From b6f73469630860439749bfe869a6bf4d88a3bc02 Mon Sep 17 00:00:00 2001
From: Prajjwal Bajpai <prajjwal8166@gmail.com>
Date: Sun, 5 Jul 2026 22:06:43 +0530
Subject: [PATCH 1/2] feat: add `lapack/base/dgebrd`

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---
 .../@stdlib/lapack/base/dgebrd/README.md      |   445 +
 .../lapack/base/dgebrd/benchmark/benchmark.js |   127 +
 .../dgebrd/benchmark/benchmark.ndarray.js     |   138 +
 .../lapack/base/dgebrd/docs/types/index.d.ts  |   226 +
 .../lapack/base/dgebrd/docs/types/test.ts     |   732 +
 .../lapack/base/dgebrd/examples/index.js      |    54 +
 .../@stdlib/lapack/base/dgebrd/lib/base.js    |   200 +
 .../@stdlib/lapack/base/dgebrd/lib/dgebd2.js  |   189 +
 .../@stdlib/lapack/base/dgebrd/lib/dgebrd.js  |   118 +
 .../@stdlib/lapack/base/dgebrd/lib/dlabrd.js  |   247 +
 .../@stdlib/lapack/base/dgebrd/lib/dlarfg.js  |   142 +
 .../@stdlib/lapack/base/dgebrd/lib/index.js   |    69 +
 .../@stdlib/lapack/base/dgebrd/lib/main.js    |    35 +
 .../@stdlib/lapack/base/dgebrd/lib/ndarray.js |   107 +
 .../@stdlib/lapack/base/dgebrd/package.json   |    69 +
 .../dgebrd/test/fixtures/blocked_col_maj.json | 68151 +++++++++++++++
 .../dgebrd/test/fixtures/blocked_row_maj.json | 68151 +++++++++++++++
 .../base/dgebrd/test/fixtures/col_maj.json    |    60 +
 .../insuff_lwork_blocked_col_maj.json         | 68151 +++++++++++++++
 .../insuff_lwork_blocked_row_maj.json         | 68151 +++++++++++++++
 .../test/fixtures/m_lt_n_blocked_col_maj.json | 68667 ++++++++++++++++
 .../test/fixtures/m_lt_n_blocked_row_maj.json | 68667 ++++++++++++++++
 .../test/fixtures/nb1_blocked_col_maj.json    | 68151 +++++++++++++++
 .../test/fixtures/nb1_blocked_row_maj.json    | 68151 +++++++++++++++
 .../base/dgebrd/test/fixtures/row_maj.json    |    67 +
 .../lapack/base/dgebrd/test/test.dgebrd.js    |   543 +
 .../@stdlib/lapack/base/dgebrd/test/test.js   |    82 +
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 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/README.md
 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.js
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 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/lib/ndarray.js
 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/package.json
 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_col_maj.json
 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_row_maj.json
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/README.md b/lib/node_modules/@stdlib/lapack/base/dgebrd/README.md
new file mode 100644
index 000000000000..3411fea77b77
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/README.md
@@ -0,0 +1,445 @@
+<!--
+
+@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.
+
+-->
+
+# dgebrd
+
+> Reduce a general real `M`-by-`N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+
+<section class="intro">
+
+The `dgebrd` routine reduces a general real `M`-by-`N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation:
+
+<!-- <equation class="equation" label="eq:bidiagonal_reduction" align="center" raw="B = Q^{T} A P" alt="Equation for bidiagonal reduction."> -->
+
+```math
+B = Q^{T} \, A \, P
+```
+
+<!-- </equation> -->
+
+where `Q` and `P` are orthogonal matrices.
+
+The matrices `Q` and `P` are represented as products of elementary reflectors:
+
+<!-- <equation class="equation" label="eq:elementary_reflectors_q" align="center" raw="Q = H(1) H(2) \ldots H(n) \quad \text{and} \quad P = G(1) G(2) \ldots G(n-1)" alt="Products of elementary reflectors for Q and P."> -->
+
+If `m >= n`,
+
+```math
+Q = H(1) H(2) \ldots H(n) \quad \text{and} \quad P = G(1) G(2) \ldots G(n-1)
+```
+
+<!-- </equation> -->
+
+Each `H(i)` and `G(i)` has the form:
+
+```math
+H(i) = I - \tau_{q}^{i} v v^{T} \quad \text{and} \quad G(i) = I - \tau_{p}^{i} u u^{T}
+```
+
+where `tauq_i` and `taup_i` are real scalars, and `v` and `u` are real vectors;
+`v(1:i-1) = 0`, `v(i) = 1`, and `v(i+1:m)` is stored on exit in `A(i+1:m,i)`;
+`u(1:i) = 0`, `u(i+1) = 1`, and `u(i+2:n)` is stored on exit in `A(i,i+2:n)`;
+`tauq_i` is stored in `TAUQ(i)` and `taup_i` in `TAUP(i)`.
+
+If `m < n`,
+
+<!-- <equation class="equation" label="eq:elementary_reflectors_q_m_lt_n" align="center" raw="Q = H(1) H(2) \ldots H(m-1) \quad \text{and} \quad P = G(1) G(2) \ldots G(m)" alt="Products of elementary reflectors for Q and P when m < n."> -->
+
+```math
+Q = H(1) H(2) \ldots H(m-1) \quad \text{and} \quad P = G(1) G(2) \ldots G(m)
+```
+
+<!-- </equation> -->
+
+Each `H(i)` and `G(i)` has the form:
+
+```math
+H(i) = I - \tau_{q}^{i} v v^{T} \quad \text{and} \quad G(i) = I - \tau_{p}^{i} u u^{T}
+```
+
+where `tauq_i` and `taup_i` are real scalars, and `v` and `u` are real vectors;
+`v(1:i) = 0`, `v(i+1) = 1`, and `v(i+2:m)` is stored on exit in `A(i+2:m,i)`;
+`u(1:i-1) = 0`, `u(i) = 1`, and `u(i+1:n)` is stored on exit in `A(i,i+1:n)`;
+`tauq_i` is stored in `TAUQ(i)` and `taup_i` in `TAUP(i)`.
+
+The contents of `A` on exit are illustrated by the following examples:
+
+`m = 6` and `n = 5` (`m > n`):
+
+<!-- <equation class="equation" label="eq:bidiagonal_form_m_gt_n" align="center" raw="A = \left[\begin{array}{rrrrr}d_1     & e_1     & u_{1,3} & u_{1,4} & u_{1,5} \\v_{2,1} & d_2     & e_2     & u_{2,4} & u_{2,5} \\v_{3,1} & v_{3,2} & d_3     & e_3     & u_{3,5} \\v_{4,1} & v_{4,2} & v_{4,3} & d_4     & e_4     \\v_{5,1} & v_{5,2} & v_{5,3} & v_{5,4} & d_5     \\v_{6,1} & v_{6,2} & v_{6,3} & v_{6,4} & v_{6,5}\end{array}\right]" alt="Contents of A after reduction when m > n."> -->
+
+```math
+A = \left[
+\begin{array}{rrrrr}
+    d_1     & e_1     & u_{1,3} & u_{1,4} & u_{1,5} \\
+    v_{2,1} & d_2     & e_2     & u_{2,4} & u_{2,5} \\
+    v_{3,1} & v_{3,2} & d_3     & e_3     & u_{3,5} \\
+    v_{4,1} & v_{4,2} & v_{4,3} & d_4     & e_4     \\
+    v_{5,1} & v_{5,2} & v_{5,3} & v_{5,4} & d_5     \\
+    v_{6,1} & v_{6,2} & v_{6,3} & v_{6,4} & v_{6,5}
+    \end{array}
+\right]
+```
+
+<!-- </equation> -->
+
+`m = 5` and `n = 6` (`m < n`):
+
+<!-- <equation class="equation" label="eq:bidiagonal_form_m_lt_n" align="center" raw="A = \left[\begin{array}{rrrrrr}d_1     & u_{1,2} & u_{1,3} & u_{1,4} & u_{1,5} & u_{1,6} \\e_1     & d_2     & u_{2,3} & u_{2,4} & u_{2,5} & u_{2,6} \\v_{3,1} & e_2     & d_3     & u_{3,4} & u_{3,5} & u_{3,6} \\v_{4,1} & v_{4,2} & e_3     & d_4     & u_{4,5} & u_{4,6} \\v_{5,1} & v_{5,2} & v_{5,3} & e_4     & d_5     & u_{5,6}\end{array}\right]" alt="Contents of A after reduction when m < n."> -->
+
+```math
+A = \left[
+    \begin{array}{rrrrrr}
+    d_1     & u_{1,2} & u_{1,3} & u_{1,4} & u_{1,5} & u_{1,6} \\
+    e_1     & d_2     & u_{2,3} & u_{2,4} & u_{2,5} & u_{2,6} \\
+    v_{3,1} & e_2     & d_3     & u_{3,4} & u_{3,5} & u_{3,6} \\
+    v_{4,1} & v_{4,2} & e_3     & d_4     & u_{4,5} & u_{4,6} \\
+    v_{5,1} & v_{5,2} & v_{5,3} & e_4     & d_5     & u_{5,6}
+    \end{array}
+\right]
+```
+
+<!-- </equation> -->
+
+where `d` and `e` denote diagonal and off-diagonal elements of `B`, `v_i` denotes an element of the vector defining `H(i)`, and `u_i` an element of the vector defining `G(i)`.
+
+If `m >= n`, `E(i) = A(i,i+1)` for `i = 1,2,...,n-1`; if `m < n`, `E(i) = A(i+1,i)` for `i = 1,2,...,m-1`.
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var dgebrd = require( '@stdlib/lapack/base/dgebrd' );
+```
+
+#### dgebrd( order, M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK )
+
+Reduces a general real `M`-by-`N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+var D = new Float64Array( [ 0.0, 0.0 ] );
+var E = new Float64Array( [ 0.0 ] );
+var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+var WORK = new Float64Array( 100 );
+
+dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+// A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+// D => <Float64Array>[ ~-4.822, ~-10.78 ]
+// E => <Float64Array>[ ~-3.007 ]
+// TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+// TAUP => <Float64Array>[ 0.0, 0.0 ]
+// WORK[ 0 ] => 3.0
+```
+
+The function has the following parameters:
+
+-   **order**: storage layout. Must be either `'row-major'` or `'column-major'`.
+-   **M**: number of rows in `A`.
+-   **N**: number of columns in `A`.
+-   **A**: input matrix as a [`Float64Array`][@stdlib/array/float64]. `A` is overwritten by the elements of the bidiagonal matrix `B` and the Householder reflectors.
+-   **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+-   **D**: the diagonal elements of the bidiagonal matrix `B` as a [`Float64Array`][@stdlib/array/float64]. Should have `min(M,N)` indexed elements.
+-   **E**: the off-diagonal elements of the bidiagonal matrix `B` as a [`Float64Array`][@stdlib/array/float64]. Should have `min(M,N)-1` indexed elements.
+-   **TAUQ**: the scalar factors of the elementary reflectors that represent the orthogonal matrix `Q` as a [`Float64Array`][@stdlib/array/float64]. Should have `min(M,N)` indexed elements.
+-   **TAUP**: the scalar factors of the elementary reflectors that represent the orthogonal matrix `P` as a [`Float64Array`][@stdlib/array/float64]. Should have `min(M,N)` indexed elements.
+-   **WORK**: workspace array as a [`Float64Array`][@stdlib/array/float64].
+-   **LWORK**: length of `WORK`.
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+<!-- eslint-disable stdlib/capitalized-comments -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+// Initial arrays...
+var A0 = new Float64Array( [ 0.0, 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+var D0 = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var E0 = new Float64Array( [ 0.0, 0.0 ] );
+var TAUQ0 = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var TAUP0 = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var WORK0 = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+
+// Create offset views...
+var A = new Float64Array( A0.buffer, A0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var D = new Float64Array( D0.buffer, D0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var E = new Float64Array( E0.buffer, E0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var TAUQ = new Float64Array( TAUQ0.buffer, TAUQ0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var TAUP = new Float64Array( TAUP0.buffer, TAUP0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var WORK = new Float64Array( WORK0.buffer, WORK0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+// A0 => <Float64Array>[ 0.0, ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+// 0 => <Float64Array>[ 0.0, ~-4.822, ~-10.78 ]
+// E0 => <Float64Array>[ 0.0, ~-3.007 ]
+// TAUQ0 => <Float64Array>[ 0.0, ~1.83, ~1.894 ]
+// TAUP0 => <Float64Array>[ 0.0, 0.0, 0.0 ]
+// WORK0[ 1 ] => 3.0
+```
+
+<!-- lint disable maximum-heading-length -->
+
+#### dgebrd.ndarray( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK, LWORK )
+
+Reduces a general real `M`-by-`N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B` using alternative indexing semantics.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+var D = new Float64Array( [ 0.0, 0.0 ] );
+var E = new Float64Array( [ 0.0 ] );
+var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+var WORK = new Float64Array( 100 );
+
+dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 );
+// A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+// D => <Float64Array>[ ~-4.822, ~-10.78 ]
+// E => <Float64Array>[ ~-3.007 ]
+// TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+// TAUP => <Float64Array>[ 0.0, 0.0 ]
+// WORK[ 0 ] => 3.0
+```
+
+The function has the following additional parameters:
+
+-   **M**: number of rows in `A`.
+-   **N**: number of columns in `A`.
+-   **A**: input matrix as a [`Float64Array`][@stdlib/array/float64].
+-   **strideA1**: stride of the first dimension of `A`.
+-   **strideA2**: stride of the second dimension of `A`.
