 2 ] );
+ > var C = new {{alias:@stdlib/array/float64}}( [ 1, 3, 5, 2, 4, 6 ] );
+ > var WORK = new {{alias:@stdlib/array/float64}}( 64 );
+ > {{alias}}.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 )
+ 0
+ > C
+ [ -1, -3, -5, 2, 4, 6 ]
+ > WORK[ 0 ]
+ 4256
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/index.d.ts
new file mode 100644
index 000000000000..9d0a3a302067
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/index.d.ts
@@ -0,0 +1,202 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+///
+
+import { Layout, OperationSide, TransposeOperation } from '@stdlib/types/blas';
+
+/**
+* Status code.
+*
+* ## Notes
+*
+* The status code indicates whether the operation completed successfully. A value of `0` indicates success.
+*/
+type StatusCode = number;
+
+/**
+* Interface describing `dormqr`.
+*/
+interface Routine {
+ /**
+ * Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+ *
+ * ## Notes
+ *
+ * - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+ *
+ * - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+ *
+ * - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+ *
+ * - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+ * - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+ * - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+ * - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+ *
+ * - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+ *
+ * @param order - storage layout
+ * @param side - specifies the side of multiplication with `C`
+ * @param trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+ * @param M - number of rows of `C`
+ * @param N - number of columns of `C`
+ * @param K - number of elementary reflectors
+ * @param A - reflector vectors from `DGEQRF`
+ * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+ * @param TAU - scalar factors of elementary reflectors
+ * @param C - input/output matrix
+ * @param LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
+ * @param WORK - workspace array
+ * @param LWORK - dimension of the array `WORK`
+ * @returns status code
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var A = new Float64Array( [ 1, 0 ] );
+ * var TAU = new Float64Array( [ 2 ] );
+ * var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ * var WORK = new Float64Array( 64 );
+ *
+ * var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 64 );
+ * // returns 0
+ * // C => [ -1, -3, -5, 2, 4, 6 ]
+ */
+ ( order: Layout, side: OperationSide, trans: TransposeOperation, M: number, N: number, K: number, A: Float64Array, LDA: number, TAU: Float64Array, C: Float64Array, LDC: number, WORK: Float64Array, LWORK: number ): StatusCode;
+
+ /**
+ * Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T` using alternative indexing semantics.
+ *
+ * ## Notes
+ *
+ * - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+ *
+ * - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+ *
+ * - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+ *
+ * - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+ * - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+ * - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+ * - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+ *
+ * - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+ *
+ * @param side - specifies the side of multiplication with `C`
+ * @param trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+ * @param M - number of rows of `C`
+ * @param N - number of columns of `C`
+ * @param K - number of elementary reflectors
+ * @param A - reflector vectors from `DGEQRF`
+ * @param strideA1 - stride of the first dimension of `A`
+ * @param strideA2 - stride of the second dimension of `A`
+ * @param offsetA - starting index for `A`
+ * @param TAU - scalar factors of elementary reflectors
+ * @param strideTAU - stride for `TAU`
+ * @param offsetTAU - starting index for `TAU`
+ * @param C - input/output matrix
+ * @param strideC1 - stride of the first dimension of `C`
+ * @param strideC2 - stride of the second dimension of `C`
+ * @param offsetC - starting index for `C`
+ * @param WORK - workspace array
+ * @param strideWORK - stride for `WORK`
+ * @param offsetWORK - starting index for `WORK`
+ * @param LWORK - dimension of the array `WORK`
+ * @returns status code
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var A = new Float64Array( [ 1, 0 ] );
+ * var TAU = new Float64Array( [ 2 ] );
+ * var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ * var WORK = new Float64Array( 64 );
+ *
+ * var info = dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 );
+ * // returns 0
+ * // C => [ -1, -3, -5, 2, 4, 6 ]
+ */
+ ndarray( side: OperationSide, trans: TransposeOperation, M: number, N: number, K: number, A: Float64Array, strideA1: number, strideA2: number, offsetA: number, TAU: Float64Array, strideTAU: number, offsetTAU: number, C: Float64Array, strideC1: number, strideC2: number, offsetC: number, WORK: Float64Array, strideWORK: number, offsetWORK: number, LWORK: number ): StatusCode;
+}
+
+/**
+* Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+*
+* ## Notes
+*
+* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+*
+* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+*
+* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+*
+* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+* - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+* - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+*
+* - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+*
+* @param order - storage layout
+* @param side - specifies the side of multiplication with `C`
+* @param trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+* @param M - number of rows of `C`
+* @param N - number of columns of `C`
+* @param K - number of elementary reflectors
+* @param A - reflector vectors from `DGEQRF`
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param TAU - scalar factors of elementary reflectors
+* @param C - input/output matrix
+* @param LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
+* @param WORK - workspace array
+* @param LWORK - dimension of the array `WORK`
+* @returns status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+*/
+declare var dormqr: Routine;
+
+
+// EXPORTS //
+
+export = dormqr;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/test.ts
new file mode 100644
index 000000000000..c39f67b41815
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/docs/types/test.ts
@@ -0,0 +1,656 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import dormqr = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a valid layout...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 5, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( true, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( false, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( null, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( void 0, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( [], 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( {}, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( ( x: number ): number => x, 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a valid operation side...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 5, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', true, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', false, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', null, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', void 0, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', [], 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', {}, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', ( x: number ): number => x, 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a valid transpose operation...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 5, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', true, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', false, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', null, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', void 0, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', [], 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', {}, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', ( x: number ): number => x, 2, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', '5', 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', true, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', false, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', null, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', void 0, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', [], 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', {}, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', ( x: number ): number => x, 3, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, '5', 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, true, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, false, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, null, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, void 0, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, [], 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, {}, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, ( x: number ): number => x, 1, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, '5', A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, true, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, false, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, null, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, void 0, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, [], A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, {}, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, ( x: number ): number => x, A, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a Float64Array...
+{
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, '5', 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, 5, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, true, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, false, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, null, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, void 0, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, [], 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, {}, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, ( x: number ): number => x, 1, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, '5', TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, true, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, false, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, null, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, void 0, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, [], TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, {}, TAU, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, ( x: number ): number => x, TAU, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a ninth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, '5', C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, 5, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, true, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, false, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, null, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, void 0, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, [], C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, {}, C, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, ( x: number ): number => x, C, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a tenth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, '5', 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, 5, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, true, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, false, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, null, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, void 0, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, [], 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, {}, 3, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, ( x: number ): number => x, 3, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eleventh argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, '5', WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, true, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, false, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, null, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, void 0, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, [], WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, {}, WORK, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, ( x: number ): number => x, WORK, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a twelfth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, '5', 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, 5, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, true, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, false, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, null, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, void 0, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, [], 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, {}, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, ( x: number ): number => x, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a thirteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, '5' ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, true ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, false ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, null ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, void 0 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, [] ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, {} ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr(); // $ExpectError
+ dormqr( 'row-major' ); // $ExpectError
+ dormqr( 'row-major', 'left' ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose' ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3 ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK ); // $ExpectError
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 3, WORK, 3, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectType number
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a valid operation side...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 5, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( true, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( false, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( null, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( void 0, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( [], 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( {}, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( ( x: number ): number => x, 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a valid transpose operation...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 5, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', true, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', false, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', null, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', void 0, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', [], 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', {}, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', ( x: number ): number => x, 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a third argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', '5', 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', true, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', false, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', null, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', void 0, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', [], 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', {}, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', ( x: number ): number => x, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, '5', 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, true, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, false, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, null, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, void 0, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, [], 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, {}, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, ( x: number ): number => x, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, '5', A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, true, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, false, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, null, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, void 0, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, [], A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, {}, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, ( x: number ): number => x, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixth argument which is not a Float64Array...
+{
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, '5', 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, 5, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, true, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, false, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, null, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, void 0, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, [], 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, {}, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, ( x: number ): number => x, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, '5', 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, true, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, false, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, null, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, void 0, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, [], 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, {}, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, ( x: number ): number => x, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, '5', 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, true, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, false, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, null, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, void 0, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, [], 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, {}, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, ( x: number ): number => x, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a ninth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, '5', TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, true, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, false, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, null, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, void 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, [], TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, {}, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, ( x: number ): number => x, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a tenth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, '5', 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, 5, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, true, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, false, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, null, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, void 0, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, [], 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, {}, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, ( x: number ): number => x, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eleventh argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, '5', 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, true, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, false, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, null, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, void 0, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, [], 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, {}, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, ( x: number ): number => x, 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twelfth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, '5', C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, true, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, false, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, null, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, void 0, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, [], C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, {}, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, ( x: number ): number => x, C, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a thirteenth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, '5', 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, 5, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, true, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, false, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, null, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, void 0, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, [], 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, {}, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, ( x: number ): number => x, 3, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, '5', 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, true, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, false, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, null, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, void 0, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, [], 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, {}, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, ( x: number ): number => x, 1, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, '5', 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, true, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, false, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, null, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, void 0, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, [], 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, {}, 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, ( x: number ): number => x, 0, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, '5', WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, true, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, false, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, null, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, void 0, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, [], WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, {}, WORK, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, ( x: number ): number => x, WORK, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventeenth argument which is not a Float64Array...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, '5', 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, 5, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, true, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, false, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, null, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, void 0, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, [], 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, {}, 1, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, ( x: number ): number => x, 1, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, '5', 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, true, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, false, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, null, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, void 0, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, [], 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, {}, 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, ( x: number ): number => x, 0, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a nineteenth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, '5', 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, true, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, false, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, null, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, void 0, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, [], 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, {}, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, ( x: number ): number => x, 3 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twentieth argument which is not a number...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, '5' ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, true ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, false ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, null ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, void 0 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, [] ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, {} ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const A = new Float64Array( 2 );
+ const TAU = new Float64Array( 1 );
+ const C = new Float64Array( 6 );
+ const WORK = new Float64Array( 3 );
+
+ dormqr.ndarray(); // $ExpectError
+ dormqr.ndarray( 'left' ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose' ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0 ); // $ExpectError
+ dormqr.ndarray( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 3, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dormqr/examples/index.js
new file mode 100644
index 000000000000..2f5163d9955e
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/examples/index.js
@@ -0,0 +1,42 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var ndarray2array = require( '@stdlib/ndarray/base/to-array' );
+var shape2strides = require( '@stdlib/ndarray/base/shape2strides' );
+var dormqr = require( './../lib' );
+
+// Define a matrix C stored in column-major order:
+var shape = [ 2, 3 ];
+var order = 'column-major';
+var strides = shape2strides( shape, order );
+
+var C = new Float64Array( [ 1.0, 2.0, 4.0, 5.0, 3.0, 6.0 ] );
+console.log( ndarray2array( C, shape, strides, 0, order ) );
+
+// Define the reflector vector A (stored in col-major order, LDA=2) and scalar factors:
+var A = new Float64Array( [ 1.0, 0.0 ] );
+var TAU = new Float64Array( [ 2.0 ] );
+var WORK = new Float64Array( 3 );
+
+// Apply the orthogonal matrix Q from the left (no transpose):
+var info = dormqr( order, 'left', 'no-transpose', shape[ 0 ], shape[ 1 ], 1, A, 2, TAU, C, strides[ 1 ], WORK, WORK.length );
+console.log( ndarray2array( C, shape, strides, 0, order ) );
+console.log( info );
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/base.js
new file mode 100644
index 000000000000..fd4fe632f24a
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/base.js
@@ -0,0 +1,243 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-params */
+
+'use strict';
+
+// MODULES //
+
+var max = require( '@stdlib/math/base/special/max' );
+var min = require( '@stdlib/math/base/special/min' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var dlarfb = require( './dlarfb.js' );
+var dlarft = require( './dlarft.js' );
+var dorm2r = require( './dorm2r.js' );
+
+
+// VARIABLES //
+
+var NBMAX = 64;
+var LDT = NBMAX + 1;
+var TSIZE = LDT * NBMAX;
+
+
+// FUNCTIONS //
+
+/**
+* Tests whether an operation should be applied to the left side.