+-   **offsetA**: starting index for `A`.
+-   **D**: the diagonal elements of the bidiagonal matrix `B` as a [`Float64Array`][@stdlib/array/float64].
+-   **strideD**: stride length for `D`.
+-   **offsetD**: starting index for `D`.
+-   **E**: the off-diagonal elements of the bidiagonal matrix `B` as a [`Float64Array`][@stdlib/array/float64].
+-   **strideE**: stride length for `E`.
+-   **offsetE**: starting index for `E`.
+-   **TAUQ**: the scalar factors of the elementary reflectors that represent the orthogonal matrix `Q` as a [`Float64Array`][@stdlib/array/float64].
+-   **strideTAUQ**: stride length for `TAUQ`.
+-   **offsetTAUQ**: starting index for `TAUQ`.
+-   **TAUP**: the scalar factors of the elementary reflectors that represent the orthogonal matrix `P` as a [`Float64Array`][@stdlib/array/float64].
+-   **strideTAUP**: stride length for `TAUP`.
+-   **offsetTAUP**: starting index for `TAUP`.
+-   **WORK**: workspace array as a [`Float64Array`][@stdlib/array/float64].
+-   **strideWORK**: stride length for `WORK`.
+-   **offsetWORK**: starting index for `WORK`.
+-   **LWORK**: length of `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,
+
+<!-- eslint-disable max-len -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+var D = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var E = new Float64Array( [ 0.0, 0.0 ] );
+var TAUQ = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var TAUP = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+var WORK = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+
+dgebrd.ndarray( 3, 2, A, 1, 3, 4, D, 1, 1, E, 1, 1, TAUQ, 1, 1, TAUP, 1, 1, WORK, 1, 0, 2 );
+// A => <Float64Array>[ 0.0, 0.0, 0.0, 0.0, ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+// D => <Float64Array>[ 0.0, ~-4.822, ~-10.78 ]
+// E => <Float64Array>[ 0.0, ~-3.007 ]
+// TAUQ => <Float64Array>[ 0.0, ~1.83, ~1.894 ]
+// TAUP => <Float64Array>[ 0.0, 0.0, 0.0 ]
+// WORK[ 1 ] => 3.0
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   Both functions mutate the input arrays `A`, `D`, `E`, `TAUQ`, `TAUP`, and `WORK`.
+
+-   Both functions return a status code indicating success or failure. The status code indicates the following conditions:
+
+    -   `0`: reduction was successful.
+    -   `<0`: the value of the `-statusCode`th argument had an illegal value.
+
+-   `LWORK >= 1`, if `min(M,N) = 0`, and `LWORK >= max(M,N)`, otherwise. For optimum performance `LWORK >= (M+N)*NB`, where `NB` is the optimal blocksize.
+
+-   If `LWORK = -1`, a workspace query is assumed; the routine only calculates the optimal size of the `WORK` array, returns this value as the first entry of the `WORK` array, and no error message related to `LWORK` is issued.
+
+-   If `m >= n`, `E(i) = A(i,i+1)` for `i = 1,2,...,n-1`; if `m < n`, `E(i) = A(i+1,i)` for `i = 1,2,...,m-1`.
+
+-   `dgebrd()` corresponds to the [LAPACK][LAPACK] routine [`dgebrd`][lapack-dgebrd].
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var dgebrd = require( '@stdlib/lapack/base/dgebrd' );
+
+var M = 4;
+var N = 3;
+var LDA = M;
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
+
+/*
+    A = [
+        [ 1.0,  5.0,  9.0 ],
+        [ 2.0,  6.0, 10.0 ],
+        [ 3.0,  7.0, 11.0 ],
+        [ 4.0,  8.0, 12.0 ]
+    ]
+*/
+
+var D = new Float64Array( Math.min( M, N ) );
+var E = new Float64Array( Math.min( M, N ) - 1 );
+var TAUQ = new Float64Array( Math.min( M, N ) );
+var TAUP = new Float64Array( Math.min( M, N ) );
+var WORK = new Float64Array( 200 );
+
+// Reduce `A` to bidiagonal form `B`:
+var info = dgebrd( 'column-major', M, N, A, LDA, D, E, TAUQ, TAUP, WORK, 200 );
+
+console.log( D );
+console.log( E );
+console.log( TAUQ );
+console.log( TAUP );
+console.log( A );
+console.log( info );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+TODO
+```
+
+#### TODO
+
+TODO.
+
+```c
+TODO
+```
+
+TODO
+
+```c
+TODO
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+TODO
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[lapack]: https://www.netlib.org/lapack/explore-html/
+
+[lapack-dgebrd]: https://www.netlib.org/lapack/explore-html/dc/d1c/group__gebrd_ga1314f3a906c316785fe32996698901a8.html
+
+[@stdlib/array/float64]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.js
new file mode 100644
index 000000000000..f68747d5794b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.js
@@ -0,0 +1,127 @@
+/**
+* @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 max = require( '@stdlib/math/base/special/max' );
+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 dgebrd = require( './../lib/dgebrd.js' );
+
+
+// VARIABLES //
+
+var LAYOUTS = [
+	'row-major',
+	'column-major'
+];
+var opts = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {string} order - storage layout
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( order, N ) {
+	var TAUQ;
+	var TAUP;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	A = discreteUniform( N*N, 1.0, 10.0, opts );
+	D = new Float64Array( N );
+	E = new Float64Array( max( 0, N - 1 ) );
+	TAUQ = new Float64Array( N );
+	TAUP = new Float64Array( N );
+	WORK = new Float64Array( N );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+		var z;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = dgebrd( order, N, N, A, N, D, E, TAUQ, TAUP, WORK, N );
+			if ( z !== 0 ) {
+				b.fail( 'should return a success status code' );
+			}
+		}
+		b.toc();
+		if ( z !== 0 ) {
+			b.fail( 'should return a success status code' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var minPow;
+	var maxPow;
+	var order;
+	var N;
+	var f;
+	var i;
+	var j;
+
+	minPow = 1; // 10^minPow
+	maxPow = 6; // 10^maxPow
+
+	for ( j = 0; j < LAYOUTS.length; j++ ) {
+		order = LAYOUTS[ j ];
+		for ( i = minPow; i <= maxPow; i++ ) {
+			N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+			f = createBenchmark( order, N );
+			bench( format( '%s::square_matrix:order=%s,size=%d', pkg, order, N*N ), f );
+		}
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..a9d8b5a80d85
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/benchmark/benchmark.ndarray.js
@@ -0,0 +1,138 @@
+/**
+* @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 max = require( '@stdlib/math/base/special/max' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var dgebrd = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var LAYOUTS = [
+	'row-major',
+	'column-major'
+];
+var opts = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {string} order - storage layout
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( order, N ) {
+	var TAUQ;
+	var TAUP;
+	var WORK;
+	var sa1;
+	var sa2;
+	var A;
+	var D;
+	var E;
+
+	A = discreteUniform( N*N, 1.0, 10.0, opts );
+	D = new Float64Array( N );
+	E = new Float64Array( max( 0, N - 1 ) );
+	TAUQ = new Float64Array( N );
+	TAUP = new Float64Array( N );
+	WORK = new Float64Array( N );
+
+	if ( isColumnMajor( order ) ) {
+		sa1 = 1;
+		sa2 = N;
+	} else {
+		sa1 = N;
+		sa2 = 1;
+	}
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+		var z;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = dgebrd( N, N, A, sa1, sa2, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, N );
+			if ( z !== 0 ) {
+				b.fail( 'should return a success status code' );
+			}
+		}
+		b.toc();
+		if ( z !== 0 ) {
+			b.fail( 'should return a success status code' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var minPow;
+	var maxPow;
+	var order;
+	var N;
+	var f;
+	var i;
+	var j;
+
+	minPow = 1; // 10^minPow
+	maxPow = 6; // 10^maxPow
+
+	for ( j = 0; j < LAYOUTS.length; j++ ) {
+		order = LAYOUTS[ j ];
+		for ( i = minPow; i <= maxPow; i++ ) {
+			N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+			f = createBenchmark( order, N );
+			bench( format( '%s:ndarray::square_matrix:order=%s,size=%d', pkg, order, N*N ), f );
+		}
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/index.d.ts
new file mode 100644
index 000000000000..2d013d5780a4
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/index.d.ts
@@ -0,0 +1,226 @@
+/*
+* @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
+
+/// <reference types="@stdlib/types"/>
+
+import { Layout } from '@stdlib/types/blas';
+
+/**
+* Status code.
+*
+* ## Notes
+*
+* The status code indicates the following conditions:
+*
+* -   if equal to zero, then the reduction was successful.
+* -   if less than zero, then the value of the `-StatusCode`th argument had an illegal value.
+*/
+type StatusCode = number;
+
+/**
+* Interface describing `dgebrd`.
+*/
+interface Routine {
+	/**
+	* Reduces a general real `M-by-N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+	*
+	* -   If `M >= N`,
+	*
+	*     -   `B` is upper bi-diagonal form.
+	*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+	*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+	*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+	*
+	* -   If `M < N`,
+	*
+	*     -   `B` is lower bi-diagonal form.
+	*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+	*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+	*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+	*
+	* @param order - storage layout
+	* @param M - number of rows in `A`
+	* @param N - number of columns in `A`
+	* @param A - input matrix
+	* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+	* @param D - the diagonal elements of the bidiagonal matrix `B`
+	* @param E - the off-diagonal elements of the bidiagonal matrix `B`
+	* @param TAUQ - the scalar factors of the elementary reflectors that represent the orthogonal matrix `Q`
+	* @param TAUP - the scalar factors of the elementary reflectors that represent the orthogonal matrix `P`
+	* @param WORK - workspace array
+	* @param LWORK - length of `WORK`
+	* @returns status code
+	*
+	* @example
+	* var Float64Array = require( '@stdlib/array/float64' );
+	*
+	* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+	* var D = new Float64Array( [ 0.0, 0.0 ] );
+	* var E = new Float64Array( [ 0.0 ] );
+	* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	* var WORK = new Float64Array( 100 );
+	*
+	* dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+	* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+	* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+	* // E => <Float64Array>[ ~-3.007 ]
+	* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+	* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+	* // WORK[ 0 ] => 3.0
+	*/
+	( order: Layout, M: number, N: number, A: Float64Array, LDA: number, D: Float64Array, E: Float64Array, TAUQ: Float64Array, TAUP: Float64Array, WORK: Float64Array, LWORK: number ): StatusCode;
+
+	/**
+	* Reduces a general real `M-by-N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B` using alternative indexing semantics.
+	*
+	* -   If `M >= N`,
+	*
+	*     -   `B` is upper bi-diagonal form.
+	*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+	*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+	*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+	*
+	* -   If `M < N`,
+	*
+	*     -   `B` is lower bi-diagonal form.
+	*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+	*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+	*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+	*
+	* @param M - number of rows in `A`
+	* @param N - number of columns in `A`
+	* @param A - input matrix
+	* @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 D - the diagonal elements of the bidiagonal matrix `B`
+	* @param strideD - stride length for `D`
+	* @param offsetD - starting index for `D`
+	* @param E - the off-diagonal elements of the bidiagonal matrix `B`
+	* @param strideE - stride length for `E`
+	* @param offsetE - starting index for `E`
+	* @param TAUQ - the scalar factors of the elementary reflectors that represent the orthogonal matrix `Q`
+	* @param strideTAUQ - stride length for `TAUQ`
+	* @param offsetTAUQ - starting index for `TAUQ`
+	* @param TAUP - the scalar factors of the elementary reflectors that represent the orthogonal matrix `P`
+	* @param strideTAUP - stride length for `TAUP`
+	* @param offsetTAUP - starting index for `TAUP`
+	* @param WORK - workspace array
+	* @param strideWORK - stride length for `WORK`
+	* @param offsetWORK - starting index for `WORK`
+	* @param LWORK - length of `WORK`
+	* @returns status code
+	*
+	* @example
+	* var Float64Array = require( '@stdlib/array/float64' );
+	*
+	* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+	* var D = new Float64Array( [ 0.0, 0.0 ] );
+	* var E = new Float64Array( [ 0.0 ] );
+	* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	* var WORK = new Float64Array( 100 );
+	*
+	* dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 );
+	* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+	* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+	* // E => <Float64Array>[ ~-3.007 ]
+	* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+	* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+	* // WORK[ 0 ] => 3.0
+	*/
+	ndarray( M: number, N: number, A: Float64Array, strideA1: number, strideA2: number, offsetA: number, D: Float64Array, strideD: number, offsetD: number, E: Float64Array, strideE: number, offsetE: number, TAUQ: Float64Array, strideTAUQ: number, offsetTAUQ: number, TAUP: Float64Array, strideTAUP: number, offsetTAUP: number, WORK: Float64Array, strideWORK: number, offsetWORK: number, LWORK: number ): StatusCode;
+}
+
+/**
+* LAPACK routine to reduce a general real `M-by-N` matrix `A` to upper or lower bidiagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `B` is upper bi-diagonal form.
+*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `B` is lower bi-diagonal form.