+*
+* @private
+* @param {string} side - operation side
+* @returns {boolean} boolean indicating if an operation should be applied to the left side
+*/
+function isLeftSide( side ) {
+ return side === 'left';
+}
+
+
+// MAIN //
+
+/**
+* Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+*
+* ## Notes
+*
+* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+*
+* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+*
+* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+*
+* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+* - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+* - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+*
+* - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+*
+* @private
+* @param {string} side - specifies the side of multiplication with `C`
+* @param {string} trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+* @param {NonNegativeInteger} M - number of rows of `C`
+* @param {NonNegativeInteger} N - number of columns of `C`
+* @param {NonNegativeInteger} K - number of elementary reflectors
+* @param {Float64Array} A - reflector vectors from `DGEQRF`
+* @param {integer} strideA1 - stride of the first dimension of A
+* @param {integer} strideA2 - stride of the second dimension of A
+* @param {NonNegativeInteger} offsetA - starting index for A
+* @param {Float64Array} TAU - scalar factors of reflectors
+* @param {integer} strideTAU - stride for TAU
+* @param {NonNegativeInteger} offsetTAU - starting index for TAU
+* @param {Float64Array} C - input/output matrix
+* @param {integer} strideC1 - stride of the first dimension of `C`
+* @param {integer} strideC2 - stride of the second dimension of `C`
+* @param {NonNegativeInteger} offsetC - starting index for `C`
+* @param {Float64Array} WORK - workspace array
+* @param {integer} strideWORK - stride for `WORK`
+* @param {NonNegativeInteger} offsetWORK - starting index for `WORK`
+* @param {NonNegativeInteger} LWORK - dimension of the array `WORK`
+* @returns {integer} status code (0 if successful)
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1, 0, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+* // WORK[ 0 ] => 4256
+*/
+function dormqr( side, trans, M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, C, strideC1, strideC2, offsetC, WORK, strideWORK, offsetWORK, LWORK ) {
+ var isTrans;
+ var isLeft;
+ var ldwork;
+ var lwkopt;
+ var lquery;
+ var nbmin;
+ var idx0;
+ var idx1;
+ var idx2;
+ var iwt;
+ var mi;
+ var nb;
+ var ni;
+ var nq;
+ var nw;
+ var ic;
+ var jc;
+ var ib;
+ var i1;
+ var i2;
+ var i3;
+ var i;
+
+ isLeft = isLeftSide( side );
+ isTrans = ( trans === 'transpose' );
+ lquery = ( LWORK === -1 );
+
+ // NQ is the order of Q and NW is the minimum dimension of WORK
+ if ( isLeft ) {
+ nq = M;
+ nw = max( 1, N );
+ } else {
+ nq = N;
+ nw = max( 1, M );
+ }
+
+ nb = min( NBMAX, 32 ); // The optimal block size derived from fortran LAPACK call `ilaenv( 1, 'DORMQR', side // trans, m, n, k, -1 ) )`
+ lwkopt = ( nw * nb ) + TSIZE;
+ WORK[ offsetWORK ] = lwkopt;
+
+ if ( lquery ) {
+ return 0;
+ }
+
+ // Quick return if possible
+ if ( M === 0 || N === 0 || K === 0 ) {
+ WORK[ offsetWORK ] = 1;
+ return 0;
+ }
+
+ nbmin = 2;
+ ldwork = nw;
+ if ( nb > 1 && nb < K ) {
+ if ( LWORK < lwkopt ) {
+ nb = floor( ( LWORK - TSIZE ) / ldwork );
+ nbmin = 2; // The minimal block size derived from fortran LAPACK call `ilaenv( 2, 'DORMQR', side // trans, m, n, k, -1 ) )`
+ }
+ }
+
+ if ( nb < nbmin || nb >= K ) {
+ // Use unblocked code
+ dorm2r( side, trans, M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, C, strideC1, strideC2, offsetC, WORK, strideWORK, offsetWORK );
+ } else {
+ // Use blocked code
+ iwt = nw * nb;
+
+ if ( ( isLeft && isTrans ) || ( !isLeft && !isTrans ) ) {
+ i1 = 0;
+ i2 = K;
+ i3 = nb;
+ } else {
+ i1 = floor( ( K - 1 ) / nb ) * nb;
+ i2 = -1;
+ i3 = -nb;
+ }
+
+ if ( isLeft ) {
+ ni = N;
+ jc = 0;
+
+ idx0 = offsetA + ( i1*strideA1 ) + ( i1*strideA2 );
+ idx1 = offsetTAU + ( i1*strideTAU );
+ idx2 = offsetC + ( i1*strideC1 ) + ( jc*strideC2 );
+ for ( i = i1; ( i3 > 0 ) ? ( i < i2 ) : ( i > i2 ); i += i3 ) {
+ ib = min( nb, K - i );
+
+ // Form the triangular factor of the block reflector H = H(i) H(i+1) ... H(i+ib-1)
+ dlarft( 'forward', 'columns', nq - i, ib, A, strideA1, strideA2, idx0, TAU, strideTAU, idx1, WORK, 1, LDT, offsetWORK + ( iwt * strideWORK ) );
+
+ // H or H**T is applied to C(i:m,1:n)
+ mi = M - i;
+ ic = i;
+
+ // Apply H or H**T
+ dlarfb( side, trans, 'forward', 'columns', mi, ni, ib, A, strideA1, strideA2, idx0, WORK, 1, LDT, offsetWORK + ( iwt * strideWORK ), C, strideC1, strideC2, idx2, WORK, 1, ldwork, offsetWORK );
+ idx0 += i3 * ( strideA1 + strideA2 );
+ idx1 += i3 * strideTAU;
+ idx2 += i3 * strideC1;
+ }
+ } else {
+ mi = M;
+ ic = 0;
+
+ idx0 = offsetA + ( i1*strideA1 ) + ( i1*strideA2 );
+ idx1 = offsetTAU + ( i1*strideTAU );
+ idx2 = offsetC + ( ic*strideC1 ) + ( i1*strideC2 );
+ for ( i = i1; ( i3 > 0 ) ? ( i < i2 ) : ( i > i2 ); i += i3 ) {
+ ib = min( nb, K - i );
+
+ // Form the triangular factor of the block reflector H = H(i) H(i+1) ... H(i+ib-1)
+ dlarft( 'forward', 'columns', nq - i, ib, A, strideA1, strideA2, idx0, TAU, strideTAU, idx1, WORK, 1, LDT, offsetWORK + ( iwt * strideWORK ) );
+
+ // H or H**T is applied to C(1:m,i:n)
+ ni = N - i;
+ jc = i;
+
+ // Apply H or H**T
+ dlarfb( side, trans, 'forward', 'columns', mi, ni, ib, A, strideA1, strideA2, idx0, WORK, 1, LDT, offsetWORK + ( iwt * strideWORK ), C, strideC1, strideC2, idx2, WORK, 1, ldwork, offsetWORK );
+ idx0 += i3 * ( strideA1 + strideA2 );
+ idx1 += i3 * strideTAU;
+ idx2 += i3 * strideC2;
+ }
+ }
+ }
+
+ WORK[ offsetWORK ] = lwkopt;
+ return 0;
+}
+
+
+// EXPORTS //
+
+module.exports = dormqr;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarfb.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarfb.js
new file mode 100644
index 000000000000..96be470af5ea
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarfb.js
@@ -0,0 +1,118 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-params */
+
+'use strict';
+
+// MODULES //
+
+var leftForwardColumns = require( './left_forward_columns.js' );
+var leftBackwardColumns = require( './left_backward_columns.js' );
+var leftForwardRows = require( './left_forward_rows.js' );
+var leftBackwardRows = require( './left_backward_rows.js' );
+var rightForwardColumns = require( './right_forward_columns.js' );
+var rightBackwardColumns = require( './right_backward_columns.js' );
+var rightForwardRows = require( './right_forward_rows.js' );
+var rightBackwardRows = require( './right_backward_rows.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector `H` or its transpose `H^T` to a real `M` by `N` matrix `C`, from either the left or the right.
+*
+* ## Notes
+*
+* - `V` is a double-precision array with dimension `(LDV,K)` if `storev = 'C'`, `(LDV,M)` if `storev = 'R'` and `side = 'L'`, or `(LDV,N)` if `storev = 'R'` and `side = 'R'`.
+* - `T` is a double-precision array with dimension `(LDT,K)`. The triangular `K` by `K` matrix `T` in the representation of the block reflector.
+* - `C` is a double-precision array with dimension `(LDC,N)`. On entry, the `M` by `N` matrix `C`. On exit, `C` is overwritten by the desired matrix product.
+* - `work` is a double-precision array with dimension `(LDWORK,K)`.
+*
+* @private
+* @param {string} side - specifies whether `H` or `H^T` is applied from the left or right
+* @param {string} trans - specifies whether to apply `H` or `H^T`
+* @param {string} direct - indicates how `H` is formed from a product of elementary reflectors
+* @param {string} storev - indicates how the vectors which define the elementary reflectors are stored
+* @param {NonNegativeInteger} M - number of rows of the matrix `C`
+* @param {NonNegativeInteger} N - number of columns of the matrix `C`
+* @param {NonNegativeInteger} K - order of the matrix `T`
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of `V`
+* @param {integer} strideV2 - stride of the second dimension of `V`
+* @param {integer} offsetV - index offset for `V`
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of `T`
+* @param {integer} strideT2 - stride of the second dimension of `T`
+* @param {integer} offsetT - index offset for `T`
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of `C`
+* @param {integer} strideC2 - stride of the second dimension of `C`
+* @param {integer} offsetC - index offset for `C`
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of `work`
+* @param {integer} strideWork2 - stride of the second dimension of `work`
+* @param {integer} offsetWork - index offset for `work`
+* @returns {Float64Array} updated matrix `C`
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* dlarfb( 'left', 'transpose', 'forward', 'columns', 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0 );
+*
+* // C => [ -1350.00, -1400.00, -1450.00, -30961.00, -32102.00, -33243.00, -266612.00, -275464.00, -284316.00 ]
+*/
+function dlarfb( side, trans, direct, storev, M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork ) {
+ // Quick return if possible
+ if ( M <= 0 || N <= 0 ) {
+ return C;
+ }
+
+ if ( side === 'left' ) {
+ if ( storev === 'columns' ) {
+ if ( direct === 'forward' ) {
+ return leftForwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ return leftBackwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ if ( direct === 'forward' ) {
+ return leftForwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ return leftBackwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ if ( storev === 'columns' ) {
+ if ( direct === 'forward' ) {
+ return rightForwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ return rightBackwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ if ( direct === 'forward' ) {
+ return rightForwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+ }
+ return rightBackwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans );
+}
+
+
+// EXPORTS //
+
+module.exports = dlarfb;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarft.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarft.js
new file mode 100644
index 000000000000..e6567023f56f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dlarft.js
@@ -0,0 +1,571 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-params */
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dlacpy = require( '@stdlib/lapack/base/dlacpy' ).ndarray;
+var floor = require( '@stdlib/math/base/special/floor' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Forms the triangular factor T of a real block reflector H of order N, which is defined as a product of K elementary reflectors.
+*
+* ## Notes
+*
+* - If `direct` = 'forward', `H = H(1) H(2) . . . H(k)` and `T` is upper triangular.
+* - If `direct` = 'backward', `H = H(k) . . . H(2) H(1)` and `T` is lower triangular.
+* - If `storev` = 'columns', the vector which defines the elementary reflector `H(i)` is stored in the i-th column of the array `V`, and `H = I - V * T * V**T`.
+* - If `storev` = 'rows', the vector which defines the elementary reflector `H(i)` is stored in the i-th row of the array `V`, and `H = I - V**T * T * V`.
+*
+* ## Method
+*
+* ### QR Case
+*
+* - Break \\(V\\) apart into six components
+*
+* ```tex
+* V = \left[
+* \begin{array}{cc}
+* V_{1,1} & 0 \\
+* V_{2,1} & V_{2,2} \\
+* V_{3,1} & V_{3,2}
+* \end{array}
+* \right]
+* ```
+*
+* where
+*
+* - \\(V_{1,1} \in \mathbb{R}^{l,l}\\) is unit lower triangular
+* - \\(V_{2,1} \in \mathbb{R}^{k-l,l}\\) is rectangular
+* - \\(V_{3,1} \in \mathbb{R}^{n-k,l}\\) is rectangular
+* - \\(V_{2,2} \in \mathbb{R}^{k-l,k-l}\\) is unit lower triangular
+* - \\(V_{3,2} \in \mathbb{R}^{n-k,k-l}\\) is rectangular
+*
+* - We construct the \\(T\\) matrix
+*
+* ```tex
+* T = \left[
+* \begin{array}{cc}
+* T_{1,1} & T_{1,2} \\
+* 0 & T_{2,2}
+* \end{array}
+* \right]
+* ```
+*
+* where \\(T\\) is the triangular factor obtained from block reflectors.
+*
+* - Assume we have already computed \\(T_{1,1}\\) and \\(T_{2,2}\\), and collect the associated reflectors in \\(V_1\\) and \\(V_2\\)
+*
+* ```tex
+* \begin{aligned}
+* T_{1,1} &\in \mathbb{R}^{l,l} && \text{upper triangular} \\
+* T_{2,2} &\in \mathbb{R}^{k-l,k-l} && \text{upper triangular} \\
+* T_{1,2} &\in \mathbb{R}^{l,k-l} && \text{rectangular}
+* \end{aligned}
+* ```
+*
+* with \\(l = \lfloor k/2 \rfloor\\).
+*
+* - Consider the product
+*
+* ```tex
+* \begin{aligned}
+* (I - V_1 T_{1,1} V_1^T)(I - V_2 T_{2,2} V_2^T)
+* = I - V_1 T_{1,1} V_1^T - V_2 T_{2,2} V_2^T + V_1 T_{1,1} V_1^T V_2 T_{2,2} V_2^T
+* \end{aligned}
+* ```
+*
+* - Define
+*
+* ```tex
+* T_{1,2} = -T_{1,1} V_1^T V_2 T_{2,2}
+* ```
+*
+* - Define the matrix \\(V\\) as
+*
+* ```tex
+* V = \left[
+* \begin{array}{cc}
+* V_1 & V_2
+* \end{array}
+* \right]
+* ```
+*
+* so the product is equivalent to \\(I - V T V^T\\).
+*
+* This means we can compute \\(T_{1,1}\\) and \\(T_{2,2}\\) recursively, then use this information to compute \\(T_{1,2}\\).
+*
+* ### LQ Case
+*
+* - Break \\(V\\) apart into six components
+*
+* ```tex
+* V = \left[
+* \begin{array}{ccc}
+* V_{1,1} & V_{1,2} & V_{1,3} \\
+* 0 & V_{2,2} & V_{2,3}
+* \end{array}
+* \right]
+* ```
+*
+* where
+*
+* - \\(V_{1,1} \in \mathbb{R}^{l,l}\\) is unit upper triangular
+* - \\(V_{1,2} \in \mathbb{R}^{l,k-l}\\) is rectangular
+* - \\(V_{1,3} \in \mathbb{R}^{l,n-k}\\) is rectangular
+* - \\(V_{2,2} \in \mathbb{R}^{k-l,k-l}\\) is unit upper triangular
+* - \\(V_{2,3} \in \mathbb{R}^{k-l,n-k}\\) is rectangular
+*
+* with \\(l = \lfloor k/2 \rfloor\\).
+*
+* - We construct the \\(T\\) matrix
+*
+* ```tex
+* T = \left[
+* \begin{array}{cc}
+* T_{1,1} & T_{1,2} \\
+* 0 & T_{2,2}
+* \end{array}
+* \right]
+* ```
+*
+* where \\(T\\) is the triangular factor obtained from block reflectors.
+*
+* - Assume we have already computed \\(T_{1,1}\\) and \\(T_{2,2}\\), and collect the associated reflectors in \\(V_1\\) and \\(V_2\\)
+*
+* ```tex
+* \begin{aligned}
+* T_{1,1} &\in \mathbb{R}^{l,l} && \text{upper triangular} \\
+* T_{2,2} &\in \mathbb{R}^{k-l,k-l} && \text{upper triangular} \\
+* T_{1,2} &\in \mathbb{R}^{l,k-l} && \text{rectangular}
+* \end{aligned}
+* ```
+*
+* - Consider the product
+*
+* ```tex
+* \begin{aligned}
+* (I - V_1^T T_{1,1} V_1)(I - V_2^T T_{2,2} V_2)
+* = I - V_1^T T_{1,1} V_1 - V_2^T T_{2,2} V_2 + V_1^T T_{1,1} V_1 V_2^T T_{2,2} V_2
+* \end{aligned}
+* ```
+*
+* - Define
+*
+* ```tex
+* T_{1,2} = -T_{1,1} V_1 V_2^T T_{2,2}
+* ```
+*
+* - Define the matrix \\(V\\) as
+*
+* ```tex
+* V = \left[
+* \begin{array}{c}
+* V_1 \\
+* V_2
+* \end{array}
+* \right]
+* ```
+*
+* so the product is equivalent to \\(I - V^T T V\\).
+*
+* This means we can compute \\(T_{1,1}\\) and \\(T_{2,2}\\) recursively, then use this information to compute \\(T_{1,2}\\).
+*
+* ### QL Case
+*
+* - Break \\(V\\) apart into six components
+*
+* ```tex
+* V = \left[
+* \begin{array}{cc}
+* V_{1,1} & V_{1,2} \\
+* V_{2,1} & V_{2,2} \\
+* 0 & V_{3,2}
+* \end{array}
+* \right]
+* ```
+*
+* where
+*
+* - \\(V_{1,1} \in \mathbb{R}^{n-k,k-l}\\) is rectangular
+* - \\(V_{2,1} \in \mathbb{R}^{k-l,k-l}\\) is unit upper triangular
+* - \\(V_{1,2} \in \mathbb{R}^{n-k,l}\\) is rectangular
+* - \\(V_{2,2} \in \mathbb{R}^{k-l,l}\\) is rectangular
+* - \\(V_{3,2} \in \mathbb{R}^{l,l}\\) is unit upper triangular
+*
+* - We construct the \\(T\\) matrix
+*
+* ```tex
+* T = \left[
+* \begin{array}{cc}
+* T_{1,1} & 0 \\
+* T_{2,1} & T_{2,2}
+* \end{array}
+* \right]
+* ```
+*
+* where \\(T\\) is the triangular factor obtained from block reflectors.
+*
+* - Assume we have already computed \\(T_{1,1}\\) and \\(T_{2,2}\\), and collect the associated reflectors in \\(V_1\\) and \\(V_2\\)
+*
+* ```tex
+* \begin{aligned}
+* T_{1,1} &\in \mathbb{R}^{k-l,k-l} && \text{non-unit lower triangular} \\
+* T_{2,2} &\in \mathbb{R}^{l,l} && \text{non-unit lower triangular} \\
+* T_{2,1} &\in \mathbb{R}^{l,k-l} && \text{rectangular}
+* \end{aligned}
+* ```
+*
+* with \\(l = \lfloor k/2 \rfloor\\).
+*
+* - Consider the product
+*
+* ```tex
+* \begin{aligned}
+* (I - V_2 T_{2,2} V_2^T)(I - V_1 T_{1,1} V_1^T)
+* = I - V_2 T_{2,2} V_2^T - V_1 T_{1,1} V_1^T + V_2 T_{2,2} V_2^T V_1 T_{1,1} V_1^T
+* \end{aligned}
+* ```
+*
+* - Define
+*
+* ```tex
+* T_{2,1} = -T_{2,2} V_2^T V_1 T_{1,1}
+* ```
+*
+* - Define the matrix \\(V\\) as
+*
+* ```tex
+* V = \left[
+* \begin{array}{cc}
+* V_1 & V_2
+* \end{array}
+* \right]
+* ```
+*
+* so the product is equivalent to \\(I - V T V^T\\).
+*
+* This means we can compute \\(T_{1,1}\\) and \\(T_{2,2}\\) recursively, then use this information to compute \\(T_{2,1}\\).
+*
+* ### RQ Case
+*
+* - Break \\(V\\) apart into six components
+*
+* ```tex
+* V = \left[
+* \begin{array}{ccc}
+* V_{1,1} & V_{1,2} & 0 \\
+* V_{2,1} & V_{2,2} & V_{2,3}
+* \end{array}
+* \right]
+* ```
+*
+* where
+*
+* - \\(V_{1,1} \in \mathbb{R}^{k-l,n-k}\\) is rectangular
+* - \\(V_{1,2} \in \mathbb{R}^{k-l,k-l}\\) is unit lower triangular
+* - \\(V_{2,1} \in \mathbb{R}^{l,n-k}\\) is rectangular
+* - \\(V_{2,2} \in \mathbb{R}^{l,k-l}\\) is rectangular
+* - \\(V_{2,3} \in \mathbb{R}^{l,l}\\) is unit lower triangular
+*
+* - We construct the \\(T\\) matrix
+*
+* ```tex
+* T = \left[
+* \begin{array}{cc}
+* T_{1,1} & 0 \\
+* T_{2,1} & T_{2,2}
+* \end{array}
+* \right]
+* ```
+*
+* where \\(T\\) is the triangular factor obtained from block reflectors.
+*
+* - Assume we have already computed \\(T_{1,1}\\) and \\(T_{2,2}\\), and collect the associated reflectors in \\(V_1\\) and \\(V_2\\)
+*
+* ```tex
+* \begin{aligned}
+* T_{1,1} &\in \mathbb{R}^{k-l,k-l} && \text{non-unit lower triangular} \\
+* T_{2,2} &\in \mathbb{R}^{l,l} && \text{non-unit lower triangular} \\
+* T_{2,1} &\in \mathbb{R}^{l,k-l} && \text{rectangular}
+* \end{aligned}
+* ```
+*
+* with \\(l = \lfloor k/2 \rfloor\\).
+*
+* - Consider the product
+*
+* ```tex
+* \begin{aligned}
+* (I - V_2^T T_{2,2} V_2)(I - V_1^T T_{1,1} V_1)
+* = I - V_2^T T_{2,2} V_2 - V_1^T T_{1,1} V_1 + V_2^T T_{2,2} V_2 V_1^T T_{1,1} V_1
+* \end{aligned}
+* ```
+*
+* - Define
+*
+* ```tex
+* T_{2,1} = -T_{2,2} V_2 V_1^T T_{1,1}
+* ```
+*
+* - Define the matrix \\(V\\) as
+*
+* ```tex
+* V = \left[
+* \begin{array}{c}
+* V_1 \\
+* V_2
+* \end{array}
+* \right]
+* ```
+*
+* so the product is equivalent to \\(I - V^T T V\\).
+*
+* This means we can compute \\(T_{1,1}\\) and \\(T_{2,2}\\) recursively, then use this information to compute \\(T_{2,1}\\).
+*
+* @private
+* @param {string} direct - specifies the order in which the elementary reflectors are multiplied to form the block reflector `H`
+* @param {string} storev - specifies how the vectors which define the elementary reflectors are stored
+* @param {NonNegativeInteger} N - order of the block reflector `H`
+* @param {NonNegativeInteger} K - order of the triangular factor `T` (the number of elementary reflectors)
+* @param {Float64Array} V - matrix of reflector vectors
+* @param {integer} strideV1 - stride of first dimension of `V`
+* @param {integer} strideV2 - stride of second dimension of `V`
+* @param {NonNegativeInteger} offsetV - starting index for `V`
+* @param {Float64Array} TAU - array of scalar factors of the elementary reflector `H(i)`
+* @param {integer} strideTAU - stride length for `TAU`
+* @param {NonNegativeInteger} offsetTAU - starting index for `TAU`
+* @param {Float64Array} T - output triangular matrix
+* @param {integer} strideT1 - stride of first dimension of `T`
+* @param {integer} strideT2 - stride of second dimension of `T`
+* @param {NonNegativeInteger} offsetT - starting index for `T`
+* @returns {Float64Array} `T`
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 1.0, 0.2, 0.3, -0.4, 0.5, 0.0, 1.0, -0.6, 0.7, -0.8, 0.0, 0.0, 1.0, 0.9, 1.1 ] );
+* var TAU = new Float64Array( [ 1.2, 0.7, 1.5 ] );
+* var T = new Float64Array( 9 );
+*
+* dlarft( 'forward', 'rows', 5, 3, V, 5, 1, 0, TAU, 1, 0, T, 3, 1, 0 );
+* // T => [ ~1.2, ~0.5544, ~-0.17514, 0.0, 0.7, 0.8925, 0.0, 0.0, 1.5 ]
+*/
+function dlarft( direct, storev, N, K, V, strideV1, strideV2, offsetV, TAU, strideTAU, offsetTAU, T, strideT1, strideT2, offsetT ) {
+ var colv;
+ var dirf;
+ var i0;
+ var i1;
+ var i2;
+ var i3;
+ var lq;
+ var ql;
+ var qr;
+ var i;
+ var j;
+ var l;
+
+ if ( N === 0 || K === 0 ) {
+ return T;
+ }
+
+ if ( N === 1 || K === 1 ) {
+ T[ offsetT ] = TAU[ offsetTAU ];
+ return T;
+ }
+
+ l = floor( K / 2 );
+
+ if ( direct === 'forward' ) {
+ dirf = true;
+ }
+ else {
+ dirf = false;
+ }
+
+ if ( storev === 'columns' ) {
+ colv = true;
+ }
+ else {
+ colv = false;
+ }
+
+ // QR happens when we have forward direction in column storage
+ qr = dirf & colv;
+
+ // LQ happens when we have forward direction in row storage
+ lq = dirf & ( !colv );
+
+ // QL happens when we have backward direction in column storage
+ ql = ( !dirf ) & colv;
+
+ // The last case is RQ. Due to how we structured this, if the above 3 are false, then RQ must be true, so we never store this RQ happens when we have backward direction in row storage `RQ = ( !dirf ) & ( !colv )`
+ if ( qr ) {
+ // Compute T_{1,1} recursively
+ dlarft( direct, storev, N, l, V, strideV1, strideV2, offsetV, TAU, strideTAU, offsetTAU, T, strideT1, strideT2, offsetT );
+
+ // Compute T_{2,2} recursively
+ dlarft( direct, storev, N - l, K - l, V, strideV1, strideV2, offsetV + ( ( strideV1 + strideV2 ) * l ), TAU, strideTAU, offsetTAU + ( strideTAU * l ), T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * l ) );
+
+ // Compute T_{1,2} = V_{2,1}
+ i0 = offsetT + ( strideT2 * l );
+ i1 = offsetV + ( strideV1 * l );
+ for ( j = 0; j < l; j++ ) {
+ i2 = i0;
+ i3 = i1;
+ for ( i = 0; i < K - l; i++ ) {
+ T[ i2 ] = V[ i3 ];
+ i2 += strideT2;
+ i3 += strideV1;
+ }
+ i0 += strideT1;
+ i1 += strideV2;
+ }
+
+ // T_{1,2} = T_{1,2}*V_{2,2}
+ dtrmm( 'right', 'lower', 'no-transpose', 'unit', l, K - l, 1, V, strideV1, strideV2, offsetV + ( ( strideV1 + strideV2 ) * l ), T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ // T_{1,2} = V_{3,1}'*V_{3,2} + T_{1,2}
+
+ // Note: We assume K <= N, and GEMM will do nothing if N=K
+ dgemm( 'transpose', 'no-transpose', l, K - l, N - K, 1, V, strideV1, strideV2, offsetV + ( strideV1 * K ), V, strideV1, strideV2, offsetV + ( strideV1 * K ) + ( strideV2 * l ), 1, T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ /*
+ At this point, we have that T_{1,2} = V_1'*V_2
+ All that is left is to pre and post multiply by -T_{1,1} and T_{2,2} respectively.