+*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @param order - storage layout
+* @param M - number of rows in `A`
+* @param N - number of columns in `A`
+* @param A - input matrix
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param D - the diagonal elements of the bidiagonal matrix `B`
+* @param E - the off-diagonal elements of the bidiagonal matrix `B`
+* @param TAUQ - the scalar factors of the elementary reflectors that represent the orthogonal matrix `Q`
+* @param TAUP - the scalar factors of the elementary reflectors that represent the orthogonal matrix `P`
+* @param WORK - workspace array
+* @param LWORK - length of `WORK`
+* @returns status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*/
+declare var dgebrd: Routine;
+
+
+// EXPORTS //
+
+export = dgebrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/test.ts
new file mode 100644
index 000000000000..6837b84c7197
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/types/test.ts
@@ -0,0 +1,732 @@
+/*
+* @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 dgebrd = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $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( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 5, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( true, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( false, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( null, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( void 0, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( [], 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( {}, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( ( x: number ): number => x, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', '5', 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', true, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', false, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', null, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', void 0, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', [], 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', {}, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', ( x: number ): number => x, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, '5', A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, true, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, false, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, null, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, void 0, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, [], A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, {}, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, ( x: number ): number => x, A, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, '5', 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, 5, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, true, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, false, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, null, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, void 0, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, [], 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, {}, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, ( x: number ): number => x, 3, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, '5', D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, true, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, false, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, null, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, void 0, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, [], D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, {}, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, ( x: number ): number => x, D, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, '5', E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, 5, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, true, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, false, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, null, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, void 0, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, [], E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, {}, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, ( x: number ): number => x, E, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, '5', TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, 5, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, true, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, false, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, null, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, void 0, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, [], TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, {}, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, ( x: number ): number => x, TAUQ, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, '5', TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, 5, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, true, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, false, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, null, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, void 0, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, [], TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, {}, TAUP, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, ( x: number ): number => x, TAUP, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a ninth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, '5', WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, 5, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, true, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, false, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, null, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, void 0, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, [], WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, {}, WORK, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, ( x: number ): number => x, WORK, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a tenth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, '5', 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, 5, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, true, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, false, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, null, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, void 0, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, [], 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, {}, 100 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, ( x: number ): number => x, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eleventh argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, '5' ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, true ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, false ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, null ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, void 0 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, [] ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, {} ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, 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( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd(); // $ExpectError
+	dgebrd( 'column-major' ); // $ExpectError
+	dgebrd( 'column-major', 3 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3 ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK ); // $ExpectError
+	dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectType number
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( '5', 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( true, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( false, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( null, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( void 0, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( [], 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( {}, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( ( x: number ): number => x, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, '5', A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, true, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, false, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, null, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, void 0, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, [], A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, {}, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, ( x: number ): number => x, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a third argument which is not a Float64Array...
+{
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, '5', 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, 5, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, true, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, false, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, null, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, void 0, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, [], 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, {}, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, ( x: number ): number => x, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, '5', 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, true, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, false, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, null, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, void 0, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, [], 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, {}, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, ( x: number ): number => x, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, '5', 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, true, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, false, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, null, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, void 0, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, [], 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, {}, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, ( x: number ): number => x, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, '5', D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, true, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, false, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, null, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, void 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, [], D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, {}, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, ( x: number ): number => x, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, '5', 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, 5, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, true, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, false, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, null, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, void 0, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, [], 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, {}, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, ( x: number ): number => x, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, '5', 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, true, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, false, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, null, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, void 0, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, [], 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, {}, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, ( x: number ): number => x, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a ninth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, '5', E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, true, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, false, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, null, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, void 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, [], E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, {}, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, ( x: number ): number => x, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a tenth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, '5', 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, 5, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, true, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, false, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, null, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, void 0, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, [], 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, {}, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, ( x: number ): number => x, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eleventh argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, '5', 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, true, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, false, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, null, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, void 0, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, [], 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, {}, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, ( x: number ): number => x, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twelfth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, '5', TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, true, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, false, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, null, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, void 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, [], TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, {}, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, ( x: number ): number => x, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a thirteenth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, '5', 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, 5, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, true, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, false, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, null, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, void 0, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, [], 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, {}, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, ( x: number ): number => x, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourteenth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, '5', 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, true, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, false, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, null, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, void 0, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, [], 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, {}, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, ( x: number ): number => x, 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifteenth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, '5', TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, true, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, false, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, null, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, void 0, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, [], TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, {}, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, ( x: number ): number => x, TAUP, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixteenth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, '5', 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, 5, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, true, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, false, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, null, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, void 0, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, [], 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, {}, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, ( x: number ): number => x, 1, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventeenth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, '5', 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, true, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, false, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, null, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, void 0, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, [], 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, {}, 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, ( x: number ): number => x, 0, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighteenth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, '5', WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, true, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, false, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, null, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, void 0, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, [], WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, {}, WORK, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, ( x: number ): number => x, WORK, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a nineteenth argument which is not a Float64Array...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, '5', 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, 5, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, true, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, false, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, null, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, void 0, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, [], 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, {}, 1, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, ( x: number ): number => x, 1, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twentieth argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, '5', 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, true, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, false, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, null, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, void 0, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, [], 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, {}, 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, ( x: number ): number => x, 0, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twenty-first argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, '5', 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, true, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, false, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, null, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, void 0, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, [], 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, {}, 100 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, ( x: number ): number => x, 100 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twenty-second argument which is not a number...
+{
+	const A = new Float64Array( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, '5' ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, true ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, false ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, null ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, void 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, [] ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, {} ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 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( 6 );
+	const D = new Float64Array( 2 );
+	const E = new Float64Array( 1 );
+	const TAUQ = new Float64Array( 2 );
+	const TAUP = new Float64Array( 2 );
+	const WORK = new Float64Array( 100 );
+
+	dgebrd.ndarray(); // $ExpectError
+	dgebrd.ndarray( 3 ); // $ExpectError
+	dgebrd.ndarray( 3, 2 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0 ); // $ExpectError
+	dgebrd.ndarray( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/examples/index.js
new file mode 100644
index 000000000000..061af3fb6b24
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/examples/index.js
@@ -0,0 +1,54 @@
+/**
+* @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 min = require( '@stdlib/math/base/special/min' );
+var dgebrd = require( './../lib' );
+
+var M = 4;
+var N = 3;
+var LDA = M;
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
+
+/*
+	A = [
+		[ 1.0,  5.0,  9.0 ],
+		[ 2.0,  6.0, 10.0 ],
+		[ 3.0,  7.0, 11.0 ],
+		[ 4.0,  8.0, 12.0 ]
+	]
+*/
+
+var D = new Float64Array( min( M, N ) );
+var E = new Float64Array( min( M, N ) - 1 );
+var TAUQ = new Float64Array( min( M, N ) );
+var TAUP = new Float64Array( min( M, N ) );
+var WORK = new Float64Array( 200 );
+
+// Reduce `A` to bi-diagonal form `B`:
+var info = dgebrd( 'column-major', M, N, A, LDA, D, E, TAUQ, TAUP, WORK, 200 );
+
+console.log( D );
+console.log( E );
+console.log( TAUQ );
+console.log( TAUP );
+console.log( A );
+console.log( info );
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/base.js
new file mode 100644
index 000000000000..ac4872eccd8c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/base.js
@@ -0,0 +1,200 @@
+/**
+* @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 min = require( '@stdlib/math/base/special/min' );
+var max = require( '@stdlib/math/base/special/max' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var dgebd2 = require( './dgebd2.js' );
+var dlabrd = require( './dlabrd.js' );
+
+
+// MAIN //
+
+/**
+* Reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `B` is upper bi-diagonal form.
+*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `B` is lower bi-diagonal form.
+*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows in `A`
+* @param {NonNegativeInteger} N - number of columns in `A`
+* @param {Float64Array} A - 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} D - diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)`)
+* @param {integer} strideD - stride length for `D`
+* @param {NonNegativeInteger} offsetD - starting index for `D`
+* @param {Float64Array} E - off-diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)-1`)
+* @param {integer} strideE - stride length for `E`
+* @param {NonNegativeInteger} offsetE - starting index for `E`
+* @param {Float64Array} TAUQ - scalars factors of the elementary reflectors that represent the orthogonal matrix `Q` (length `NB`)
+* @param {integer} strideTAUQ - stride length for `TAUQ`
+* @param {NonNegativeInteger} offsetTAUQ - starting index for `TAUQ`
+* @param {Float64Array} TAUP - scalars factors of the elementary reflectors that represent the orthogonal matrix `P` (length `NB`)
+* @param {integer} strideTAUP - stride length for `TAUP`
+* @param {NonNegativeInteger} offsetTAUP - starting index for `TAUP`
+* @param {Float64Array} WORK - workspace array (length >= `max(1,LWORK)`)
+* @param {integer} strideWORK - stride length of `WORK`
+* @param {NonNegativeInteger} offsetWORK - starting index for `WORK`
+* @param {integer} LWORK - length of WORK array
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*/
+function dgebrd( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK, LWORK ) { // eslint-disable-line stdlib/jsdoc-doctest-decimal-point
+	var ldwrkx;
+	var ldwrky;
+	var lwkmin;
+	var lwkopt;
+	var lquery;
+	var minmn;
+	var nbmin;
+	var nb;
+	var nx;
+	var ws;
+	var i;
+	var j;
+
+	minmn = min( M, N );
+	if ( minmn === 0 ) {
+		lwkmin = 1;
+		lwkopt = 1;
+	} else {
+		lwkmin = max( M, N );
+		nb = 32; // The optimal blocksize derived from the Fortran LAPACK call `ilaenv( 1, 'DGEBRD', ' ', m, n, -1, -1 )`
+		lwkopt = ( M + N ) * nb;
+	}
+
+	WORK[ offsetWORK ] = lwkopt;
+
+	lquery = ( LWORK === -1 );
+
+	if ( ( LWORK < lwkmin ) && !lquery ) {
+		return -10;
+	}
+
+	if ( lquery ) {
+		return 0;
+	}
+
+	// Quick return if possible
+	if ( minmn === 0 ) {
+		WORK[ offsetWORK ] = 1;
+		return 0;
+	}
+
+	// Determine the block size
+	ldwrkx = M;
+	ldwrky = N;
+	ws = max( M, N );
+	nx = minmn;
+
+	if ( nb > 1 && nb < minmn ) {
+		// Set the crossover point NX
+		nx = max( nb, 128 ); // The crossover point derived from the Fortran LAPACK call `ilaenv( 3, 'DGEBRD', ' ', m, n, -1, -1 )`
+
+		// Determine when to switch from blocked to unblocked code
+		if ( nx < minmn ) {
+			ws = lwkopt;
+			if ( LWORK < ws ) {
+				// Not enough workspace for optimal NB,consider using a smaller block size
+				nbmin = 2; // The minimum block size derived from the Fortran LAPACK call `ilaenv( 2, 'DGEBRD', ' ', m, n, -1, -1 )`
+				if ( LWORK >= ( M + N ) * nbmin ) {
+					nb = floor( LWORK / ( M + N ) );
+				} else {
+					nb = 1;
+					nx = minmn;
+				}
+			}
+		}
+	} else {
+		nx = minmn;
+	}
+
+	for ( i = 0; i < minmn - nx; i += nb ) {
+		// Reduce rows and columns i:i+nb-1 to bi-diagonal form and return the matrices X and Y which are needed to update the unreduced part of the matrix.
+		dlabrd( M - i, N - i, nb, A, strideA1, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ), D, strideD, offsetD + ( i * strideD ), E, strideE, offsetE + ( i * strideE ), TAUQ, strideTAUQ, offsetTAUQ + ( i * strideTAUQ ), TAUP, strideTAUP, offsetTAUP + ( i * strideTAUP ), WORK, strideWORK, ldwrkx, offsetWORK, WORK, strideWORK, ldwrky, offsetWORK + ( ldwrkx*nb ) );
+
+		//  Update the trailing submatrix A(i+nb:m,i+nb:n), using an update of the form  A := A - V*Y**T - X*U**T
+		dgemm('no-transpose', 'transpose', M - i - nb, N - i - nb, nb, -1.0, A, strideA1, strideA2, offsetA + ( ( i + nb ) * strideA1 ) + ( i * strideA2 ), WORK, strideWORK, ldwrky, offsetWORK + ( ldwrkx * nb ) + nb, 1.0, A, strideA1, strideA2, offsetA + ( ( i + nb ) * strideA1 ) + ( ( i + nb ) * strideA2 ) );
+
+		dgemm('no-transpose', 'no-transpose', M - i - nb, N - i - nb, nb, -1.0, WORK, strideWORK, ldwrkx, offsetWORK + nb, A, strideA1, strideA2, offsetA + ( i * strideA1 ) + (( i + nb ) * strideA2), 1.0, A, strideA1, strideA2, offsetA + ( ( i + nb ) * strideA1 ) + ( ( i + nb ) * strideA2 ) );
+
+		// Copy diagonal and off-diagonal elements of B back into A
+		if ( M >= N ) {
+			for ( j = i; j < i + nb; j++ ) {
+				A[ offsetA + ( j * strideA1 ) + ( j * strideA2 ) ] = D[ offsetD + ( j * strideD ) ];
+				A[ offsetA + ( j * strideA1 ) + ( ( j + 1 ) * strideA2 ) ] = E[ offsetE + ( j * strideE ) ];
+			}
+		} else {
+			for ( j = i; j < i + nb; j++ ) {
+				A[ offsetA + ( j * strideA1 ) + ( j * strideA2 ) ] = D[ offsetD + ( j * strideD ) ];
+				A[ offsetA + ( ( j + 1 ) * strideA1 ) + ( j * strideA2 ) ] = E[ offsetE + ( j * strideE ) ];
+			}
+		}
+	}
+
+	// Use unblocked code to reduce the remainder of the matrix
+	dgebd2( M - i, N - i, A, strideA1, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ), D, strideD, offsetD + ( i * strideD ), E, strideE, offsetE + ( i * strideE ), TAUQ, strideTAUQ, offsetTAUQ + ( i * strideTAUQ ), TAUP, strideTAUP, offsetTAUP + ( i * strideTAUP ), WORK, strideWORK, offsetWORK );
+	WORK[ offsetWORK ] = ws;
+
+	return 0;
+}
+
+
+// EXPORTS //
+
+module.exports = dgebrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebd2.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebd2.js
new file mode 100644
index 000000000000..371215257c82
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebd2.js
@@ -0,0 +1,189 @@
+/**
+* @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 dlarf1f = require( '@stdlib/lapack/base/dlarf1f' ).ndarray;
+var min = require( '@stdlib/math/base/special/min' );
+var Float64Array = require( '@stdlib/array/float64' );
+var dlarfg = require( './dlarfg.js' );
+
+
+// MAIN //
+
+/**
+* Reduces a real general `M` by `N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation: `Q**T * A * P = B`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `B` is upper bi-diagonal.