+
+ T_{1,2} = -T_{1,1}*T_{1,2}
+ */
+ dtrmm( 'left', 'upper', 'no-transpose', 'non-unit', l, K - l, -1, T, strideT1, strideT2, offsetT, T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ // T_{1,2} = T_{1,2}*T_{2,2}
+ dtrmm( 'right', 'upper', 'no-transpose', 'non-unit', l, K - l, 1, T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * l ), T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+ } else if ( lq ) {
+ // Compute T_{1,1} recursively
+ dlarft( direct, storev, N, l, V, strideV1, strideV2, offsetV, TAU, strideTAU, offsetTAU, T, strideT1, strideT2, offsetT );
+
+ // Compute T_{2,2} recursively
+ dlarft( direct, storev, N - l, K - l, V, strideV1, strideV2, offsetV + ( ( strideV1 + strideV2 ) * l ), TAU, strideTAU, offsetTAU + ( strideTAU * l ), T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * l ) );
+
+ // Compute T_{1,2} = V_{1,2}
+ dlacpy( 'all', l, K - l, V, strideV1, strideV2, offsetV + ( strideV2 * l ), T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ // T_{1,2} = T_{1,2}*V_{2,2}
+ dtrmm( 'right', 'upper', 'transpose', 'unit', l, K - l, 1, V, strideV1, strideV2, offsetV + ( ( strideV1 + strideV2 ) * l ), T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ // T_{1,2} = V_{1,3}*V_{2,3}' + T_{1,2}
+
+ // Note: We assume K <= N, and GEMM will do nothing if N=K
+ dgemm( 'no-transpose', 'transpose', l, K - l, N - K, 1, V, strideV1, strideV2, offsetV + ( strideV2 * K ), V, strideV1, strideV2, offsetV + ( strideV1 * l ) + ( strideV2 * K ), 1, T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ /*
+ At this point, we have that T_{1,2} = V_1*V_2'
+ All that is left is to pre and post multiply by -T_{1,1} and T_{2,2} respectively.
+
+ T_{1,2} = -T_{1,1}*T_{1,2}
+ */
+ dtrmm( 'left', 'upper', 'no-transpose', 'non-unit', l, K - l, -1, T, strideT1, strideT2, offsetT, T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+
+ // T_{1,2} = T_{1,2}*T_{2,2}
+ dtrmm( 'right', 'upper', 'no-transpose', 'non-unit', l, K - l, 1, T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * l ), T, strideT1, strideT2, offsetT + ( strideT2 * l ) );
+ } else if ( ql ) {
+ // Compute T_{1,1} recursively
+ dlarft( direct, storev, N - l, K - l, V, strideV1, strideV2, offsetV, TAU, strideTAU, offsetTAU, T, strideT1, strideT2, offsetT );
+
+ // Compute T_{2,2} recursively
+ dlarft( direct, storev, N - l, K - l, V, strideV1, strideV2, offsetV + ( ( strideV1 + strideV2 ) * l ), TAU, strideTAU, offsetTAU + ( strideTAU * l ), T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * l ) );
+
+ // Compute T_{2,1} = V_{2,2}
+ i0 = offsetT + ( strideT1 * ( K - l ) );
+ i1 = offsetV + ( strideV1 * ( N - K ) ) + ( strideV2 * ( K - l ) );
+ for ( j = 0; j < K - l; j++ ) {
+ i2 = i0;
+ i3 = i1;
+ for ( i = 0; i < l; i++ ) {
+ T[ i2 ] = V[ i3 ];
+ i2 += strideT1;
+ i3 += strideV2;
+ }
+ i0 += strideT2;
+ i1 += strideV1;
+ }
+
+ // T_{2,1} = T_{2,1}*V_{2,1}
+ dtrmm( 'right', 'upper', 'no-transpose', 'unit', l, K - l, 1, V, strideV1, strideV2, offsetV + ( strideV1 * ( N - K ) ), T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ // T_{2,1} = V_{2,2}'*V_{2,1} + T_{2,1}
+
+ // Note: We assume K <= N, and GEMM will do nothing if N=K
+ dgemm( 'transpose', 'no-transpose', l, K - l, N - K, 1, V, strideV1, strideV2, offsetV + ( strideV2 * ( K - l ) ), V, strideV1, strideV2, offsetV, 1, T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ /*
+ At this point, we have that T_{2,1} = V_2'*V_1
+ All that is left is to pre and post multiply by -T_{2,2} and T_{1,1} respectively.
+
+ T_{2,1} = -T_{2,2}*T_{2,1}
+ */
+ dtrmm( 'left', 'lower', 'no-transpose', 'non-unit', l, K - l, -1, T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * ( K - l ) ), T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ // T_{2,1} = T_{2,1}*T_{1,1}
+ dtrmm( 'right', 'lower', 'no-transpose', 'non-unit', l, K - l, 1, T, strideT1, strideT2, offsetT, T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+ } else {
+ // Else means RQ case
+
+ // Compute T_{1,1} recursively
+ dlarft( direct, storev, N - l, K - l, V, strideV1, strideV2, offsetV, TAU, strideTAU, offsetTAU, T, strideT1, strideT2, offsetT );
+
+ // Compute T_{2,2} recursively
+ dlarft( direct, storev, N, l, V, strideV1, strideV2, offsetV + ( strideV1 * ( K - l ) ), TAU, strideTAU, offsetTAU + ( strideTAU * ( K - l ) ), T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * ( K - l ) ) );
+
+ // Compute T_{2,1} = V_{2,2}
+ dlacpy( 'all', l, K - l, V, strideV1, strideV2, offsetV + ( strideV1 * ( K - l ) ) + ( strideV2 * ( N - K ) ), T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ // T_{2,1} = T_{2,1}*V_{1,2}
+ dtrmm( 'right', 'lower', 'transpose', 'unit', l, K - l, 1, V, strideV1, strideV2, offsetV + ( strideV2 * ( N - K ) ), T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ // T_{2,1} = V_{2,1}*V_{1,1}' + T_{2,1}
+
+ // Note: We assume K <= N, and GEMM will do nothing if N=K
+ dgemm('no-transpose', 'transpose', l, K - l, N - K, 1, V, strideV1, strideV2, offsetV + ( strideV1 * ( K - l ) ), V, strideV1, strideV2, offsetV, 1, T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ /*
+ At this point, we have that T_{2,1} = V_2*V_1'
+ All that is left is to pre and post multiply by -T_{2,2} and T_{1,1} respectively.
+
+ T_{2,1} = -T_{2,2}*T_{2,1}
+ */
+ dtrmm( 'left', 'lower', 'no-transpose', 'non-unit', l, K - l, -1, T, strideT1, strideT2, offsetT + ( ( strideT1 + strideT2 ) * ( K - l ) ), T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+
+ // T_{2,1} = T_{2,1}*T_{1,1}
+ dtrmm( 'right', 'lower', 'no-transpose', 'non-unit', l, K - l, 1, T, strideT1, strideT2, offsetT, T, strideT1, strideT2, offsetT + ( strideT1 * ( K - l ) ) );
+ }
+ return T;
+}
+
+
+// EXPORTS //
+
+module.exports = dlarft;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dorm2r.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dorm2r.js
new file mode 100644
index 000000000000..d32784c25365
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dorm2r.js
@@ -0,0 +1,147 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dlarf1f = require( '@stdlib/lapack/base/dlarf1f' ).ndarray;
+
+
+// MAIN //
+
+/**
+* Multiplies a matrix `C` by an orthogonal matrix `Q` from a QR factorization.
+*
+* ## Notes
+*
+* `dorm2r` overwrites the general real M by N matrix C with
+*
+* - `Q * C` if side = 'left' and trans = 'no-transpose'
+* - `Q^T * C` if side = 'left' and trans = 'transpose'
+* - `C * Q` if side = 'right' and trans = 'no-transpose'
+* - `C * Q^T` if side = 'right' and trans = 'transpose'
+*
+* where Q is a real orthogonal matrix defined as the product of K elementary reflectors `Q = H(1) H(2) ... H(K)` as returned by `dgeqrf`. Q is of order M if side = 'left' and of order N if side = 'right'.
+*
+* @private
+* @param {string} side - specifies the side of multiplication with `C`
+* @param {string} trans - specifies the operation to be performed
+* @param {NonNegativeInteger} M - number of rows in matrix `C`
+* @param {NonNegativeInteger} N - number of columns in matrix `C`
+* @param {NonNegativeInteger} K - number of elementary reflectors whose product defines the matrix `Q`
+* @param {Float64Array} A - input matrix containing the elementary reflectors
+* @param {integer} strideA1 - stride length for the first dimension of `A`
+* @param {integer} strideA2 - stride length for the second dimension of `A`
+* @param {NonNegativeInteger} offsetA - starting index for `A`
+* @param {Float64Array} tau - array containing the scalar factors of the elementary reflectors
+* @param {integer} strideTau - stride length for `tau`
+* @param {NonNegativeInteger} offsetTau - starting index for `tau`
+* @param {Float64Array} C - input/output matrix to be multiplied
+* @param {integer} strideC1 - stride length for the first dimension of `C`
+* @param {integer} strideC2 - stride length for the second dimension of `C`
+* @param {NonNegativeInteger} offsetC - starting index for `C`
+* @param {Float64Array} work - workspace array for intermediate calculations
+* @param {integer} strideWork - stride length for `work`
+* @param {NonNegativeInteger} offsetWork - starting index for `work`
+* @returns {Float64Array} the modified matrix `C`
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 0.0, 0.0, 2.0, 4.0, 0.0, 3.0, 5.0, 6.0 ] );
+* var tau = new Float64Array( [ 7.0, 8.0, 9.0 ] );
+* var C = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] );
+* var work = new Float64Array( 3 );
+*
+* dorm2r( 'left', 'no-transpose', 3, 3, 3, A, 3, 1, 0, tau, 1, 0, C, 3, 1, 0, work, 1, 0 );
+* // C => [ -261638.0, -298618.0, -335598.0, -521066.0, -594715.0, -668364.0, -773933.0, -883324.0, -992715.0 ]
+*/
+function dorm2r( side, trans, M, N, K, A, strideA1, strideA2, offsetA, tau, strideTau, offsetTau, C, strideC1, strideC2, offsetC, work, strideWork, offsetWork ) { // eslint-disable-line max-params, max-len
+ var aOffset;
+ var cOffset;
+ var tauVal;
+ var notran;
+ var passC1;
+ var passC2;
+ var passA;
+ var left;
+ var i1;
+ var i2;
+ var i3;
+ var mi;
+ var ni;
+ var ic;
+ var jc;
+ var i;
+
+ // Quick return if possible
+ if ( M === 0 || N === 0 || K === 0 ) {
+ return C;
+ }
+
+ left = ( side === 'left' );
+ notran = ( trans === 'no-transpose' );
+
+ // Determine loop indices based on side and trans
+ if ( ( left && !notran ) || ( !left && notran ) ) {
+ i1 = 1;
+ i2 = K;
+ i3 = 1;
+ } else {
+ i1 = K;
+ i2 = 1;
+ i3 = -1;
+ }
+
+ // Initialize dimensions
+ if ( left ) {
+ ni = N;
+ jc = 1;
+ } else {
+ mi = M;
+ ic = 1;
+ }
+
+ for ( i = i1; ( i3 > 0 ) ? ( i <= i2 ) : ( i >= i2 ); i += i3 ) { // loop going from 1..K or K..1
+ if ( left ) {
+ mi = M - i + 1;
+ ic = i;
+ } else {
+ ni = N - i + 1;
+ jc = i;
+ }
+
+ tauVal = tau[ offsetTau + ( ( i - 1 ) * strideTau ) ];
+ aOffset = offsetA + ( ( i - 1 ) * strideA1 ) + ( ( i - 1 ) * strideA2 );
+
+ passA = strideA1;
+ passC1 = strideC1;
+ passC2 = strideC2;
+ cOffset = offsetC + ( (ic-1) * strideC1 ) + ( (jc-1) * strideC2 );
+
+ dlarf1f( side, mi, ni, A, passA, aOffset, tauVal, C, passC1, passC2, cOffset, work, strideWork, offsetWork ); // eslint-disable-line max-len
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = dorm2r;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dormqr.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dormqr.js
new file mode 100644
index 000000000000..e7a9b77f2431
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dormqr.js
@@ -0,0 +1,165 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-params */
+
+'use strict';
+
+// MODULES //
+
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var format = require( '@stdlib/string/format' );
+var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
+var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
+var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
+var max = require( '@stdlib/math/base/special/fast/max' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
+*
+* ## Notes
+*
+* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+*
+* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+*
+* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+*
+* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+* - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+* - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+*
+* - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+*
+* @param {string} order - storage layout
+* @param {string} side - specifies the side of multiplication with `C`
+* @param {string} trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+* @param {NonNegativeInteger} M - number of rows of `C`
+* @param {NonNegativeInteger} N - number of columns of `C`
+* @param {NonNegativeInteger} K - number of elementary reflectors
+* @param {Float64Array} A - reflector vectors from `DGEQRF`
+* @param {integer} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param {Float64Array} TAU - scalar factors of reflectors
+* @param {Float64Array} C - input/output matrix
+* @param {integer} LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
+* @param {Float64Array} WORK - workspace array
+* @param {NonNegativeInteger} LWORK - dimension of the array `WORK`
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must be a valid side
+* @throws {TypeError} third argument must be a valid transpose operation
+* @throws {RangeError} fourth argument must be a non-negative integer
+* @throws {RangeError} fifth argument must be a non-negative integer
+* @throws {RangeError} sixth argument must be a non-negative integer
+* @throws {RangeError} sixth argument must be smaller than the order of `Q`
+* @throws {RangeError} eighth argument must be a valid `LDA` value
+* @throws {RangeError} eleventh argument must be a valid `LDC` value
+* @throws {RangeError} thirteenth argument must be a valid `LWORK` value
+* @returns {integer} status code (0 if successful)
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1, 0, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 3, WORK, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+* // WORK[ 0 ] => 4256
+*/
+function dormqr( order, side, trans, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK ) {
+ var sa1;
+ var sa2;
+ var sc1;
+ var sc2;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ if ( !isOperationSide( side ) ) {
+ throw new TypeError( format( 'invalid argument. Second argument must be a valid operation side. Value: `%s`.', side ) );
+ }
+ if ( !isMatrixTranspose( trans ) ) {
+ throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) );
+ }
+ if ( M < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', M ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( K < 0 ) {
+ throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', K ) );
+ }
+ if ( side === 'left' ) {
+ if ( K > M ) {
+ throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
+ }
+ if ( ( !isRowMajor( order ) ) && LDA < max( 1, M ) ) {
+ throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,M)`. Value: `%d`.', LDA ) );
+ }
+ if ( LWORK < max( 1, N ) && LWORK !== -1 ) {
+ throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to `max(1, N)` when `SIDE = \'L\'`. Value: `%d`.', LWORK ) );
+ }
+ }
+ if ( side === 'right' ) {
+ if ( K > N ) {
+ throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
+ }
+ if ( ( !isRowMajor( order ) ) && LDA < max( 1, N ) ) {
+ throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,N)`. Value: `%d`.', LDA ) );
+ }
+ if ( LWORK < max( 1, M ) && LWORK !== -1 ) {
+ throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to `max(1, M)` when `SIDE = \'R\'`. Value: `%d`.', LWORK ) );
+ }
+ }
+ if ( isRowMajor( order ) ) {
+ if ( LDA < max( 1, K ) ) {
+ throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,K)`. Value: `%d`.', LDA ) );
+ }
+ if ( LDC < max( 1, N ) ) {
+ throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to `max(1,N)`. Value: `%d`.', LDC ) );
+ }
+ } else if ( LDC < max( 1, M ) ) {
+ throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to `max(1,M)`. Value: `%d`.', LDC ) );
+ }
+ if ( order === 'column-major' ) {
+ sa1 = 1;
+ sa2 = LDA;
+ sc1 = 1;
+ sc2 = LDC;
+ } else {
+ sa1 = LDA;
+ sa2 = 1;
+ sc1 = LDC;
+ sc2 = 1;
+ }
+ return base( side, trans, M, N, K, A, sa1, sa2, 0, TAU, 1, 0, C, sc1, sc2, 0, WORK, 1, 0, LWORK );
+}
+
+
+// EXPORTS //
+
+module.exports = dormqr;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dtrmm.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dtrmm.js
new file mode 100644
index 000000000000..f360237c6ef3
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/dtrmm.js
@@ -0,0 +1,362 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-statements, max-lines-per-function */
+
+'use strict';
+
+// MODULES //
+
+var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
+
+
+// FUNCTIONS //
+
+/**
+* Fills a matrix with zeros.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows
+* @param {NonNegativeInteger} N - number of columns
+* @param {Float64Array} X - matrix to fill
+* @param {integer} strideX1 - stride of the first dimension of `X`
+* @param {integer} strideX2 - stride of the second dimension of `X`
+* @param {NonNegativeInteger} offsetX - starting index for `X`
+* @returns {Float64Array} input matrix
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var X = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+*
+* zeros( 2, 3, X, 3, 1, 0 );
+* // X => [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var X = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+*
+* zeros( 2, 3, X, 1, 2, 0 );
+* // X => [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+*/
+function zeros( M, N, X, strideX1, strideX2, offsetX ) { // TODO: consider moving to a separate package
+ var dx0;
+ var dx1;
+ var S0;
+ var S1;
+ var i0;
+ var i1;
+ var ix;
+
+ if ( isRowMajor( [ strideX1, strideX2 ] ) ) {
+ // For row-major matrices, the last dimension has the fastest changing index...
+ S0 = N;
+ S1 = M;
+ dx0 = strideX2; // offset increment for innermost loop
+ dx1 = strideX1 - ( S0*strideX2 ); // offset increment for outermost loop
+ } else { // column-major
+ // For column-major matrices, the first dimension has the fastest changing index...
+ S0 = M;
+ S1 = N;
+ dx0 = strideX1; // offset increment for innermost loop
+ dx1 = strideX2 - ( S0*strideX1 ); // offset increment for outermost loop
+ }
+ ix = offsetX;
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ X[ ix ] = 0.0;
+ ix += dx0;
+ }
+ ix += dx1;
+ }
+ return X;
+}
+
+
+// MAIN //
+
+/**
+* Performs one of the matrix-matrix operations `B = α * op(A) * B` or `B = α * B * op(A)` where `α` is a scalar, `B` is an `M` by `N` matrix, `A` is a unit, or non-unit, upper or lower triangular matrix and `op( A )` is one of `op( A ) = A` or `op( A ) = A^T`.
+*
+* @private
+* @param {string} side - specifies whether `op( A )` appears on the left or right side of `B`
+* @param {string} uplo - specifies whether the upper or lower triangular part of the matrix `A` should be referenced
+* @param {string} transa - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+* @param {string} diag - specifies whether or not `A` is unit triangular
+* @param {NonNegativeInteger} M - number of rows in `B`
+* @param {NonNegativeInteger} N - number of columns in `B`
+* @param {number} alpha - scalar constant
+* @param {Float64Array} A - first input matrix
+* @param {integer} strideA1 - stride of the first dimension of `A`
+* @param {integer} strideA2 - stride of the second dimension of `A`
+* @param {NonNegativeInteger} offsetA - starting index for `A`
+* @param {Float64Array} B - second input matrix
+* @param {integer} strideB1 - stride of the first dimension of `B`
+* @param {integer} strideB2 - stride of the second dimension of `B`
+* @param {NonNegativeInteger} offsetB - starting index for `B`
+* @returns {Float64Array} `B`
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 0.0, 0.0, 2.0, 3.0, 0.0, 4.0, 5.0, 6.0 ] );
+* var B = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] );
+*
+* dtrmm( 'left', 'lower', 'no-transpose', 'unit', 3, 3, 1.0, A, 3, 1, 0, B, 3, 1, 0 );
+* // B => [ 1.0, 2.0, 3.0, 6.0, 9.0, 12.0, 31.0, 41.0, 51.0 ]
+*/
+function dtrmm( side, uplo, transa, diag, M, N, alpha, A, strideA1, strideA2, offsetA, B, strideB1, strideB2, offsetB ) { // eslint-disable-line max-params
+ var nonunit;
+ var isrma;
+ var tmp;
+ var oa2;
+ var ob2;
+ var sa0;
+ var sa1;
+ var sb0;
+ var sb1;
+ var oa;
+ var ob;
+ var ia;
+ var ib;
+ var i;
+ var j;
+ var k;
+ var t;
+
+ // Note on variable naming convention: sa#, sb# where # corresponds to the loop number, with `0` being the innermost loop...
+
+ nonunit = ( diag === 'non-unit' );
+
+ if ( M === 0 || N === 0 ) {
+ return B;
+ }
+
+ // Handle alpha = 0 before any layout conversion (zeroing uses original layout)...
+ if ( alpha === 0.0 ) {
+ if ( isRowMajor( [ strideB1, strideB2 ] ) ) {
+ sb0 = strideB2;
+ sb1 = strideB1;
+ } else {
+ sb0 = strideB1;
+ sb1 = strideB2;
+ }
+ zeros( M, N, B, sb0, sb1, offsetB );
+ return B;
+ }
+
+ // Detect layout and convert column-major to an equivalent row-major problem...
+ isrma = isRowMajor( [ strideA1, strideA2 ] );
+ if ( !isrma ) {
+ // Swap strides: effectively view A and B as transposed (row-major)...
+ t = strideA1;
+ strideA1 = strideA2;
+ strideA2 = t;
+
+ t = strideB1;
+ strideB1 = strideB2;
+ strideB2 = t;
+
+ side = ( side === 'left' ) ? 'right' : 'left';
+ uplo = ( uplo === 'upper' ) ? 'lower' : 'upper';
+ t = M;
+ M = N;
+ N = t;
+ }
+
+ // For row-major matrices, the last dimension has the fastest changing index...
+ sa0 = strideA2; // stride for innermost loop
+ sa1 = strideA1; // stride for outermost loop
+ sb0 = strideB2; // stride for innermost loop
+ sb1 = strideB1; // stride for outermost loop
+
+ if ( side === 'left' && uplo === 'upper' && transa === 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ib = offsetB + ( j*sb0 );
+ for ( k = 0; k < M; k++ ) {
+ ob2 = ib + ( k * sb1 );
+ tmp = alpha * B[ ob2 ];
+ ia = offsetA + ( k*sa0 );
+ for ( i = 0; i < k; i++ ) {
+ B[ ib + ( i*sb1 ) ] += ( tmp * A[ ia + ( i*sa1 ) ] );
+ }
+ if ( nonunit ) {
+ tmp *= A[ ia + ( k*sa1 ) ];
+ }
+ B[ ob2 ] = tmp;
+ }
+ }
+ return B;
+ }
+ if ( side === 'left' && uplo === 'lower' && transa === 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ib = offsetB + ( j*sb0 );
+ for ( k = M - 1; k >= 0; k-- ) {
+ ob2 = ib + ( k*sb1 );
+ tmp = alpha * B[ ob2 ];
+ ia = offsetA + ( k*sa0 );
+ for ( i = k + 1; i < M; i++ ) {
+ oa2 = ia + ( i*sa1 );
+ B[ ib + ( i*sb1 ) ] += ( tmp * A[ oa2 ] );
+ }
+ if ( nonunit ) {
+ tmp *= A[ ia + ( k*sa1 ) ];
+ }
+ B[ ob2 ] = tmp;
+ }
+ }
+ return B;
+ }
+ if ( side === 'left' && uplo === 'upper' && transa !== 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ib = offsetB + ( j*sb0 );
+ for ( i = M - 1; i >= 0; i-- ) {
+ ob2 = ib + ( i*sb1 );
+ tmp = 0.0;
+ ia = offsetA + ( i*sa0 );
+ if ( nonunit ) {
+ tmp += ( A[ ia + ( i*sa1 ) ] * B[ ob2 ] );
+ } else {
+ tmp += B[ ob2 ];
+ }
+ for ( k = 0; k < i; k++ ) {
+ oa2 = ia + ( k*sa1 );
+ tmp += A[ oa2 ] * B[ ib + ( k*sb1 ) ];
+ }
+ B[ ob2 ] = alpha * tmp;
+ }
+ }
+ return B;
+ }
+ if ( side === 'left' && uplo === 'lower' && transa !== 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ib = offsetB + ( j * sb0 );
+ for ( i = 0; i < M; i++ ) {
+ ia = offsetA + ( i * sa0 );
+ ob2 = ib + ( i * sb1 );
+ tmp = 0.0;
+ for ( k = i + 1; k < M; k++ ) {
+ tmp += A[ ia + ( k * sa1 ) ] * B[ ib + ( k * sb1 ) ];
+ }
+ if ( nonunit ) {
+ tmp += ( A[ ia + ( i * sa1 ) ] * B[ ob2 ] );
+ } else {
+ tmp += B[ ob2 ];
+ }
+ B[ ob2 ] = alpha * tmp;
+ }
+ }
+ return B;
+ }
+ if ( side === 'right' && uplo === 'upper' && transa === 'no-transpose' ) {
+ for ( j = N - 1; j >= 0; j-- ) {
+ ia = offsetA + ( j*sa0 );
+ ib = offsetB + ( j*sb0 );
+ for ( i = 0; i < M; i++ ) {
+ ob = ib + ( i*sb1 );
+ B[ ob ] *= alpha;
+ if ( nonunit ) {
+ oa2 = ia + ( j*sa1 );
+ tmp = A[ oa2 ];
+ B[ ob ] *= tmp;
+ }
+ for ( k = 0; k < j; k++ ) {
+ oa2 = ia + ( k*sa1 );
+ ob2 = offsetB + ( k*sb0 );
+ if ( A[ oa2 ] !== 0.0 ) {
+ tmp = alpha * A[ oa2 ];
+ B[ ob ] += ( tmp * B[ ob2 + ( i*sb1 ) ] );
+ }
+ }
+ }
+ }
+ return B;
+ }
+ if ( side === 'right' && uplo === 'lower' && transa === 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ia = offsetA + ( j*sa0 );
+ for ( i = 0; i < M; i++ ) {
+ ib = offsetB + ( i*sb1 );
+ ob = ib + ( j*sb0 );
+ B[ ob ] *= alpha;
+ if ( nonunit ) {
+ oa = ia + ( j*sa1 );
+ B[ ob ] *= A[ oa ];
+ }
+ for ( k = j + 1; k < N; k++ ) {
+ oa2 = ia + ( k*sa1 );
+ ob2 = ib + ( k*sb0 );
+ if ( A[ oa2 ] !== 0.0 ) {
+ tmp = alpha * A[ oa2 ];
+ B[ ob ] += ( tmp * B[ ob2 ] );
+ }
+ }
+ }
+ }
+ return B;
+ }
+ if ( side === 'right' && uplo === 'upper' && transa !== 'no-transpose' ) {
+ for ( j = 0; j < N; j++ ) {
+ ia = offsetA + ( j*sa1 );
+ for ( i = 0; i < M; i++ ) {
+ ib = offsetB + ( i*sb1 );
+ oa = ia + ( j*sa0 );
+ ob = ib + ( j*sb0 );
+ if ( nonunit ) {
+ tmp = B[ ob ] * A[ oa ];
+ } else {
+ tmp = B[ ob ];
+ }
+ for ( k = j + 1; k < N; k++ ) {
+ oa2 = ia + ( k*sa0 );
+ ob2 = ib + ( k*sb0 );
+ tmp += ( B[ ob2 ] * A[ oa2 ] );
+ }
+ B[ ob ] = alpha * tmp;
+ }
+ }
+ return B;
+ }
+ // side === 'right', uplo === 'lower', transa !== 'no-transpose'
+ for ( i = 0; i < M; i++ ) {
+ ib = offsetB + ( i*sb1 );
+ for ( j = N - 1; j >= 0; j-- ) {
+ ia = offsetA + ( j*sa1 );
+ oa = ia + ( j*sa0 );
+ ob = ib + ( j*sb0 );
+ if ( nonunit ) {
+ tmp = B[ ob ] * A[ oa ];
+ } else {
+ tmp = B[ ob ];
+ }
+ for ( k = 0; k < j; k++ ) {
+ oa2 = ia + ( k*sa0 );
+ ob2 = ib + ( k*sb0 );
+ tmp += ( B[ ob2 ] * A[ oa2 ] );
+ }
+ B[ ob ] = alpha * tmp;
+ }
+ }
+ return B;
+}
+
+
+// EXPORTS //
+
+module.exports = dtrmm;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/index.js
new file mode 100644
index 000000000000..93f5d77a31d2
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/index.js
@@ -0,0 +1,66 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* LAPACK routine to multiply a general matrix by the orthogonal matrix from a LQ factorization determined by `DGELQF`.