+*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+*     -   The elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   The elements above the first superdiagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `B` is lower bi-diagonal.
+*     -   The diagonal and the first subdiagonal are overwritten with the lower bi-diagonal matrix `B`.
+*     -   The elements below the first subdiagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   The elements above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows of `A`
+* @param {NonNegativeInteger} N - number of columns of `A`
+* @param {Float64Array} A - input/output 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 of `A`
+* @param {Float64Array} D - diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)`)
+* @param {integer} strideD - stride length for `D`
+* @param {NonNegativeInteger} offsetD - starting index of `D`
+* @param {Float64Array} E - off-diagonal elements of the bi-diagonal matrix `B`, (length `min(M,N)`-1)
+* @param {integer} strideE - stride length for `E`
+* @param {NonNegativeInteger} offsetE - starting index of `E`
+* @param {Float64Array} TAUQ - scalar factors of the elementary reflectors which represent the orthogonal matrix `Q` (length `min(M,N)`)
+* @param {integer} strideTAUQ - stride length for `TAUQ`
+* @param {NonNegativeInteger} offsetTAUQ - starting index of `TAUQ`
+* @param {Float64Array} TAUP - scalar factors of the elementary reflectors which represent the orthogonal matrix `P` (length `min(M,N)`)
+* @param {integer} strideTAUP - stride length for `TAUP`
+* @param {NonNegativeInteger} offsetTAUP - starting index of `TAUP`
+* @param {Float64Array} WORK - workspace array (length >= `max(M,N)`)
+* @param {integer} strideWORK - stride length for `WORK`
+* @param {NonNegativeInteger} offsetWORK - starting index of `WORK`
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+*
+* dgebd2( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0 );
+* // A => <Float64Array>[ ~-3.742, ~0.422, ~0.633, ~-8.552, ~1.964, ~0.86 ]
+* // D => <Float64Array>[ ~-3.742, ~1.964 ]
+* // E => <Float64Array>[ ~-8.552 ]
+* // TAUQ => <Float64Array>[ ~1.267, ~1.15 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK => <Float64Array>[ ~9.9, 0.0, 0.0 ]
+*/
+function dgebd2( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK ) { // eslint-disable-line stdlib/jsdoc-doctest-decimal-point
+	var aii;
+	var out;
+	var i;
+
+	if ( M === 0 || N === 0 ) {
+		return 0;
+	}
+
+	out = new Float64Array( 2 );
+
+	if ( M >= N ) {
+		// Reduce to upper bi-diagonal form
+		for ( i = 0; i < N; i++ ) {
+			aii = offsetA + ( i * strideA1 ) + ( i * strideA2 ); // Index of A(i, i)
+
+			// Generate elementary reflector H(i) to annihilate A(i+1:M-1, i)
+			out[ 0 ] = A[ aii ];
+
+			dlarfg( M - i, A, strideA1, offsetA + ( min( i + 1, M - 1 ) * strideA1 ) + ( i * strideA2 ), out, 1, 0 );
+
+			A[ aii ] = out[ 0 ];
+			TAUQ[ offsetTAUQ + ( strideTAUQ * i ) ] = out[ 1 ];
+
+			// D(i) = A(i,i) (the computed beta)
+			D[ offsetD + ( i * strideD ) ] = A[ aii ];
+
+			// Apply H(i) to A(i:M-1, i+1:N-1) from the left
+			if ( i < N - 1 ) {
+				dlarf1f( 'left', M - i, N - i - 1, A, strideA1, aii, TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ], A, strideA1, strideA2, aii + strideA2, WORK, strideWORK, offsetWORK );
+			}
+
+			if ( i < N - 1 ) {
+				// Generate elementary reflector G(i) to annihilate A(i, i+2:N-1)
+				out[ 0 ] = A[ aii + strideA2 ];
+
+				dlarfg( N - i - 1, A, strideA2, offsetA + ( i * strideA1 ) + ( min( i + 2, N - 1 ) * strideA2 ), out, 1, 0 );
+
+				A[ aii + strideA2 ] = out[ 0 ];
+				TAUP[ offsetTAUP + ( strideTAUP * i ) ] = out[ 1 ];
+
+				// E(i) = A(i, i+1) (the computed beta)
+				E[ offsetE + ( i * strideE ) ] = A[ aii + strideA2 ];
+
+				// Apply G(i) to A(i+1:M-1, i+1:N-1) from the right
+				dlarf1f( 'right', M - i - 1, N - i - 1, A, strideA2, aii + strideA2, TAUP[ offsetTAUP + ( i * strideTAUP ) ], A, strideA1, strideA2, aii + strideA1 + strideA2, WORK, strideWORK, offsetWORK );
+			} else {
+				TAUP[ offsetTAUP + ( i * strideTAUP ) ] = 0.0;
+			}
+		}
+	} else {
+		// Reduce to lower bi-diagonal form
+		for ( i = 0; i < M; i++ ) {
+			aii = offsetA + ( i * strideA1 ) + ( i * strideA2 ); // Index of A(i, i)
+
+			// Generate elementary reflector G(i) to annihilate A(i, i+1:N-1)
+			out[ 0 ] = A[ aii ];
+			dlarfg( N - i, A, strideA2, offsetA + ( i * strideA1 ) + ( min( i + 1, N - 1 ) * strideA2 ), out, 1, 0 );
+
+			A[ aii ] = out[ 0 ];
+			TAUP[ offsetTAUP + ( strideTAUP * i ) ] = out[ 1 ];
+
+			// D(i) = A(i,i) (the computed beta)
+			D[ offsetD + ( i * strideD ) ] = A[ aii ];
+
+			// Apply G(i) to A(i+1:M-1, i:N-1) from the right
+			if ( i < M - 1 ) {
+				dlarf1f( 'right', M - i - 1, N - i, A, strideA2, aii, TAUP[ offsetTAUP + ( i * strideTAUP ) ], A, strideA1, strideA2, aii + strideA1, WORK, strideWORK, offsetWORK );
+			}
+
+			if ( i < M - 1 ) {
+				// Generate elementary reflector H(i) to annihilate A(i+2:M-1, i)
+				out[ 0 ] = A[ aii + strideA1 ];
+				dlarfg( M - i - 1, A, strideA1, offsetA + ( min( i + 2, M - 1 ) * strideA1 ) + ( i * strideA2 ), out, 1, 0 );
+
+				A[ aii + strideA1 ] = out[ 0 ];
+				TAUQ[ offsetTAUQ + ( strideTAUQ * i ) ] = out[ 1 ];
+
+				// E(i) = A(i+1, i) (the computed beta)
+				E[ offsetE + ( i * strideE ) ] = A[ aii + strideA1 ];
+
+				// Apply H(i) to A(i+1:M-1, i+1:N-1) from the left
+				dlarf1f( 'left', M - i - 1, N - i - 1, A, strideA1, aii + strideA1, TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ], A, strideA1, strideA2, aii + strideA1 + strideA2, WORK, strideWORK, offsetWORK );
+			} else {
+				TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ] = 0.0;
+			}
+		}
+	}
+
+	return 0;
+}
+
+
+// EXPORTS //
+
+module.exports = dgebd2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebrd.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebrd.js
new file mode 100644
index 000000000000..8008b8a7f18b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dgebrd.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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+var max = require( '@stdlib/math/base/special/max' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `B` is upper bi-diagonal form.
+*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `B` is lower bi-diagonal form.
+*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @param {string} order - storage layout
+* @param {NonNegativeInteger} M - number of rows in `A`
+* @param {NonNegativeInteger} N - number of columns in `A`
+* @param {Float64Array} A - input matrix
+* @param {integer} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param {Float64Array} D - diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)`)
+* @param {Float64Array} E - off-diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)-1`)
+* @param {Float64Array} TAUQ - scalars factors of the elementary reflectors that represent the orthogonal matrix `Q` (length `NB`)
+* @param {Float64Array} TAUP - scalars factors of the elementary reflectors that represent the orthogonal matrix `P` (length `NB`)
+* @param {Float64Array} WORK - workspace array (length >= `max(1,LWORK)`)
+* @param {integer} LWORK - length of WORK array
+* @throws {TypeError} first argument must be a valid order
+* @throws {RangeError} second argument must be a non-negative integer
+* @throws {RangeError} third argument must be a non-negative integer
+* @throws {RangeError} fifth argument must be valid LDA value
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*/
+function dgebrd( order, M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK ) { // eslint-disable-line max-params, stdlib/jsdoc-doctest-decimal-point
+	var sA1;
+	var sA2;
+
+	if ( !isLayout( order ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+	}
+	if ( M < 0 ) {
+		throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', M ) );
+	}
+	if ( N < 0 ) {
+		throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+	}
+	if ( isColumnMajor( order ) ) {
+		if ( LDA < max( 1, M ) ) {
+			throw new RangeError( format( 'invalid argument. Fifth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDA ) );
+		}
+		sA1 = 1;
+		sA2 = LDA;
+	} else { // order === 'row-major'
+		if ( LDA < max( 1, N ) ) {
+			throw new RangeError( format( 'invalid argument. Fifth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDA ) );
+		}
+		sA1 = LDA;
+		sA2 = 1;
+	}
+	return base( M, N, A, sA1, sA2, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, LWORK ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = dgebrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlabrd.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlabrd.js
new file mode 100644
index 000000000000..d1e80f487078
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlabrd.js
@@ -0,0 +1,247 @@
+/**
+* @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 dgemv = require( '@stdlib/blas/base/dgemv' ).ndarray;
+var dscal = require( '@stdlib/blas/base/dscal' ).ndarray;
+var min = require( '@stdlib/math/base/special/min' );
+var Float64Array = require( '@stdlib/array/float64' );
+var dlarfg = require( './dlarfg.js' );
+
+
+// MAIN //
+
+/**
+* Reduces the first `NB` rows and columns of a real general matrix `A` to upper or lower bi-diagonal form by an orthogonal transformation `Q**T*A*P`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `A` is reduced to upper bi-diagonal form.
+*     -   Elements on and below the diagonal in the first `NB` columns, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements above the diagonal in the first `NB` rows, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `A` is reduced to lower bi-diagonal form.
+*     -   Elements below the diagonal in the first `NB` columns, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements on and above the diagonal in the first `NB` rows, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @private
+* @param {NonNegativeInteger} M - number of rows in `A`
+* @param {NonNegativeInteger} N - number of columns in `A`
+* @param {integer} NB - number of leading rows and columns of `A` to reduce
+* @param {Float64Array} A - 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} D - real diagonal elements (length `NB`)
+* @param {integer} strideD - stride length for `D`
+* @param {NonNegativeInteger} offsetD - starting index for `D`
+* @param {Float64Array} E - real off-diagonal elements (length `NB`)
+* @param {integer} strideE - stride length for `E`
+* @param {NonNegativeInteger} offsetE - starting index for `E`
+* @param {Float64Array} TAUQ - scalars factors of the elementary reflectors that represent the orthogonal matrix `Q` (length `NB`)
+* @param {integer} strideTAUQ - stride length for `TAUQ`
+* @param {NonNegativeInteger} offsetTAUQ - starting index for `TAUQ`
+* @param {Float64Array} TAUP - scalars factors of the elementary reflectors that represent the orthogonal matrix `P` (length `NB`)
+* @param {integer} strideTAUP - stride length for `TAUP`
+* @param {NonNegativeInteger} offsetTAUP - starting index for `TAUP`
+* @param {Float64Array} X - output matrix
+* @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`
+* @param {Float64Array} Y - output matrix
+* @param {integer} strideY1 - stride of the first dimension of `Y`
+* @param {integer} strideY2 - stride of the second dimension of `Y`
+* @param {NonNegativeInteger} offsetY - starting index for `Y`
+* @returns {void}
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var D = new Float64Array( [ 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0 ] );
+* var X = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+* var Y = new Float64Array( [ 0.0, 0.0 ] );
+*
+* dlabrd( 3, 2, 1, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, X, 1, 3, 0, Y, 1, 2, 0 );
+* // A => <Float64Array>[ 1.0, ~0.422, ~0.633, 1.0, 5.0, 6.0 ]
+* // D => <Float64Array>[ ~-3.742 ]
+* // E => <Float64Array>[ ~-8.552 ]
+* // TAUQ => <Float64Array>[ ~1.267 ]
+* // TAUP => <Float64Array>[ 0.0 ]
+* // X => <Float64Array>[ ~12.552, 0.0, 0.0 ]
+* // Y => <Float64Array>[ 0.0, ~12.552 ]
+*/
+function dlabrd( M, N, NB, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, X, strideX1, strideX2, offsetX, Y, strideY1, strideY2, offsetY ) {
+	var out;
+	var i;
+
+	if ( M <= 0 || N <= 0 ) {
+		return;
+	}
+
+	out = new Float64Array( 2 );
+
+	if ( M >= N ) {
+		// Reduce to upper bi-diagonal form
+		for ( i = 0; i < NB; i++ ) {
+			// Update A(i:M-1, i)
+			dgemv( 'no-transpose', M - i, i, -1.0, A, strideA1, strideA2, offsetA + ( i * strideA1 ), Y, strideY2, offsetY + ( i * strideY1 ), 1.0, A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) );
+
+			dgemv( 'no-transpose', M - i, i, -1.0, X, strideX1, strideX2, offsetX + ( i * strideX1 ), A, strideA1, offsetA + ( i * strideA2 ), 1.0, A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) );
+
+			// Generate elementary reflector H(i) to annihilate A(i+1:M-1, i)
+			out[ 0 ] = A[ offsetA + ( ( strideA1 + strideA2 ) * i ) ];
+
+			dlarfg( M - i, A, strideA1, offsetA + ( min( i + 1, M - 1 ) * strideA1 ) + ( i * strideA2 ), out, 1, 0 );
+
+			A[ offsetA + ( ( strideA1 + strideA2 ) * i ) ] = out[ 0 ];
+			TAUQ[ offsetTAUQ + ( strideTAUQ * i ) ] = out[ 1 ];
+
+			D[ offsetD + ( i * strideD ) ] = A[ offsetA + ( i * ( strideA1 + strideA2 ) ) ];
+
+			if ( i < N - 1 ) {
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) ] = 1.0;
+
+				// Compute Y(i+1:N-1, i)
+				dgemv( 'transpose', M - i, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( i * strideA1 ) + ( ( i + 1 ) * strideA2 ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dgemv( 'transpose', M - i, i, 1.0, A, strideA1, strideA2, offsetA + ( i * strideA1 ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, Y, strideY1, offsetY + ( i * strideY2 ) );
+
+				dgemv( 'no-transpose', N - i - 1, i, -1.0, Y, strideY1, strideY2, offsetY + ( ( i + 1 ) * strideY1 ), Y, strideY1, offsetY + ( i * strideY2 ), 1.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dgemv( 'transpose', M - i, i, 1.0, X, strideX1, strideX2, offsetX + ( i * strideX1 ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, Y, strideY1, offsetY + ( i * strideY2 ) );
+
+				dgemv( 'transpose', i, N - i - 1, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA2 ), Y, strideY1, offsetY + ( i * strideY2 ), 1.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dscal( N - i - 1, TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ], Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				// Update A(i, i+1:N-1)
+				dgemv( 'no-transpose', N - i - 1, i + 1, -1.0, Y, strideY1, strideY2, offsetY + ( ( i + 1 ) * strideY1 ), A, strideA2, offsetA + ( i * strideA1 ), 1.0, A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2 );
+
+				dgemv( 'transpose', i, N - i - 1, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA2 ), X, strideX2, offsetX + ( i * strideX1 ), 1.0, A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2 );
+
+				// Generate elementary reflector P(i) to annihilate A(i, i+2:N-1)
+				out[ 0 ] = A[ offsetA + ( ( strideA1 + strideA2 ) * i ) + strideA2 ];
+
+				dlarfg( N - i - 1, A, strideA2, offsetA + ( i * strideA1 ) + ( min( i + 2, N - 1 ) * strideA2 ), out, 1, 0 );
+
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2 ] = out[ 0 ];
+				TAUP[ offsetTAUP + ( i * strideTAUP ) ] = out[ 1 ];
+
+				E[ offsetE + ( i * strideE ) ] = out[ 0 ];
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2 ] = 1.0;
+
+				// Compute X(i+1:M-1, i)
+
+				dgemv( 'no-transpose', M - i - 1, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * ( strideA1 + strideA2 ) ), A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2, 0.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dgemv( 'transpose', N - i - 1, i + 1, 1.0, Y, strideY1, strideY2, offsetY + ( ( i + 1 ) * strideY1 ), A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2, 0.0, X, strideX1, offsetX + ( i * strideX2 ) );
+
+				dgemv( 'no-transpose', M - i - 1, i + 1, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), X, strideX1, offsetX + ( i * strideX2 ), 1.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dgemv( 'no-transpose', i, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA2 ), A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA2, 0.0, X, strideX1, offsetX + ( i * strideX2 ) );
+
+				dgemv( 'no-transpose', M - i - 1, i, -1.0, X, strideX1, strideX2, offsetX + ( ( i + 1 ) * strideX1 ), X, strideX1, offsetX + ( i * strideX2 ), 1.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dscal( M - i - 1, TAUP[ offsetTAUP + ( i * strideTAUP ) ], X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+			}
+		}
+	} else {
+		// Reduce to lower bi-diagonal form (M < N)
+		for ( i = 0; i < NB; i++ ) {
+			// Update A(i, i:N-1)
+			dgemv( 'no-transpose', N - i, i, -1.0, Y, strideY1, strideY2, offsetY + ( i * strideY1 ), A, strideA2, offsetA + ( i * strideA1 ), 1.0, A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) );
+
+			dgemv( 'transpose', i, N - i, -1.0, A, strideA1, strideA2, offsetA + ( i * strideA2 ), X, strideX2, offsetX + ( i * strideX1 ), 1.0, A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) );
+
+			// Generate elementary reflector P(i) to annihilate A(i, i+1:N-1)
+			out[ 0 ] = A[ offsetA + ( ( strideA1 + strideA2 ) * i ) ];
+
+			dlarfg( N - i, A, strideA2, offsetA + ( i * strideA1 ) + ( min( i + 1, N - 1 ) * strideA2 ), out, 1, 0 );
+
+			A[ offsetA + ( ( strideA1 + strideA2 ) * i ) ] = out[ 0 ];
+			TAUP[ offsetTAUP + ( i * strideTAUP ) ] = out[ 1 ];
+
+			D[ offsetD + ( i * strideD ) ] = A[ offsetA + ( i * ( strideA1 + strideA2 ) ) ];
+
+			if ( i < M - 1 ) {
+				// Set A(i,i) = 1 for use as reflector vector
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) ] = 1.0;
+
+				// Compute X(i+1:M-1, i)
+				dgemv( 'no-transpose', M - i - 1, N - i, 1.0, A, strideA1, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1, A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dgemv( 'transpose', N - i, i, 1.0, Y, strideY1, strideY2, offsetY + ( i * strideY1 ), A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, X, strideX1, offsetX + ( i * strideX2 ) );
+
+				dgemv( 'no-transpose', M - i - 1, i, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), X, strideX1, offsetX + ( i * strideX2 ), 1.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dgemv( 'no-transpose', i, N - i, 1.0, A, strideA1, strideA2, offsetA + ( i * strideA2 ), A, strideA2, offsetA + ( i * ( strideA1 + strideA2 ) ), 0.0, X, strideX1, offsetX + ( i * strideX2 ) );
+
+				dgemv( 'no-transpose', M - i - 1, i, -1.0, X, strideX1, strideX2, offsetX + ( ( i + 1 ) * strideX1 ), X, strideX1, offsetX + ( i * strideX2 ), 1.0, X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				dscal( M - i - 1, TAUP[ offsetTAUP + ( i * strideTAUP ) ], X, strideX1, offsetX + ( i * ( strideX1 + strideX2 ) ) + strideX1 );
+
+				// Update A(i+1:M-1, i)
+				dgemv( 'no-transpose', M - i - 1, i, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), Y, strideY2, offsetY + ( i * strideY1 ), 1.0, A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1 );
+
+				dgemv( 'no-transpose', M - i - 1, i + 1, -1.0, X, strideX1, strideX2, offsetX + ( ( i + 1 ) * strideX1 ), A, strideA1, offsetA + ( i * strideA2 ), 1.0, A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1 );
+
+				// Generate reflection Q(i) to annihilate A(i+2:M-1, i)
+				out[ 0 ] = A[ offsetA + ( ( strideA1 + strideA2 ) * i ) + strideA1 ];
+
+				dlarfg( M - i - 1, A, strideA1, offsetA + ( min( i + 2, M - 1 ) * strideA1 ) + ( i * strideA2 ), out, 1, 0 );
+
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1 ] = out[ 0 ];
+				TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ] = out[ 1 ];
+
+				E[ offsetE + ( i * strideE ) ] = out[ 0 ];
+				A[ offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1 ] = 1.0;
+
+				// Compute Y(i+1:N-1, i)
+				dgemv( 'transpose', M - i - 1, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * ( strideA1 + strideA2 ) ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1, 0.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dgemv( 'transpose', M - i - 1, i, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1, 0.0, Y, strideY1, offsetY + ( i * strideY2 ) );
+
+				dgemv( 'no-transpose', N - i - 1, i, -1.0, Y, strideY1, strideY2, offsetY + ( ( i + 1 ) * strideY1 ), Y, strideY1, offsetY + ( i * strideY2 ), 1.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dgemv( 'transpose', M - i - 1, i + 1, 1.0, X, strideX1, strideX2, offsetX + ( ( i + 1 ) * strideX1 ), A, strideA1, offsetA + ( i * ( strideA1 + strideA2 ) ) + strideA1, 0.0, Y, strideY1, offsetY + ( i * strideY2 ) );
+
+				dgemv( 'transpose', i + 1, N - i - 1, -1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA2 ), Y, strideY1, offsetY + ( i * strideY2 ), 1.0, Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+
+				dscal( N - i - 1, TAUQ[ offsetTAUQ + ( i * strideTAUQ ) ], Y, strideY1, offsetY + ( i * ( strideY1 + strideY2 ) ) + strideY1 );
+			}
+		}
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = dlabrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlarfg.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlarfg.js
new file mode 100644
index 000000000000..04ab125dc7e7
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/dlarfg.js
@@ -0,0 +1,142 @@
+/**
+* @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 dnrm2 = require( '@stdlib/blas/base/dnrm2' ).ndarray;
+var sign = require( '@stdlib/math/base/special/copysign' );
+var dlamch = require( '@stdlib/lapack/base/dlamch' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var dscal = require( '@stdlib/blas/base/dscal' ).ndarray;
+var dlapy2 = require( '@stdlib/lapack/base/dlapy2' );
+
+
+// MAIN //
+
+/**
+* Generates a real elementary reflector `H` of order `N` such that applying `H` to a vector `[alpha; X]` zeros out `X`.
+*
+* `H` is a Householder matrix with the form:
+*
+* ```tex
+* H \cdot \begin{bmatrix} \alpha \\ x \end{bmatrix} = \begin{bmatrix} \beta \\ 0 \end{bmatrix}, \quad \text{and} \quad H^T H = I
+* ```
+*
+* where:
+*
+* -   `tau` is a scalar
+* -   `X` is a vector of length `N-1`
+* -   `beta` is a scalar value
+* -   `H` is an orthogonal matrix known as a Householder reflector.
+*
+* The reflector `H` is constructed in the form:
+*
+* ```tex
+* H = I - \tau \begin{bmatrix}1 \\ v \end{bmatrix} \begin{bmatrix}1 & v^T \end{bmatrix}
+* ```
+*
+* where:
+*
+* -   `tau` is a real scalar
+* -   `V` is a real vector of length `N-1` that defines the Householder vector
+* -   The vector `[1; V]` is the Householder direction.
+*
+* The values of `tau` and `V` are chosen so that applying `H` to the vector `[alpha; X]` results in a new vector `[beta; 0]`, i.e., only the first component remains nonzero. The reflector matrix `H` is symmetric and orthogonal, satisfying `H^T = H` and `H^T H = I`
+*
+* ## Special cases
+*
+* -   If all elements of `X` are zero, then `tau = 0` and `H = I`, the identity matrix.
+* -   Otherwise, `tau` satisfies `1 ≤ tau ≤ 2`, ensuring numerical stability in transformations.
+*
+* ## Notes
+*
+* -   `X` should have `N-1` indexed elements
+* -   The output array contains the following two elements: `alpha` and `tau`
+*
+* @private
+* @param {NonNegativeInteger} N - number of rows/columns of the elementary reflector `H`
+* @param {Float64Array} X - input vector
+* @param {integer} strideX - stride length for `X`
+* @param {NonNegativeInteger} offsetX - starting index of `X`
+* @param {Float64Array} out - output array
+* @param {integer} strideOut - stride length for `out`
+* @param {NonNegativeInteger} offsetOut - starting index of `out`
+* @returns {void}
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var X = new Float64Array( [ 2.0, 3.0, 4.0 ] );
+* var out = new Float64Array( [ 4.0, 0.0 ] );
+*
+* dlarfg( 4, X, 1, 0, out, 1, 0 );
+* // X => <Float64Array>[ ~0.19, ~0.28, ~0.37 ]
+* // out => <Float64Array>[ ~-6.7, ~1.6 ]
+*/
+function dlarfg( N, X, strideX, offsetX, out, strideOut, offsetOut ) {
+	var safemin;
+	var rsafmin;
+	var xnorm;
+	var alpha;
+	var beta;
+	var tau;
+	var knt;
+	var i;
+
+	if ( N <= 1 ) {
+		out[ offsetOut + strideOut ] = 0.0;
+		return;
+	}
+
+	xnorm = dnrm2( N - 1, X, strideX, offsetX );
+	alpha = out[ offsetOut ];
+
+	if ( xnorm === 0.0 ) {
+		out[ strideOut + offsetOut ] = 0.0;
+	} else {
+		beta = -1.0 * sign( dlapy2( alpha, xnorm ), alpha );
+		safemin = dlamch( 'safemin' ) / dlamch( 'epsilon' );
+		knt = 0;
+		if ( abs( beta ) < safemin ) {
+			rsafmin = 1.0 / safemin;
+			while ( abs( beta ) < safemin && knt < 20 ) {
+				knt += 1;
+				dscal( N-1, rsafmin, X, strideX, offsetX );
+				beta *= rsafmin;
+				alpha *= rsafmin;
+			}
+			xnorm = dnrm2( N - 1, X, strideX, offsetX );
+			beta = -1.0 * sign( dlapy2( alpha, xnorm ), alpha );
+		}
+		tau = ( beta - alpha ) / beta;
+		dscal( N-1, 1.0 / ( alpha - beta ), X, strideX, offsetX );
+		for ( i = 0; i < knt; i++ ) {
+			beta *= safemin;
+		}
+
+		out[ offsetOut ] = beta;
+		out[ strideOut + offsetOut ] = tau;
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = dlarfg;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/index.js
new file mode 100644
index 000000000000..93f041f6df81
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/index.js
@@ -0,0 +1,69 @@
+/**
+* @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 reduce a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+*
+* @module @stdlib/lapack/base/dgebrd
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dgebrd = require( '@stdlib/lapack/base/dgebrd' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*/
+
+// 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 dgebrd;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+	dgebrd = main;
+} else {
+	dgebrd = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dgebrd;
+
+// exports: { "ndarray": "dgebrd.ndarray" }
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/main.js
new file mode 100644
index 000000000000..27f41f6c8e86
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/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 dgebrd = require( './dgebrd.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( dgebrd, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = dgebrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/ndarray.js
new file mode 100644
index 000000000000..347645a2fb70
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/lib/ndarray.js
@@ -0,0 +1,107 @@
+/**
+* @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 */
+
+'use strict';
+
+// MODULES //
+
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.