+*
+* @module @stdlib/lapack/base/dormqr
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dormqr = require( '@stdlib/lapack/base/dormqr' );
+*
+* var A = new Float64Array( [ 1, 0, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 3, WORK, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+* // WORK[ 0 ] => 4256
+* // WORK[ 1 ] => 3
+* // WORK[ 2 ] => 5
+*/
+
+// MODULES //
+
+var join = require( 'path' ).join;
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isError = require( '@stdlib/assert/is-error' );
+var main = require( './main.js' );
+
+
+// MAIN //
+
+var dormqr;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ dormqr = main;
+} else {
+ dormqr = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dormqr;
+
+// exports: { "ndarray": "dormqr.ndarray" }
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_columns.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_columns.js
new file mode 100644
index 000000000000..5a71b0c9aec0
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_columns.js
@@ -0,0 +1,162 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the left, with backward direction and column storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = leftBackwardColumns( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -557890.0, -592880.0, -627870.0, -596341.0, -632662.0, -668983.0, -7412.0, -7864.0, -8316.0 ]
+*/
+function leftBackwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var transt;
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var i;
+ var j;
+ var o;
+
+ if ( trans === 'no-transpose' ) {
+ transt = 'transpose';
+ } else {
+ transt = 'no-transpose';
+ }
+
+ /* Let V = ( V1 )
+ * ( V2 ) (last K rows)
+ * Where V2 is unit upper triangular.
+ */
+
+ /* Form H * C or H^T * C where C = ( C1 )
+ * ( C2 )
+ * W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
+ * W := C2**T
+ */
+ ic = offsetC + ( (M-K) * strideC1 );
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ iw = offsetWork + ( j * strideWork2 );
+ dcopy( N, C, strideC2, ic, work, strideWork1, iw );
+ ic += strideC1;
+ iw += strideWork2;
+ }
+ // W := W * V2
+ iv = offsetV + ( (M-K) * strideV1 );
+ dtrmm( 'right', 'upper', 'no-transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+ if ( M > K ) {
+ // W := W + C1**T * V1
+ dgemm( 'transpose', 'no-transpose', N, K, M-K, 1.0, C, strideC1, strideC2, offsetC, V, strideV1, strideV2, offsetV, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T**T or W * T
+ dtrmm( 'right', 'lower', transt, 'non-unit', N, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - V * W**T
+ if ( M > K ) {
+ // C1 := C1 - V1 * W**T
+ dgemm( 'no-transpose', 'transpose', M-K, N, K, -1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork, 1.0, C, strideC1, strideC2, offsetC );
+ }
+ // W := W * V2**T
+ iv = offsetV + ( (M-K) * strideV1 );
+ dtrmm( 'right', 'upper', 'transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+
+ // C2 := C2 - W**T
+ o = loopOrder( [ K, N ], [ strideC2, strideC1 ], [ strideWork1, strideWork2 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ ia = offsetC + ( (M-K) * strideC1 );
+ ib = offsetWork;
+
+ for ( j = 0; j < S1; j++ ) {
+ for ( i = 0; i < S0; i++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = leftBackwardColumns;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_rows.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_rows.js
new file mode 100644
index 000000000000..89bedab3ecee
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_backward_rows.js
@@ -0,0 +1,165 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the left, with backward direction and row storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = leftBackwardRows( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -155530.0, -164560.0, -173590.0, -292241.0, -308662.0, -325083.0, -4832.0, -5104.0, -5376.0 ]
+*/
+function leftBackwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var transt;
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ if ( trans === 'no-transpose' ) {
+ transt = 'transpose';
+ } else {
+ transt = 'no-transpose';
+ }
+
+ /* Let V = ( V1 V2 ) (V2: last K columns)
+ * Where V2 is unit lower triangular.
+ */
+
+ /* Form H * C or H^T * C where C = ( C1 )
+ * ( C2 )
+ * W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+ * W := C2**T
+ */
+ ic = offsetC;
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( N, C, strideC2, ic, work, strideWork1, iw );
+ ic += strideC1;
+ iw += strideWork2;
+ }
+ // W := W * V2**T
+ iv = offsetV + ( (M-K) * strideV2 );
+ dtrmm( 'right', 'lower', 'transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+ if ( M > K ) {
+ // W := W + C1**T * V1**T
+ dgemm( 'transpose', 'transpose', N, K, M-K, 1.0, C, strideC1, strideC2, offsetC, V, strideV1, strideV2, offsetV, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T**T or W * T
+ dtrmm( 'right', 'lower', transt, 'non-unit', N, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - V**T * W**T
+ if ( M > K ) {
+ // C1 := C1 - V1**T * W**T
+ dgemm( 'transpose', 'transpose', M-K, N, K, -1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork, 1.0, C, strideC1, strideC2, offsetC );
+ }
+ // W := W * V2
+ iv = offsetV + ( (M-K) * strideV2 );
+ dtrmm( 'right', 'lower', 'no-transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+
+ // C2 := C2 - W**T
+ o = loopOrder( [ K, N ], [ strideC1, strideC2 ], [ strideWork2, strideWork1 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC + ( (M-K) * strideC1 );
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = leftBackwardRows;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_columns.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_columns.js
new file mode 100644
index 000000000000..e7b134abf652
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_columns.js
@@ -0,0 +1,168 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the left, with forward direction and column storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = leftForwardColumns( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -1350.0, -1400.0, -1450.0, -30961.0, -32102.0, -33243.0, -266612.0, -275464.0, -284316.0 ]
+*/
+function leftForwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var transt;
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ if ( trans === 'no-transpose' ) {
+ transt = 'transpose';
+ } else {
+ transt = 'no-transpose';
+ }
+
+ /* Let V = ( V1 ) (first K rows)
+ * ( V2 )
+ * Where V1 is unit lower triangular.
+ */
+
+ /* Form H * C or H^T * C where C = ( C1 )
+ * ( C2 )
+ * W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
+ * W := C1**T
+ */
+ ic = offsetC;
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( N, C, strideC2, ic, work, strideWork1, iw );
+ ic += strideC1;
+ iw += strideWork2;
+ }
+ // W := W * V1
+ dtrmm( 'right', 'lower', 'no-transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+ if ( M > K ) {
+ // W := W + C2**T * V2
+ ic = offsetC + ( K * strideC1 ); // C( k+1, 1 ) - 0 based index
+ iv = offsetV + ( K * strideV1 ); // V( k+1, 1 ) - 0 based index
+ dgemm( 'transpose', 'no-transpose', N, K, M-K, 1.0, C, strideC1, strideC2, ic, V, strideV1, strideV2, iv, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T**T or W * T
+ dtrmm( 'right', 'upper', transt, 'non-unit', N, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - V * W**T
+ if ( M > K ) {
+ // C2 := C2 - V2 * W**T
+ ic = offsetC + ( K * strideC1 ); // C( k+1, 1 ) - 0 based index
+ iv = offsetV + ( K * strideV1 ); // V( k+1, 1 ) - 0 based index
+ dgemm( 'no-transpose', 'transpose', M-K, N, K, -1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork, 1.0, C, strideC1, strideC2, ic );
+ }
+ // W := W * V1**T
+ dtrmm( 'right', 'lower', 'transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+
+ // C1 := C1 - W**T
+ o = loopOrder( [ K, N ], [ strideC1, strideC2 ], [ strideWork2, strideWork1 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC;
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = leftForwardColumns;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_rows.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_rows.js
new file mode 100644
index 000000000000..d62c3646d67f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/left_forward_rows.js
@@ -0,0 +1,167 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the left, with forward direction and row storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = leftForwardRows( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -3010.0, -3120.0, -3230.0, -125821.0, -130422.0, -135023.0, -611692.0, -632424.0, -653156.0 ]
+*/
+function leftForwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var transt;
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ if ( trans === 'no-transpose' ) {
+ transt = 'transpose';
+ } else {
+ transt = 'no-transpose';
+ }
+
+ /* Let V = ( V1 V2 ) (V1: first K columns)
+ * Where V1 is unit upper triangular.
+ */
+
+ /* Form H * C or H^T * C where C = ( C1 )
+ * ( C2 )
+ * W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in work)
+ * W := C1**T
+ */
+ ic = offsetC;
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( N, C, strideC2, ic, work, strideWork1, iw );
+ ic += strideC1;
+ iw += strideWork2;
+ }
+ // W := W * V1**T
+ dtrmm( 'right', 'upper', 'transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+ if ( M > K ) {
+ // W := W + C2**T * V2**T
+ ic = offsetC + ( K * strideC1 );
+ iv = offsetV + ( K * strideV2 );
+ dgemm( 'transpose', 'transpose', N, K, M-K, 1.0, C, strideC1, strideC2, ic, V, strideV1, strideV2, iv, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T**T or W * T
+ dtrmm( 'right', 'upper', transt, 'non-unit', N, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - V**T * W**T
+ if ( M > K ) {
+ // C2 := C2 - V2**T * W**T
+ ic = offsetC + ( K * strideC1 );
+ iv = offsetV + ( K * strideV2 );
+ dgemm( 'transpose', 'transpose', M-K, N, K, -1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork, 1.0, C, strideC1, strideC2, ic );
+ }
+ // W := W * V1
+ dtrmm( 'right', 'upper', 'no-transpose', 'unit', N, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+
+ // C1 := C1 - W**T
+ o = loopOrder( [ K, N ], [ strideC1, strideC2 ], [ strideWork2, strideWork1 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC;
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = leftForwardRows;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/main.js
new file mode 100644
index 000000000000..089174a24d67
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/main.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var dormqr = require( './dormqr.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( dormqr, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = dormqr;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/ndarray.js
new file mode 100644
index 000000000000..94973103e563
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/ndarray.js
@@ -0,0 +1,135 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len, max-params */
+
+'use strict';
+
+// MODULES //
+
+var format = require( '@stdlib/string/format' );
+var max = require( '@stdlib/math/base/special/max' );
+var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
+var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`using alternate indexing semantics.