+*
+* ## Notes
+*
+* -   If `M >= N`,
+*
+*     -   `B` is upper bi-diagonal form.
+*     -   The diagonal and the first superdiagonal are overwritten with the upper bi-diagonal matrix `B`.
+*     -   Elements below the diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements above the first super-diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* -   If `M < N`,
+*
+*     -   `B` is lower bi-diagonal form.
+*     -   The diagonal and the first sub-diagonal are overwritten with the lower bi-diagonal matrix `B`.
+*     -   Elements below the first sub-diagonal, with the array `TAUQ`, represent the orthogonal matrix `Q` as a product of elementary reflectors.
+*     -   Elements on and above the diagonal, with the array `TAUP`, represent the orthogonal matrix `P` as a product of elementary reflectors.
+*
+* @param {NonNegativeInteger} M - number of rows in `A`
+* @param {NonNegativeInteger} N - number of columns in `A`
+* @param {Float64Array} A - 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} D - diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)`)
+* @param {integer} strideD - stride length for `D`
+* @param {NonNegativeInteger} offsetD - starting index for `D`
+* @param {Float64Array} E - off-diagonal elements of the bi-diagonal matrix `B` (length `min(M,N)-1`)
+* @param {integer} strideE - stride length for `E`
+* @param {NonNegativeInteger} offsetE - starting index for `E`
+* @param {Float64Array} TAUQ - scalars factors of the elementary reflectors that represent the orthogonal matrix `Q` (length `NB`)
+* @param {integer} strideTAUQ - stride length for `TAUQ`
+* @param {NonNegativeInteger} offsetTAUQ - starting index for `TAUQ`
+* @param {Float64Array} TAUP - scalars factors of the elementary reflectors that represent the orthogonal matrix `P` (length `NB`)
+* @param {integer} strideTAUP - stride length for `TAUP`
+* @param {NonNegativeInteger} offsetTAUP - starting index for `TAUP`
+* @param {Float64Array} WORK - workspace array (length >= `max(1,LWORK)`)
+* @param {integer} strideWORK - stride length of `WORK`
+* @param {NonNegativeInteger} offsetWORK - starting index for `WORK`
+* @param {integer} LWORK - length of WORK array
+* @throws {RangeError} first argument must be a non-negative integer
+* @throws {RangeError} second argument must be a non-negative integer
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 4.0, -1.0, 2.5, 7.0, 8.5, -2.0 ] );
+* var D = new Float64Array( [ 0.0, 0.0 ] );
+* var E = new Float64Array( [ 0.0 ] );
+* var TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+* var TAUP = new Float64Array( [ 0.0, 0.0 ] );
+* var WORK = new Float64Array( 100 );
+*
+* dgebrd( 3, 2, A, 1, 3, 0, D, 1, 0, E, 1, 0, TAUQ, 1, 0, TAUP, 1, 0, WORK, 1, 0, 100 );
+* // A => <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+* // D => <Float64Array>[ ~-4.822, ~-10.78 ]
+* // E => <Float64Array>[ ~-3.007 ]
+* // TAUQ => <Float64Array>[ ~1.83, ~1.894 ]
+* // TAUP => <Float64Array>[ 0.0, 0.0 ]
+* // WORK[ 0 ] => 3.0
+*/
+function dgebrd( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK, LWORK ) { // eslint-disable-line stdlib/jsdoc-doctest-decimal-point, max-params
+	if ( M < 0 ) {
+		throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', M ) );
+	}
+	if ( N < 0 ) {
+		throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+	}
+	return base( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK, LWORK );
+}
+
+
+// EXPORTS //
+
+module.exports = dgebrd;
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/package.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/package.json
new file mode 100644
index 000000000000..04ad2a8e1146
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/package.json
@@ -0,0 +1,69 @@
+{
+  "name": "@stdlib/lapack/base/dgebrd",
+  "version": "0.0.0",
+  "description": "LAPACK routine to reduce a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B`.",
+  "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",
+    "dgebrd",
+    "reflector",
+    "linear",
+    "algebra",
+    "subroutines",
+    "array",
+    "ndarray",
+    "matrix",
+    "float64",
+    "double",
+    "float64array"
+  ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_col_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_col_maj.json
new file mode 100644
index 000000000000..29608f252da5
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_col_maj.json
@@ -0,0 +1,68151 @@
+{
+  "order": "column-major",
+  "M": 129,
+  "N": 129,
+  "A": [
+    0.11,
+    0.21,
+    0.31,
+    0.41,
+    0.51,
+    0.61,
+    0.71,
+    0.81,
+    0.91,
+    1.01,
+    1.11,
+    1.21,
+    1.31,
+    1.41,
+    1.51,
+    1.61,
+    1.71,
+    1.81,
+    1.91,
+    2.01,
+    2.11,
+    2.21,
+    2.31,
+    2.41,
+    2.51,
+    2.61,
+    2.71,
+    2.81,
+    2.91,
+    3.01,
+    3.11,
+    3.21,
+    3.31,
+    3.41,
+    3.51,
+    3.61,
+    3.71,
+    3.81,
+    3.91,
+    4.01,
+    4.11,
+    4.21,
+    4.31,
+    4.41,
+    4.51,
+    4.61,
+    4.71,
+    4.81,
+    4.91,
+    5.01,
+    5.11,
+    5.21,
+    5.31,
+    5.41,
+    5.51,
+    5.61,
+    5.71,
+    5.81,
+    5.91,
+    6.01,
+    6.11,
+    6.21,
+    6.31,
+    6.41,
+    6.51,
+    6.61,
+    6.71,
+    6.81,
+    6.91,
+    7.01,
+    7.11,
+    7.21,
+    7.31,
+    7.41,
+    7.51,
+    7.61,
+    7.71,
+    7.81,
+    7.91,
+    8.01,
+    8.11,
+    8.21,
+    8.31,
+    8.41,
+    8.51,
+    8.61,
+    8.71,
+    8.81,
+    8.91,
+    9.01,
+    9.11,
+    9.21,
+    9.31,
+    9.41,
+    9.51,
+    9.61,
+    9.71,
+    9.81,
+    9.91,
+    10.01,
+    10.11,
+    10.21,
+    10.31,
+    10.41,
+    10.51,
+    10.61,
+    10.71,
+    10.81,
+    10.91,
+    11.01,
+    11.11,
+    11.21,
+    11.31,
+    11.41,
+    11.51,
+    11.61,
+    11.71,
+    11.81,
+    11.91,
+    12.01,
+    12.11,
+    12.21,
+    12.31,
+    12.41,
+    12.51,
+    12.61,
+    12.71,
+    12.81,
+    12.91,
+    0.12,
+    0.22,
+    0.32,
+    0.42,
+    0.52,
+    0.62,
+    0.72,
+    0.82,
+    0.92,
+    1.02,
+    1.12,
+    1.22,
+    1.32,
+    1.42,
+    1.52,
+    1.62,
+    1.72,
+    1.82,
+    1.92,
+    2.02,
+    2.12,
+    2.22,
+    2.32,
+    2.42,
+    2.52,
+    2.62,
+    2.72,
+    2.82,
+    2.92,
+    3.02,
+    3.12,
+    3.22,
+    3.32,
+    3.42,
+    3.52,
+    3.62,
+    3.72,
+    3.82,
+    3.92,
+    4.02,
+    4.12,
+    4.22,
+    4.32,
+    4.42,
+    4.52,
+    4.62,
+    4.72,
+    4.82,
+    4.92,
+    5.02,
+    5.12,
+    5.22,
+    5.32,
+    5.42,
+    5.52,
+    5.62,
+    5.72,
+    5.82,
+    5.92,
+    6.02,
+    6.12,
+    6.22,
+    6.32,
+    6.42,
+    6.52,
+    6.62,
+    6.72,
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+    6.92,
+    7.02,
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+    7.22,
+    7.32,
+    7.42,
+    7.52,
+    7.62,
+    7.72,
+    7.82,
+    7.92,
+    8.02,
+    8.12,
+    8.22,
+    8.32,
+    8.42,
+    8.52,
+    8.62,
+    8.72,
+    8.82,
+    8.92,
+    9.02,
+    9.12,
+    9.22,
+    9.32,
+    9.42,
+    9.52,
+    9.62,
+    9.72,
+    9.82,
+    9.92,
+    10.02,
+    10.12,
+    10.22,
+    10.32,
+    10.42,
+    10.52,
+    10.62,
+    10.72,
+    10.82,
+    10.92,
+    11.02,
+    11.12,
+    11.22,
+    11.32,
+    11.42,
+    11.52,
+    11.62,
+    11.72,
+    11.82,
+    11.92,
+    12.02,
+    12.12,
+    12.22,
+    12.32,
+    12.42,
+    12.52,
+    12.62,
+    12.72,
+    12.82,
+    12.92,
+    0.13,
+    0.23,
+    0.33,
+    0.43,
+    0.53,
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+    0.73,
+    0.83,
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+    1.03,
+    1.13,
+    1.23,
+    1.33,
+    1.43,
+    1.53,
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+    1.73,
+    1.83,
+    1.93,
+    2.03,
+    2.13,
+    2.23,
+    2.33,
+    2.43,
+    2.53,
+    2.63,
+    2.73,
+    2.83,
+    2.93,
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+    3.23,
+    3.33,
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+    8.33,
+    8.43,
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+    9.13,
+    9.23,
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+    9.53,
+    9.63,
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+    9.83,
+    9.93,
+    10.03,
+    10.13,
+    10.23,
+    10.33,
+    10.43,
+    10.53,
+    10.63,
+    10.73,
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+    10.93,
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+    11.13,
+    11.23,
+    11.33,
+    11.43,
+    11.53,
+    11.63,
+    11.73,
+    11.83,
+    11.93,
+    12.03,
+    12.13,
+    12.23,
+    12.33,
+    12.43,
+    12.53,
+    12.63,
+    12.73,
+    12.83,
+    12.93,
+    0.14,
+    0.24,
+    0.34,
+    0.44,
+    0.54,
+    0.64,
+    0.74,
+    0.84,
+    0.94,
+    1.04,
+    1.14,
+    1.24,
+    1.34,
+    1.44,
+    1.54,
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+    1.74,
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+    1.94,
+    2.04,
+    2.14,
+    2.24,
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+    2.74,
+    2.84,
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+    6.54,
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+    6.74,
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+    7.44,
+    7.54,
+    7.64,
+    7.74,
+    7.84,
+    7.94,
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+    8.7,
+    8.8,
+    8.9,
+    9,
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+    9.6,
+    9.7,
+    9.8,
+    9.9,
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+    11.7,
+    11.8,
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+    12,
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+    5.8,
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+    6.7,
+    6.8,
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+    7.5,
+    7.6,
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+    8.3,
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+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
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+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
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+    10.4,
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+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
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+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
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+    13,
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+    2.8,
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+    4.8,
+    4.9,
+    5,
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+    5.3,
+    5.4,
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+    5.6,
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+    5.8,
+    5.9,
+    6,
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+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
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+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
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+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
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+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_row_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_row_maj.json
new file mode 100644
index 000000000000..80fbf8b3ca79
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/blocked_row_maj.json
@@ -0,0 +1,68151 @@
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/col_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/col_maj.json
new file mode 100644
index 000000000000..a19a573d2d9a
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/col_maj.json
@@ -0,0 +1,60 @@
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+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_col_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_col_maj.json
new file mode 100644
index 000000000000..bde5d3938d46
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_col_maj.json
@@ -0,0 +1,68151 @@
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+    0.5,
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+    0.8,
+    0.9,
+    1,
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+    1.3,
+    1.4,
+    1.5,
+    1.6,
+    1.7,
+    1.8,
+    1.9,
+    2,
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+    2.3,
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+    2.6,
+    2.7,
+    2.8,
+    2.9,
+    3,
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+    3.3,
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+    3.8,
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+    4,
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+    4.6,
+    4.7,
+    4.8,
+    4.9,
+    5,
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+    5.3,
+    5.4,
+    5.5,
+    5.6,
+    5.7,
+    5.8,
+    5.9,
+    6,
+    6.1,
+    6.2,
+    6.3,
+    6.4,
+    6.5,
+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
+    7.1,
+    7.2,
+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
+    10.2,
+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
+    11.1,
+    11.2,
+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
+    12.2,
+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
+    13.2,
+    13.3,
+    0.51,
+    0.61,
+    0.71,
+    0.81,
+    0.91,
+    1.01,
+    1.11,
+    1.21,
+    1.31,
+    1.41,
+    1.51,
+    1.61,
+    1.71,
+    1.81,
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+    2.21,
+    2.31,
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+    2.51,
+    2.61,
+    2.71,
+    2.81,
+    2.91,
+    3.01,
+    3.11,
+    3.21,
+    3.31,
+    3.41,
+    3.51,
+    3.61,
+    3.71,
+    3.81,
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+    0.9,
+    1,
+    1.1,
+    1.2,
+    1.3,
+    1.4,
+    1.5,
+    1.6,
+    1.7,
+    1.8,
+    1.9,
+    2,
+    2.1,
+    2.2,
+    2.3,
+    2.4,
+    2.5,
+    2.6,
+    2.7,
+    2.8,
+    2.9,
+    3,
+    3.1,
+    3.2,
+    3.3,
+    3.4,
+    3.5,
+    3.6,
+    3.7,
+    3.8,
+    3.9,
+    4,
+    4.1,
+    4.2,
+    4.3,
+    4.4,
+    4.5,
+    4.6,
+    4.7,
+    4.8,
+    4.9,
+    5,
+    5.1,
+    5.2,
+    5.3,
+    5.4,
+    5.5,
+    5.6,
+    5.7,
+    5.8,
+    5.9,
+    6,
+    6.1,
+    6.2,
+    6.3,
+    6.4,
+    6.5,
+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
+    7.1,
+    7.2,
+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
+    10.2,
+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
+    11.1,
+    11.2,
+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
+    12.2,
+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
+    13.2,
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+    6.8,
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+    7,
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+    7.4,
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+    7.8,
+    7.9,
+    8,
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+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_row_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_row_maj.json
new file mode 100644
index 000000000000..bf1b913b8064
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/insuff_lwork_blocked_row_maj.json
@@ -0,0 +1,68151 @@
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_col_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_col_maj.json
new file mode 100644
index 000000000000..1932af9b621b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_col_maj.json
@@ -0,0 +1,68667 @@
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+    2.2,
+    2.3,
+    2.4,
+    2.5,
+    2.6,
+    2.7,
+    2.8,
+    2.9,
+    3,
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+    3.8,
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+    4.6,
+    4.7,
+    4.8,
+    4.9,
+    5,
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+    5.3,
+    5.4,
+    5.5,
+    5.6,
+    5.7,
+    5.8,
+    5.9,
+    6,
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+    6.3,
+    6.4,
+    6.5,
+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
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+    7.2,
+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
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+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
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+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
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+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
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+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
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+    7,
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+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
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+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
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+    10.3,
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+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
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+    12.4,
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+    12.6,
+    12.7,
+    12.8,
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+    13,
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+    7,
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+    7.6,
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+    7.8,
+    7.9,
+    8,
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+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
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+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
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+    10.3,
+    10.4,
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+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
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+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
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+    2,
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+    2.3,
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+    2.5,
+    2.6,
+    2.7,
+    2.8,
+    2.9,
+    3,
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+    3.8,
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+    4.8,
+    4.9,
+    5,
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+    5.3,
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+    5.5,
+    5.6,
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+    5.8,
+    5.9,
+    6,
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+    6.3,
+    6.4,
+    6.5,
+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
+    7.1,
+    7.2,
+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
+    10.2,
+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
+    11.1,
+    11.2,
+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
+    12.2,
+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
+    13.2,
+    13.3,
+    13.4,
+    13.5,
+    13.6,
+    13.7,
+    13.8,
+    13.9,
+    14,
+    14.1,
+    1.31,
+    1.41,
+    1.51,
+    1.61,
+    1.71,
+    1.81,
+    1.91,
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_row_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_row_maj.json
new file mode 100644
index 000000000000..94a01a5fbb9e
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/m_lt_n_blocked_row_maj.json
@@ -0,0 +1,68667 @@
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_col_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_col_maj.json
new file mode 100644
index 000000000000..4d386d5e4fcb
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_col_maj.json
@@ -0,0 +1,68151 @@
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+    1.8,
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+    6.8,
+    6.9,
+    7,
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+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
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+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
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+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
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+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
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+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
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+    6.8,
+    6.9,
+    7,
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+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
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+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
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+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
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+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
+    12.2,
+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
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+    13.3,
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+    1.3,
+    1.4,
+    1.5,
+    1.6,
+    1.7,
+    1.8,
+    1.9,
+    2,
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+    2.2,
+    2.3,
+    2.4,
+    2.5,
+    2.6,
+    2.7,
+    2.8,
+    2.9,
+    3,
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+    3.3,
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+    3.6,
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+    3.8,
+    3.9,
+    4,
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+    4.3,
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+    4.5,
+    4.6,
+    4.7,
+    4.8,
+    4.9,
+    5,
+    5.1,
+    5.2,
+    5.3,
+    5.4,
+    5.5,
+    5.6,
+    5.7,
+    5.8,
+    5.9,
+    6,
+    6.1,
+    6.2,
+    6.3,
+    6.4,
+    6.5,
+    6.6,
+    6.7,
+    6.8,
+    6.9,
+    7,
+    7.1,
+    7.2,
+    7.3,
+    7.4,
+    7.5,
+    7.6,
+    7.7,
+    7.8,
+    7.9,
+    8,
+    8.1,
+    8.2,
+    8.3,
+    8.4,
+    8.5,
+    8.6,
+    8.7,
+    8.8,
+    8.9,
+    9,
+    9.1,
+    9.2,
+    9.3,
+    9.4,
+    9.5,
+    9.6,
+    9.7,
+    9.8,
+    9.9,
+    10,
+    10.1,
+    10.2,
+    10.3,
+    10.4,
+    10.5,
+    10.6,
+    10.7,
+    10.8,
+    10.9,
+    11,
+    11.1,
+    11.2,
+    11.3,
+    11.4,
+    11.5,
+    11.6,
+    11.7,
+    11.8,
+    11.9,
+    12,
+    12.1,
+    12.2,
+    12.3,
+    12.4,
+    12.5,
+    12.6,
+    12.7,
+    12.8,
+    12.9,
+    13,
+    13.1,
+    13.2,
+    13.3,
+    13.4,
+    13.5,
+    13.6,
+    13.7,
+    13.8,
+    13.9,
+    1.11,
+    1.21,
+    1.31,
+    1.41,
+    1.51,
+    1.61,
+    1.71,
+    1.81,
+    1.91,
+    2.01,
+    2.11,
+    2.21,
+    2.31,
+    2.41,
+    2.51,
+    2.61,
+    2.71,
+    2.81,
+    2.91,
+    3.01,
+    3.11,
+    3.21,
+    3.31,
+    3.41,
+    3.51,
+    3.61,
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diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_row_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_row_maj.json
new file mode 100644
index 000000000000..02828ba8c5ec
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/nb1_blocked_row_maj.json
@@ -0,0 +1,68151 @@
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+    1.0515584994031157,
+    1.044826791235759,
+    1.1077634297251329,
+    1.067599460557316,
+    1.0591424401083709,
+    1.1360836735430915,
+    1.2503424254306599,
+    1.014423789288865,
+    1.0295591533316932,
+    1.170517479020129,
+    1.1764219226690071,
+    1.1828095983035898,
+    1.0969432272146855,
+    1.0113803033047526,
+    1.2072308735333503,
+    1.112533922651847,
+    1.2198326768284404,
+    1.0675368376737193,
+    1.0393336484366176,
+    1.025043938676961,
+    1.0352735773989075,
+    1.0714430552794076,
+    1.069118867821995,
+    1.1656120741157534,
+    1.0510689624881338,
+    1.0133878783633499,
+    1.0884415856862195,
+    1.0109864839972005,
+    1.0053611463314531,
+    1.123689855043793,
+    1.0724649232072416,
+    1.2343327620962437,
+    1.1275867029143398,
+    1.07877656765325,
+    1.1308360074604757,
+    1.0471778673477996,
+    1.1764518485955782,
+    1.297146021368182,
+    1.1579746295322546,
+    1.1099789838404717,
+    1.0666709787553559,
+    1.2403955165985547,
+    1.1359902145652672,
+    1.1145998345984647,
+    1.0566278619052878,
+    1.024039019209601,
+    1.0128032109629779,
+    1.2764190721949207,
+    1.2575966473461209,
+    1.0125714216542716,
+    1.1845643259300829,
+    1.0366773395052826,
+    1.16451393442295,
+    1.3524887965563752,
+    1.0722634960293558,
+    1.245317971618133,
+    1.0732245781186238,
+    1.0275546707672165,
+    1.3364964867542901,
+    1.0141904548719756,
+    1.0277180452477594,
+    1.1424466115529424,
+    1.1237816268284782,
+    1.127127018074961,
+    1.033438815024222,
+    1.1411322956342937,
+    1.176879184658323,
+    1.163762034440872,
+    1.486668095156324,
+    1.0961372983145201,
+    1.3685164122581315,
+    1.1618847184226033,
+    1.4315372070788415,
+    1.3767685853491791,
+    1.3764274795823546,
+    1.1916014321511001,
+    1.2542940986498576,
+    1.2032695732114351,
+    1.2613756094804047,
+    1.0220708427422402,
+    1.2112365293627876,
+    1.072332860566934,
+    1.3518945707842323,
+    1.233218172639105,
+    1.0200650729849796,
+    1.342553590909868,
+    1.174659391956885,
+    1.499858071277005,
+    1.1247055296245245,
+    1.592583709203863,
+    1.5992687792170213,
+    1.8091818129727941,
+    0,
+    0
+  ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/row_maj.json b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/row_maj.json
new file mode 100644
index 000000000000..14f1a1fa6187
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/fixtures/row_maj.json
@@ -0,0 +1,67 @@
+{
+  "order": "row-major",
+  "M": 3,
+  "N": 2,
+  "A": [
+    4, 7,
+    -1, 8.5,
+    2.5, -2
+  ],
+  "strideA1": 2,
+  "strideA2": 1,
+  "offsetA": 0,
+  "LDA": 2,
+  "A_mat": [
+    [ 4, 7 ],
+    [ -1, 8.5 ],
+    [ 2.5, -2 ]
+  ],
+  "D": [
+    0,
+    0
+  ],
+  "strideD": 1,
+  "offsetD": 0,
+  "E": [
+    0
+  ],
+  "strideE": 1,
+  "offsetE": 0,
+  "TAUQ": [
+    0,
+    0
+  ],
+  "strideTAUQ": 1,
+  "offsetTAUQ": 0,
+  "TAUP": [
+    0,
+    0
+  ],
+  "strideTAUP": 1,
+  "offsetTAUP": 0,
+  "A_out": [
+    -4.8218253804964775, -3.0071599147182333,
+    -0.11335522489606586, -10.779934566003258,
+    0.28338806224016466, -0.23688835909046416
+  ],
+  "A_out_mat": [
+    [ -4.8218253804964775, -3.0071599147182333 ],
+    [ -0.11335522489606586, -10.779934566003258 ],
+    [ 0.28338806224016466, -0.23688835909046416 ]
+  ],
+  "D_out": [
+    -4.8218253804964775,
+    -10.779934566003258
+  ],
+  "E_out": [
+    -3.0071599147182333
+  ],
+  "TAUQ_out": [
+    1.8295613557843402,
+    1.8937312006593927
+  ],
+  "TAUP_out": [
+    0,
+    0
+  ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/test.dgebrd.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/test.dgebrd.js
new file mode 100644
index 000000000000..7ec99bc78203
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/test.dgebrd.js
@@ -0,0 +1,543 @@
+/**
+* @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 dgebrd = require( './../lib/dgebrd.js' );
+
+
+// FIXTURES //
+
+var COL_MAJ = require( './fixtures/col_maj.json' );
+var BLOCKED_COL_MAJ = require( './fixtures/blocked_col_maj.json' );
+var BLOCKED_M_LT_N_COL_MAJ = require( './fixtures/m_lt_n_blocked_col_maj.json' );
+var BLOCKED_INSUFF_LWORK_COL_MAJ = require( './fixtures/insuff_lwork_blocked_col_maj.json' );
+var NB1_BLOCKED_COL_MAJ = require( './fixtures/nb1_blocked_col_maj.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof dgebrd, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 11', function test( t ) {
+	t.strictEqual( dgebrd.length, 11, '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 TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+	var i;
+
+	A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+	D = new Float64Array( [ 0.0, 0.0 ] );
+	E = new Float64Array( [ 0.0 ] );
+	TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	WORK = new Float64Array( 100 );
+
+	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() {
+			dgebrd( value, 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a second argument which is smaller than 0', function test( t ) {
+	var values;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+	var i;
+
+	A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+	D = new Float64Array( [ 0.0, 0.0 ] );
+	E = new Float64Array( [ 0.0 ] );
+	TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	WORK = new Float64Array( 100 );
+
+	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() {