+*
+* ## Notes
+*
+* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
+*
+* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
+*
+* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
+*
+* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
+* - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
+* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
+* - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
+*
+* - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
+*
+* @param {string} side - specifies the side of multiplication with `C`
+* @param {string} trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
+* @param {NonNegativeInteger} M - number of rows of `C`
+* @param {NonNegativeInteger} N - number of columns of `C`
+* @param {NonNegativeInteger} K - number of elementary reflectors
+* @param {Float64Array} A - reflector vectors from `DGEQRF`
+* @param {integer} strideA1 - stride of the first dimension of A
+* @param {integer} strideA2 - stride of the second dimension of A
+* @param {NonNegativeInteger} offsetA - starting index for A
+* @param {Float64Array} TAU - scalar factors of reflectors
+* @param {integer} strideTAU - stride for TAU
+* @param {NonNegativeInteger} offsetTAU - starting index for TAU
+* @param {Float64Array} C - input/output matrix
+* @param {integer} strideC1 - stride of the first dimension of `C`
+* @param {integer} strideC2 - stride of the second dimension of `C`
+* @param {NonNegativeInteger} offsetC - starting index for `C`
+* @param {Float64Array} WORK - workspace array
+* @param {integer} strideWORK - stride for `WORK`
+* @param {NonNegativeInteger} offsetWORK - starting index for `WORK`
+* @param {NonNegativeInteger} LWORK - dimension of the array `WORK`
+* @throws {TypeError} first argument must be a valid side
+* @throws {TypeError} second argument must be a valid transpose operation
+* @throws {RangeError} third argument must be a non-negative integer
+* @throws {RangeError} fourth argument must be a non-negative integer
+* @throws {RangeError} fifth argument must be a non-negative integer
+* @throws {RangeError} fifth argument must be smaller than the order of `Q`
+* @throws {RangeError} nineteenth argument must be a valid `LWORK` value
+* @returns {integer} status code (0 if successful)
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1, 0, 0 ] );
+* var TAU = new Float64Array( [ 2 ] );
+* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+* var WORK = new Float64Array( 64 );
+*
+* var info = dormqr( 'left', 'no-transpose', 2, 3, 1, A, 2, 1, 0, TAU, 1, 0, C, 3, 1, 0, WORK, 1, 0, 64 );
+* // returns 0
+* // C => [ -1, -3, -5, 2, 4, 6 ]
+* // WORK[ 0 ] => 4256
+* // WORK[ 1 ] => 3
+* // WORK[ 2 ] => 5
+*/
+function dormqr( side, trans, M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, C, strideC1, strideC2, offsetC, WORK, strideWORK, offsetWORK, LWORK ) {
+ if ( !isOperationSide( side ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid operation side. Value: `%s`.', side ) );
+ }
+ if ( !isMatrixTranspose( trans ) ) {
+ throw new TypeError( format( 'invalid argument. Second argument must be a valid transpose operation. Value: `%s`.', trans ) );
+ }
+ if ( M < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', M ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( K < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', K ) );
+ }
+ if ( side === 'left' ) {
+ if ( K > M ) {
+ throw new RangeError( format( 'invalid argument. Fifth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
+ }
+ if ( LWORK < max( 1, N ) && LWORK !== -1 ) {
+ throw new RangeError( format( 'invalid argument. Nineteenth argument must be greater than `max(1, N)` when `SIDE = \'L\'`. Value: `%d`.', LWORK ) );
+ }
+ }
+ if ( side === 'right' ) {
+ if ( K > N ) {
+ throw new RangeError( format( 'invalid argument. Fifth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
+ }
+ if ( LWORK < max( 1, M ) && LWORK !== -1 ) {
+ throw new RangeError( format( 'invalid argument. Nineteenth argument must be greater than `max(1, M)` when `SIDE = \'R\'`. Value: `%d`.', LWORK ) );
+ }
+ }
+
+ return base( side, trans, M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, C, strideC1, strideC2, offsetC, WORK, strideWORK, offsetWORK, LWORK );
+}
+
+
+// EXPORTS //
+
+module.exports = dormqr;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_columns.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_columns.js
new file mode 100644
index 000000000000..20f98fd01d52
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_columns.js
@@ -0,0 +1,158 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the right, with backward direction and column storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = rightBackwardColumns( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -402190.0, -419212.0, -5216.0, -752090.0, -782422.0, -9736.0, -1101990.0, -1145632.0, -14256.0 ]
+*/
+function rightBackwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ /* Let V = ( V1 )
+ * ( V2 ) (last K rows)
+ * Where V2 is unit upper triangular.
+ */
+
+ /* Form C * H or C * H^T where C = ( C1 C2 )
+ * W := C * V = (C1*V1 + C2*V2) (stored in WORK)
+ * W := C2
+ */
+ ic = offsetC + ( (N-K) * strideC2 );
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( M, C, strideC1, ic, work, strideWork1, iw );
+ ic += strideC2;
+ iw += strideWork2;
+ }
+ // W := W * V2
+ iv = offsetV + ( (N-K) * strideV1 );
+ dtrmm( 'right', 'upper', 'no-transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+ if ( N > K ) {
+ // W := W + C1 * V1
+ dgemm( 'no-transpose', 'no-transpose', M, K, N-K, 1.0, C, strideC1, strideC2, offsetC, V, strideV1, strideV2, offsetV, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T or W * T**T
+ dtrmm( 'right', 'upper', trans, 'non-unit', M, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - W * V**T
+ if ( N > K ) {
+ // C1 := C1 - W * V1**T
+ dgemm( 'no-transpose', 'transpose', M, N-K, K, -1.0, work, strideWork1, strideWork2, offsetWork, V, strideV1, strideV2, offsetV, 1.0, C, strideC1, strideC2, offsetC );
+ }
+ // W := W * V2**T
+ iv = offsetV + ( (N-K) * strideV1 );
+ dtrmm( 'right', 'upper', 'transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+
+ // C2 := C2 - W
+ o = loopOrder( [ K, M ], [ strideC1, strideC2 ], [ strideWork1, strideWork2 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC + ( (N-K) * strideC2 );
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = rightBackwardColumns;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_rows.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_rows.js
new file mode 100644
index 000000000000..e10b8b011af6
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_backward_rows.js
@@ -0,0 +1,157 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the right, with backward direction and row storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = rightBackwardRows( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -104950.0, -191792.0, -3176.0, -195250.0, -356002.0, -5896.0, -285550.0, -520212.0, -8616.0 ]
+*/
+function rightBackwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ /* Let V = ( V1 V2 ) (V2: last K columns)
+ * Where V2 is unit lower triangular.
+ */
+
+ /* Form C * H or C * H^T where C = ( C1 C2 )
+ * W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
+ * W := C2
+ */
+ ic = offsetC + ( (N-K) * strideC2 );
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( M, C, strideC1, ic, work, strideWork1, iw );
+ iw += strideWork2;
+ ic += strideC2;
+ }
+ // W := W * V2**T
+ iv = offsetV + ( (N-K) * strideV2 );
+ dtrmm( 'right', 'lower', 'transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+ if ( N > K ) {
+ // W := W + C1 * V1**T
+ dgemm( 'no-transpose', 'transpose', M, K, N-K, 1.0, C, strideC1, strideC2, offsetC, V, strideV1, strideV2, offsetV, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T or W * T**T
+ dtrmm( 'right', 'lower', trans, 'non-unit', M, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - W * V
+ if ( N > K ) {
+ // C1 := C1 - W * V1
+ dgemm( 'no-transpose', 'no-transpose', M, N-K, K, -1.0, work, strideWork1, strideWork2, offsetWork, V, strideV1, strideV2, offsetV, 1.0, C, strideC1, strideC2, offsetC );
+ }
+ // W := W * V2
+ iv = offsetV + ( (N-K) * strideV2 );
+ dtrmm( 'right', 'lower', 'no-transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, iv, work, strideWork1, strideWork2, offsetWork );
+
+ // C1 := C1 - W
+ o = loopOrder( [ K, M ], [ strideC1, strideC2 ], [ strideWork1, strideWork2 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC;
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = rightBackwardRows;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_columns.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_columns.js
new file mode 100644
index 000000000000..0c7574a3b7b9
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_columns.js
@@ -0,0 +1,160 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the right, with forward direction and column storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = rightForwardColumns( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -630.0, -14392.0, -114296.0, -1130.0, -25802.0, -202816.0, -1630.0, -37212.0, -291336.0 ]
+*/
+function rightForwardColumns( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ /* Let V = ( V1 ) (first K rows)
+ * ( V2 )
+ * Where V1 is unit lower triangular.
+ */
+
+ /* Form C * H or C * H^T where C = ( C1 C2 )
+ * W := C * V = (C1*V1 + C2*V2) (stored in WORK)
+ * W := C1
+ */
+ ic = offsetC;
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( M, C, strideC1, ic, work, strideWork1, iw );
+ ic += strideC2;
+ iw += strideWork2;
+ }
+ // W := W * V1
+ dtrmm( 'right', 'lower', 'no-transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+ if ( N > K ) {
+ // W := W + C2 * V2
+ ic = offsetC + ( K * strideC2 );
+ iv = offsetV + ( K * strideV1 );
+ dgemm( 'no-transpose', 'no-transpose', M, K, N-K, 1.0, C, strideC1, strideC2, ic, V, strideV1, strideV2, iv, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T or W * T**T
+ dtrmm( 'right', 'upper', trans, 'non-unit', M, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - W * V**T
+ if ( N > K ) {
+ // C2 := C2 - W * V2**T
+ ic = offsetC + ( K * strideC2 );
+ iv = offsetV + ( K * strideV1 );
+ dgemm( 'no-transpose', 'transpose', M, N-K, K, -1.0, work, strideWork1, strideWork2, offsetWork, V, strideV1, strideV2, iv, 1.0, C, strideC1, strideC2, ic );
+ }
+ // W := W * V1**T
+ dtrmm( 'right', 'lower', 'transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+
+ // C1 := C1 - W
+ o = loopOrder( [ K, M ], [ strideC2, strideC1 ], [ strideWork2, strideWork1 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC;
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = rightForwardColumns;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_rows.js b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_rows.js
new file mode 100644
index 000000000000..830e208c4700
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/lib/right_forward_rows.js
@@ -0,0 +1,159 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var dgemm = require( '@stdlib/blas/base/dgemm' ).ndarray;
+var dcopy = require( '@stdlib/blas/base/dcopy' ).ndarray;
+var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
+var dtrmm = require( './dtrmm.js' );
+
+
+// MAIN //
+
+/**
+* Applies a real block reflector H or its transpose H^T to a real M by N matrix C from the right, with forward direction and row storage.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of the matrix C
+* @param {NonNegativeInteger} N - number of columns of the matrix C
+* @param {NonNegativeInteger} K - order of the matrix T
+* @param {Float64Array} V - input matrix
+* @param {integer} strideV1 - stride of the first dimension of V
+* @param {integer} strideV2 - stride of the second dimension of V
+* @param {integer} offsetV - index offset for V
+* @param {Float64Array} T - input matrix
+* @param {integer} strideT1 - stride of the first dimension of T
+* @param {integer} strideT2 - stride of the second dimension of T
+* @param {integer} offsetT - index offset for T
+* @param {Float64Array} C - input matrix
+* @param {integer} strideC1 - stride of the first dimension of C
+* @param {integer} strideC2 - stride of the second dimension of C
+* @param {integer} offsetC - index offset for C
+* @param {Float64Array} work - work array
+* @param {integer} strideWork1 - stride of the first dimension of work
+* @param {integer} strideWork2 - stride of the second dimension of work
+* @param {integer} offsetWork - index offset for work
+* @param {string} trans - specifies whether to apply H or H^T
+* @returns {Float64Array} updated matrix C
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
+* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
+* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
+* var work = new Float64Array( 9 );
+*
+* var result = rightForwardRows( 3, 3, 3, V, 3, 1, 0, T, 3, 1, 0, C, 3, 1, 0, work, 3, 1, 0, 'no-transpose' );
+* // returns [ -1390.0, -58132.0, -266416.0, -2490.0, -104142.0, -473736.0, -3590.0, -150152.0, -681056.0 ]
+*/
+function rightForwardRows( M, N, K, V, strideV1, strideV2, offsetV, T, strideT1, strideT2, offsetT, C, strideC1, strideC2, offsetC, work, strideWork1, strideWork2, offsetWork, trans ) { // eslint-disable-line max-params, max-len
+ var da0;
+ var da1;
+ var db0;
+ var db1;
+ var i0;
+ var i1;
+ var sh;
+ var sa;
+ var sb;
+ var S0;
+ var S1;
+ var ia;
+ var ib;
+ var ic;
+ var iv;
+ var iw;
+ var j;
+ var o;
+
+ /* Let V = ( V1 V2 ) (V1: first K columns)
+ * Where V1 is unit upper triangular.
+ */
+
+ /* Form C * H or C * H^T where C = ( C1 C2 )
+ * W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
+ * W := C1
+ */
+ ic = offsetC;
+ iw = offsetWork;
+ for ( j = 0; j < K; j++ ) {
+ dcopy( M, C, strideC1, ic, work, strideWork1, iw );
+ ic += strideC2;
+ iw += strideWork2;
+ }
+ // W := W * V1**T
+ dtrmm( 'right', 'upper', 'transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+ if ( N > K ) {
+ // W := W + C2 * V2**T
+ ic = offsetC + ( K * strideC2 );
+ iv = offsetV + ( K * strideV2 );
+ dgemm( 'no-transpose', 'transpose', M, K, N-K, 1.0, C, strideC1, strideC2, ic, V, strideV1, strideV2, iv, 1.0, work, strideWork1, strideWork2, offsetWork );
+ }
+ // W := W * T or W * T**T
+ dtrmm( 'right', 'upper', trans, 'non-unit', M, K, 1.0, T, strideT1, strideT2, offsetT, work, strideWork1, strideWork2, offsetWork );
+
+ // C := C - W * V
+ if ( N > K ) {
+ // C2 := C2 - W * V2
+ ic = offsetC + ( K * strideC2 );
+ iv = offsetV + ( K * strideV2 );
+ dgemm( 'no-transpose', 'no-transpose', M, N-K, K, -1.0, work, strideWork1, strideWork2, offsetWork, V, strideV1, strideV2, iv, 1.0, C, strideC1, strideC2, ic );
+ }
+ // W := W * V1
+ dtrmm( 'right', 'upper', 'no-transpose', 'unit', M, K, 1.0, V, strideV1, strideV2, offsetV, work, strideWork1, strideWork2, offsetWork );
+
+ // C1 := C1 - W
+ o = loopOrder( [ K, M ], [ strideC1, strideC2 ], [ strideWork1, strideWork2 ] ); // eslint-disable-line max-len
+ sh = o.sh;
+ sa = o.sx;
+ sb = o.sy;
+
+ // Extract loop variables for loop interchange
+ S0 = sh[ 0 ];
+ S1 = sh[ 1 ];
+ da0 = sa[ 0 ];
+ da1 = sa[ 1 ] - ( S0 * sa[ 0 ] );
+ db0 = sb[ 0 ];
+ db1 = sb[ 1 ] - ( S0 * sb[ 0 ] );
+
+ // Set pointers to first indexed elements
+ ia = offsetC;
+ ib = offsetWork;
+
+ // Iterate over matrix dimensions with optimized loop order
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ C[ ia ] -= work[ ib ];
+ ia += da0;
+ ib += db0;
+ }
+ ia += da1;
+ ib += db1;
+ }
+
+ return C;
+}
+
+
+// EXPORTS //
+
+module.exports = rightForwardRows;
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/package.json b/lib/node_modules/@stdlib/lapack/base/dormqr/package.json
new file mode 100644
index 000000000000..338716638f27
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/lapack/base/dormqr",
+ "version": "0.0.0",
+ "description": "LAPACK routine to apply an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "lib": "./lib",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "lapack",
+ "dormqr",
+ "reflector",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "matrix",
+ "float64",
+ "double",
+ "float64array"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_no_transpose.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_no_transpose.json
new file mode 100644
index 000000000000..929580aed1a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_no_transpose.json
@@ -0,0 +1,235 @@
+{
+ "order": "row-major",
+ "side": "left",
+ "trans": "no-transpose",
+ "M": 33,
+ "N": 2,
+ "K": 33,
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+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_transpose.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_transpose.json
new file mode 100644
index 000000000000..144fb223540a
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_left_transpose.json
@@ -0,0 +1,235 @@
+{
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+ "info": 0
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_no_transpose.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_no_transpose.json
new file mode 100644
index 000000000000..8285e89115be
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_no_transpose.json
@@ -0,0 +1,111 @@
+{
+ "order": "row-major",
+ "side": "right",
+ "trans": "no-transpose",
+ "M": 2,
+ "N": 33,
+ "K": 33,
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+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_transpose.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_transpose.json
new file mode 100644
index 000000000000..32c52503b250
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/blocked_right_transpose.json
@@ -0,0 +1,111 @@
+{
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+ "info": 0
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_left.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_left.json
new file mode 100644
index 000000000000..2b40e0b88cae
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_left.json
@@ -0,0 +1,44 @@
+{
+ "order": "row-major",
+ "side": "left",
+ "trans": "no-transpose",
+ "M": 2,
+ "N": 3,
+ "K": 1,
+ "A": [ 1, 0, 0 ],
+ "strideA1": 2,
+ "strideA2": 1,
+ "offsetA": 0,
+ "LDA": 2,
+ "A_mat": [
+ [ 1, 0, 0 ]
+ ],
+ "TAU": [ 2 ],
+ "strideTAU": 1,
+ "offsetTAU": 0,
+ "C": [
+ 1, 3, 5,
+ 2, 4, 6
+ ],
+ "strideC1": 3,
+ "strideC2": 1,
+ "offsetC": 0,
+ "LDC": 3,
+ "C_mat": [
+ [ 1, 3, 5 ],
+ [ 2, 4, 6 ]
+ ],
+ "WORK": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
+ "strideWORK": 1,
+ "offsetWORK": 0,
+ "C_out": [
+ -1, -3, -5,
+ 2, 4, 6
+ ],
+ "C_out_mat": [
+ [ -1, -3, -5 ],
+ [ 2, 4, 6 ]
+ ],
+ "WORK_out": [ 4256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
+ "info": 0
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_right.json b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_right.json
new file mode 100644
index 000000000000..5e4ba06c9d25
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/fixtures/unblocked_right.json
@@ -0,0 +1,44 @@
+{
+ "order": "row-major",
+ "side": "right",
+ "trans": "no-transpose",
+ "M": 2,
+ "N": 3,
+ "K": 1,
+ "A": [ 1, 0, 0 ],
+ "strideA1": 3,
+ "strideA2": 1,
+ "offsetA": 0,
+ "LDA": 1,
+ "A_mat": [
+ [ 1, 0, 0 ]
+ ],
+ "TAU": [ 2 ],
+ "strideTAU": 1,
+ "offsetTAU": 0,
+ "C": [
+ 1, 3, 5,
+ 2, 4, 6
+ ],
+ "strideC1": 3,
+ "strideC2": 1,
+ "offsetC": 0,
+ "LDC": 3,
+ "C_mat": [
+ [ 1, 3, 5 ],
+ [ 2, 4, 6 ]
+ ],
+ "WORK": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
+ "strideWORK": 1,
+ "offsetWORK": 0,
+ "C_out": [
+ -1, 3, 5,
+ -2, 4, 6
+ ],
+ "C_out_mat": [
+ [ -1, 3, 5 ],
+ [ -2, 4, 6 ]
+ ],
+ "WORK_out": [ 4224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
+ "info": 0
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.dormqr.js b/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.dormqr.js
new file mode 100644
index 000000000000..8f9868bff4e2
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.dormqr.js
@@ -0,0 +1,795 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostEqual = require( '@stdlib/assert/is-almost-equal-float64array' );
+var isAlmostEqualScalar = require( '@stdlib/number/float64/base/assert/is-almost-equal' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var dormqr = require( './../lib/dormqr.js' );
+
+
+// FIXTURES //
+
+var UNBLOCKED_LEFT = require( './fixtures/unblocked_left.json' );
+var UNBLOCKED_RIGHT = require( './fixtures/unblocked_right.json' );
+var BLOCKED_LEFT_NO_TRANSPOSE = require( './fixtures/blocked_left_no_transpose.json' );
+var BLOCKED_LEFT_TRANSPOSE = require( './fixtures/blocked_left_transpose.json' );
+var BLOCKED_RIGHT_NO_TRANSPOSE = require( './fixtures/blocked_right_no_transpose.json' );
+var BLOCKED_RIGHT_TRANSPOSE = require( './fixtures/blocked_right_transpose.json' );
+
+
+// VARIABLES //
+
+var TOL = 1e-12;
+
+
+// FUNCTIONS //
+
+/**
+* Tests whether two Float64Arrays are approximately equal. Elements where `|expected[i]| <= EPS` are skipped. Remaining elements are compared using ULP-based approximate equality.
+*
+* @private
+* @param {Float64Array} actual - computed output array
+* @param {Float64Array} expected - expected output array
+* @param {NonNegativeInteger} maxULP - maximum allowed ULP difference
+* @returns {boolean} true if approximately equal
+*/
+function arraysAlmostEqual( actual, expected, maxULP ) {
+ var i;
+
+ for ( i = 0; i < expected.length; i++ ) {
+ if ( abs( expected[ i ] ) <= TOL ) {
+ continue;
+ }
+ if ( !isAlmostEqualScalar( actual[ i ], expected[ i ], maxULP ) ) {
+ return false;
+ }
+ }
+ return true;
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dormqr, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 13', function test( t ) {
+ t.strictEqual( dormqr.length, 13, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided a first argument which is not a valid order', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( value, 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a second argument which is not a valid operation side', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', value, 'no-transpose', 2, 3, 1, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a third argument which is not a valid transpose operation', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', value, 2, 3, 1, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a fourth argument which is smaller than 0', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ -1,
+ -2,
+ -3
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', 'no-transpose', value, 3, 1, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a fifth argument which is smaller than 0', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ -1,
+ -2,
+ -3
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', 'no-transpose', 2, value, 1, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a sixth argument which is smaller than 0', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ -1,
+ -2,
+ -3
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, value, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a sixth argument which is larger than the order of `Q` (left)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 3,
+ 4,
+ 5
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, value, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided a sixth argument which is larger than the order of `Q` (right)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 4,
+ 5,
+ 6
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'right', 'no-transpose', 2, 3, value, A, 2, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an eighth argument which is not a valid LDA value (column-major, left)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 0,
+ -1,
+ -2
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'column-major', 'left', 'no-transpose', 2, 3, 1, A, value, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an eighth argument which is not a valid LDA value (column-major, right)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 2,
+ 1,
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'column-major', 'right', 'no-transpose', 2, 3, 1, A, value, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an eighth argument which is not a valid LDA value (row-major)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 0,
+ -1,
+ -2
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'right', 'no-transpose', 2, 3, 1, A, value, TAU, C, 2, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an eleventh argument which is not a valid LDC value (column-major)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 1,
+ 0,
+ -1
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'column-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, value, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an eleventh argument which is not a valid LDC value (row-major)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 2,
+ 1,
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, value, WORK, 64 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an thirteenth argument which is not a valid LWORK value (left)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 2,
+ 1,
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'column-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 2, WORK, value );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an thirteenth argument which is not a valid LWORK value (right)', function test( t ) {
+ var values;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+ var i;
+
+ A = new Float64Array( [ 1, 0 ] );
+ TAU = new Float64Array( [ 2 ] );
+ C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
+ WORK = new Float64Array( 64 );
+
+ values = [
+ 1,
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dormqr( 'column-major', 'right', 'no-transpose', 2, 3, 1, A, 3, TAU, C, 2, WORK, value );
+ };
+ }
+});
+
+tape( 'the function quick returns when `LWORK` is equal to -1', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = UNBLOCKED_LEFT;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C );
+ expectedWORK = new Float64Array( data.WORK );
+ expectedWORK[ 0 ] = 4256;
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, -1 );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( C, expectedC, 1 ), true, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( WORK, expectedWORK, 1 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function quick returns when `M`, `N` or `K` is equal to 0', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = UNBLOCKED_LEFT;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C );
+ expectedWORK = new Float64Array( data.WORK );
+ expectedWORK[ 0 ] = 1;
+
+ info = dormqr( data.order, data.side, data.trans, 0, 0, 0, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( C, expectedC, 1 ), true, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( WORK, expectedWORK, 1 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (left, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = UNBLOCKED_LEFT;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( C, expectedC, 1 ), true, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( WORK, expectedWORK, 1 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (right, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = UNBLOCKED_RIGHT;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( C, expectedC, 1 ), true, 'returns expected value' );
+ t.strictEqual( isAlmostEqual( WORK, expectedWORK, 1 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (left, blocked, no-transpose, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = BLOCKED_LEFT_NO_TRANSPOSE;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( C, expectedC, 81 ), true, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( WORK, expectedWORK, 81 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (left, blocked, transpose, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = BLOCKED_LEFT_TRANSPOSE;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( C, expectedC, 2432 ), true, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( WORK, expectedWORK, 2432 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (right, blocked, no-transpose, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = BLOCKED_RIGHT_NO_TRANSPOSE;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( C, expectedC, 2432 ), true, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( WORK, expectedWORK, 2432 ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function multiplies a general matrix by the orthogonal matrix from a QR factorization (right, blocked, transpose, row-major)', function test( t ) {
+ var expectedWORK;
+ var expectedC;
+ var info;
+ var data;
+ var WORK;
+ var TAU;
+ var A;
+ var C;
+
+ data = BLOCKED_RIGHT_TRANSPOSE;
+
+ A = new Float64Array( data.A );
+ TAU = new Float64Array( data.TAU );
+ C = new Float64Array( data.C );
+ WORK = new Float64Array( data.WORK );
+
+ expectedC = new Float64Array( data.C_out );
+ expectedWORK = new Float64Array( data.WORK_out );
+
+ info = dormqr( data.order, data.side, data.trans, data.M, data.N, data.K, A, data.LDA, TAU, C, data.LDC, WORK, data.LWORK );
+ t.strictEqual( info, 0, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( C, expectedC, 2432 ), true, 'returns expected value' );
+ t.strictEqual( arraysAlmostEqual( WORK, expectedWORK, 2432 ), true, 'returns expected value' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.js b/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.js
new file mode 100644
index 000000000000..5e25174a405d
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dormqr/test/test.js
@@ -0,0 +1,82 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var proxyquire = require( 'proxyquire' );
+var IS_BROWSER = require( '@stdlib/assert/is-browser' );
+var dormqr = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': IS_BROWSER
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dormqr, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'attached to the main export is a method providing an ndarray interface', function test( t ) {
+ t.strictEqual( typeof dormqr.ndarray, 'function', 'method is a function' );
+ t.end();
+});
+
+tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) {
+ var dormqr = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dormqr, mock, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return mock;
+ }
+
+ function mock() {
+ // Mock...
+ }
+});
+
+tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) {
+ var dormqr;
+ var main;
+
+ main = require( './../lib/dormqr.js' );
+
+ dormqr = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dormqr, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});