+			dgebrd( 'column-major', value, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a third argument which is smaller than 0', function test( t ) {
+	var values;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+	var i;
+
+	A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+	D = new Float64Array( [ 0.0, 0.0 ] );
+	E = new Float64Array( [ 0.0 ] );
+	TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	WORK = new Float64Array( 100 );
+
+	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() {
+			dgebrd( 'column-major', 3, value, A, 3, D, E, TAUQ, TAUP, WORK, 100 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided an invalid LDA value (row-major)', function test( t ) {
+	var values;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+	var i;
+
+	A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+	D = new Float64Array( [ 0.0, 0.0 ] );
+	E = new Float64Array( [ 0.0 ] );
+	TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	WORK = new Float64Array( 100 );
+
+	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() {
+			dgebrd( 'row-major', 3, 2, A, value, D, E, TAUQ, TAUP, WORK, 100 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided an invalid LDA value (column-major)', function test( t ) {
+	var values;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+	var i;
+
+	A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+	D = new Float64Array( [ 0.0, 0.0 ] );
+	E = new Float64Array( [ 0.0 ] );
+	TAUQ = new Float64Array( [ 0.0, 0.0 ] );
+	TAUP = new Float64Array( [ 0.0, 0.0 ] );
+	WORK = new Float64Array( 100 );
+
+	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() {
+			dgebrd( 'column-major', 3, 2, A, value, D, E, TAUQ, TAUP, WORK, 100 );
+		};
+	}
+});
+
+tape( 'the function quick returns when `M` or `N` is equal to 0', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 100 );
+
+	expectedA = new Float64Array( data.A );
+	expectedD = new Float64Array( data.D );
+	expectedE = new Float64Array( data.E );
+	expectedTAUQ = new Float64Array( data.TAUQ );
+	expectedTAUP = new Float64Array( data.TAUP );
+
+	dgebrd( data.order, 0, 0, A, data.LDA, D, E, TAUQ, TAUP, WORK, 100 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function quick returns when `LWORK` is equal to -1', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 100 );
+
+	expectedA = new Float64Array( data.A );
+	expectedD = new Float64Array( data.D );
+	expectedE = new Float64Array( data.E );
+	expectedTAUQ = new Float64Array( data.TAUQ );
+	expectedTAUP = new Float64Array( data.TAUP );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, -1 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function quick returns when `LWORK` is smaller than `max(M,N)`', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 100 );
+
+	expectedA = new Float64Array( data.A );
+	expectedD = new Float64Array( data.D );
+	expectedE = new Float64Array( data.E );
+	expectedTAUQ = new Float64Array( data.TAUQ );
+	expectedTAUP = new Float64Array( data.TAUP );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 2 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B` (column major)', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 100 );
+
+	expectedA = new Float64Array( data.A_out );
+	expectedD = new Float64Array( data.D_out );
+	expectedE = new Float64Array( data.E_out );
+	expectedTAUQ = new Float64Array( data.TAUQ_out );
+	expectedTAUP = new Float64Array( data.TAUP_out );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 100 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.strictEqual( WORK[ 0 ], 3.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B` (blocked, column major)', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = BLOCKED_COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 8256 );
+
+	expectedA = new Float64Array( data.A_out );
+	expectedD = new Float64Array( data.D_out );
+	expectedE = new Float64Array( data.E_out );
+	expectedTAUQ = new Float64Array( data.TAUQ_out );
+	expectedTAUP = new Float64Array( data.TAUP_out );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 8256 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.strictEqual( WORK[ 0 ], 8256.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B` (blocked, column major, M < N)', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = BLOCKED_M_LT_N_COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 20000 );
+
+	expectedA = new Float64Array( data.A_out );
+	expectedD = new Float64Array( data.D_out );
+	expectedE = new Float64Array( data.E_out );
+	expectedTAUQ = new Float64Array( data.TAUQ_out );
+	expectedTAUP = new Float64Array( data.TAUP_out );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 20000 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.strictEqual( WORK[ 0 ], 8288.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B` (blocked, column major, insufficient LWORK)', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = BLOCKED_INSUFF_LWORK_COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 600 );
+
+	expectedA = new Float64Array( data.A_out );
+	expectedD = new Float64Array( data.D_out );
+	expectedE = new Float64Array( data.E_out );
+	expectedTAUQ = new Float64Array( data.TAUQ_out );
+	expectedTAUP = new Float64Array( data.TAUP_out );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 600 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.strictEqual( WORK[ 0 ], 8256.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function reduces a general real `M-by-N` matrix `A` to upper or lower bi-diagonal form `B` by an orthogonal transformation `Q**T * A * P = B` (blocked, column major, LWORK too small for blocking)', function test( t ) {
+	var expectedTAUQ;
+	var expectedTAUP;
+	var expectedA;
+	var expectedD;
+	var expectedE;
+	var data;
+	var TAUP;
+	var TAUQ;
+	var WORK;
+	var A;
+	var D;
+	var E;
+
+	data = NB1_BLOCKED_COL_MAJ;
+
+	A = new Float64Array( data.A );
+	D = new Float64Array( data.D );
+	E = new Float64Array( data.E );
+	TAUQ = new Float64Array( data.TAUQ );
+	TAUP = new Float64Array( data.TAUP );
+	WORK = new Float64Array( 200 );
+
+	expectedA = new Float64Array( data.A_out );
+	expectedD = new Float64Array( data.D_out );
+	expectedE = new Float64Array( data.E_out );
+	expectedTAUQ = new Float64Array( data.TAUQ_out );
+	expectedTAUP = new Float64Array( data.TAUP_out );
+
+	dgebrd( data.order, data.M, data.N, A, data.LDA, D, E, TAUQ, TAUP, WORK, 200 );
+	t.strictEqual( isAlmostEqual( A, expectedA, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( D, expectedD, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( E, expectedE, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUQ, expectedTAUQ, 1 ), true, 'returns expected value' );
+	t.strictEqual( isAlmostEqual( TAUP, expectedTAUP, 1 ), true, 'returns expected value' );
+	t.strictEqual( WORK[ 0 ], 8256.0, 'returns expected value' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/test/test.js b/lib/node_modules/@stdlib/lapack/base/dgebrd/test/test.js
new file mode 100644
index 000000000000..f142c211a9ac
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/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 dgebrd = 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 dgebrd, '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 dgebrd.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 dgebrd = proxyquire( './../lib', {
+		'@stdlib/utils/try-require': tryRequire
+	});
+
+	t.strictEqual( dgebrd, 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 dgebrd;
+	var main;
+
+	main = require( './../lib/dgebrd.js' );
+
+	dgebrd = proxyquire( './../lib', {
+		'@stdlib/utils/try-require': tryRequire
+	});
+
+	t.strictEqual( dgebrd, main, 'returns expected value' );
+	t.end();
+
+	function tryRequire() {
+		return new Error( 'Cannot find module' );
+	}
+});

From 7739e17e3af1261f53b51bc113779ca258812d86 Mon Sep 17 00:00:00 2001
From: Prajjwal Bajpai <prajjwal8166@gmail.com>
Date: Sun, 5 Jul 2026 22:10:13 +0530
Subject: [PATCH 2/2] docs: add repl.txt

---
 .../@stdlib/lapack/base/dgebrd/docs/repl.txt  | 202 ++++++++++++++++++
 1 file changed, 202 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/lapack/base/dgebrd/docs/repl.txt

diff --git a/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/repl.txt
new file mode 100644
index 000000000000..e6894694fff6
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dgebrd/docs/repl.txt
@@ -0,0 +1,202 @@
+
+{{alias}}( order, M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK )
+    Reduces a general real `M-by-N` matrix `A` to upper or lower bidiagonal
+    form `B` by an orthogonal transformation `Q**T * A * P = B`.
+
+    `A` is overwritten by the elements of the bidiagonal matrix `B` and the
+    Householder reflectors.
+
+    Indexing is relative to the first index. To introduce an offset, use typed
+    array views.
+
+    The function mutates `A`, `D`, `E`, `TAUQ`, `TAUP`, and `WORK`.
+
+    Parameters
+    ----------
+    order: string
+        Storage layout. Must be either 'row-major' or 'column-major'.
+
+    M: integer
+        Number of rows in `A`.
+
+    N: integer
+        Number of columns in `A`.
+
+    A: Float64Array
+        Input matrix. `A` is overwritten by the elements of the bidiagonal
+        matrix `B` and the Householder reflectors.
+
+    LDA: integer
+        Stride of the first dimension of `A` (a.k.a., leading dimension of
+        the matrix `A`).
+
+    D: Float64Array
+        The diagonal elements of the bidiagonal matrix `B`. Should have
+        `min(M,N)` indexed elements.
+
+    E: Float64Array
+        The off-diagonal elements of the bidiagonal matrix `B`. Should have
+        `min(M,N)-1` indexed elements.
+
+    TAUQ: Float64Array
+        The scalar factors of the elementary reflectors that represent the
+        orthogonal matrix `Q`. Should have `min(M,N)` indexed elements.
+
+    TAUP: Float64Array
+        The scalar factors of the elementary reflectors that represent the
+        orthogonal matrix `P`. Should have `min(M,N)` indexed elements.
+
+    WORK: Float64Array
+        Workspace array.
+
+    LWORK: integer
+        Length of `WORK`.
+
+    Returns
+    -------
+    info: integer
+        Status code. The status code indicates the following conditions:
+
+        - if equal to zero, then the reduction was successful.
+        - if less than zero, then the value of the `-info`th argument had an
+        illegal value.
+
+    Examples
+    --------
+    > var A = new {{alias:@stdlib/array/float64}}([4.0,-1.0,2.5,7.0,8.5,-2.0]);
+    > var D = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var E = new {{alias:@stdlib/array/float64}}( [ 0.0 ] );
+    > var TAUQ = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var TAUP = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var WORK = new {{alias:@stdlib/array/float64}}( 100 );
+    > {{alias}}( 'column-major', 3, 2, A, 3, D, E, TAUQ, TAUP, WORK, 100 )
+    0
+    > A
+    <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+    > D
+    <Float64Array>[ ~-4.822, ~-10.78 ]
+    > E
+    <Float64Array>[ ~-3.007 ]
+    > TAUQ
+    <Float64Array>[ ~1.83, ~1.894 ]
+    > TAUP
+    <Float64Array>[ 0.0, 0.0 ]
+    > WORK[ 0 ]
+    3.0
+
+
+{{alias}}.ndarray( M, N, A, strideA1, strideA2, offsetA, D, strideD, offsetD, E, strideE, offsetE, TAUQ, strideTAUQ, offsetTAUQ, TAUP, strideTAUP, offsetTAUP, WORK, strideWORK, offsetWORK, LWORK )
+    Reduces a general real `M-by-N` matrix `A` to upper or lower bidiagonal
+    form `B` by an orthogonal transformation `Q**T * A * P = B` using
+    alternative indexing semantics.
+
+    While typed array views mandate a view offset based on the underlying
+    buffer, the offset parameters support indexing semantics based on starting
+    indices.
+
+    The function mutates `A`, `D`, `E`, `TAUQ`, `TAUP`, and `WORK`.
+
+    Parameters
+    ----------
+    M: integer
+        Number of rows in `A`.
+
+    N: integer
+        Number of columns in `A`.
+
+    A: Float64Array
+        Input matrix.
+
+    strideA1: integer
+        Stride of the first dimension of `A`.
+
+    strideA2: integer
+        Stride of the second dimension of `A`.
+
+    offsetA: integer
+        Starting index for `A`.
+
+    D: Float64Array
+        The diagonal elements of the bidiagonal matrix `B`.
+
+    strideD: integer
+        Stride length for `D`.
+
+    offsetD: integer
+        Starting index for `D`.
+
+    E: Float64Array
+        The off-diagonal elements of the bidiagonal matrix `B`.
+
+    strideE: integer
+        Stride length for `E`.
+
+    offsetE: integer
+        Starting index for `E`.
+
+    TAUQ: Float64Array
+        The scalar factors of the elementary reflectors that represent the
+        orthogonal matrix `Q`.
+
+    strideTAUQ: integer
+        Stride length for `TAUQ`.
+
+    offsetTAUQ: integer
+        Starting index for `TAUQ`.
+
+    TAUP: Float64Array
+        The scalar factors of the elementary reflectors that represent the
+        orthogonal matrix `P`.
+
+    strideTAUP: integer
+        Stride length for `TAUP`.
+
+    offsetTAUP: integer
+        Starting index for `TAUP`.
+
+    WORK: Float64Array
+        Workspace array.
+
+    strideWORK: integer
+        Stride length for `WORK`.
+
+    offsetWORK: integer
+        Starting index for `WORK`.
+
+    LWORK: integer
+        Length of `WORK`.
+
+    Returns
+    -------
+    info: integer
+        Status code. The status code indicates the following conditions:
+
+        - if equal to zero, then the reduction was successful.
+        - if less than zero, then the value of the `-info`th argument had an
+        illegal value.
+
+    Examples
+    --------
+    > var A = new {{alias:@stdlib/array/float64}}([4.0,-1.0,2.5,7.0,8.5,-2.0]);
+    > var D = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var E = new {{alias:@stdlib/array/float64}}( [ 0.0 ] );
+    > var TAUQ = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var TAUP = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0 ] );
+    > var WORK = new {{alias:@stdlib/array/float64}}( 100 );
+    > {{alias}}.ndarray(3,2,A,1,3,0,D,1,0,E,1,0,TAUQ,1,0,TAUP,1,0,WORK,1,0,100)
+    0
+    > A
+    <Float64Array>[ ~-4.822, ~-0.113, ~0.283, ~-3.007, ~-10.78, ~-0.237 ]
+    > D
+    <Float64Array>[ ~-4.822, ~-10.78 ]
+    > E
+    <Float64Array>[ ~-3.007 ]
+    > TAUQ
+    <Float64Array>[ ~1.83, ~1.894 ]
+    > TAUP
+    <Float64Array>[ 0.0, 0.0 ]
+    > WORK[ 0 ]
+    3.0
+
+    See Also
+    --------