diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/NOTICE b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/NOTICE
new file mode 100644
index 000000000000..8d59524fac5f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/NOTICE
@@ -0,0 +1,48 @@
+Copyright (c) 1992-2025 The University of Tennessee and The University
+ of Tennessee Research Foundation. All rights
+ reserved.
+Copyright (c) 2000-2025 The University of California Berkeley. All
+ rights reserved.
+Copyright (c) 2006-2025 The University of Colorado Denver. All rights
+ reserved.
+
+$COPYRIGHT$
+
+Additional copyrights may follow
+
+$HEADER$
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+- Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+- Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer listed
+ in this license in the documentation and/or other materials
+ provided with the distribution.
+
+- Neither the name of the copyright holders nor the names of its
+ contributors may be used to endorse or promote products derived from
+ this software without specific prior written permission.
+
+The copyright holders provide no reassurances that the source code
+provided does not infringe any patent, copyright, or any other
+intellectual property rights of third parties. The copyright holders
+disclaim any liability to any recipient for claims brought against
+recipient by any third party for infringement of that parties
+intellectual property rights.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/README.md b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/README.md
new file mode 100644
index 000000000000..75c9d75c00aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/README.md
@@ -0,0 +1,169 @@
+
+
+
+# dlaPorpvgrw
+
+> Compute the reciprocal Cholesky pivot-growth factor.
+
+The routine inspects the selected stored triangle of the leading `NCOLS`-by-`NCOLS` square prefix of an original matrix `A` and a supplied Cholesky factor `AF`. For each stored column, it computes maximum absolute entries of `A` and `AF`, then returns the minimum of their ratios and `1`. Columns with zero factor maxima are ignored. Both inputs are read-only; no factorization or symmetric completion is performed.
+
+
+
+## Usage
+
+```javascript
+var dlaPorpvgrw = require( '@stdlib/lapack/base/dla-porpvgrw' );
+```
+
+#### dlaPorpvgrw( order, uplo, NCOLS, A, LDA, AF, LDAF, WORK )
+
+Computes reciprocal pivot growth for finite entries in a supplied original matrix and triangular factor.
+
+- `order`: `'row-major'` or `'column-major'` storage.
+- `uplo`: `'upper'` or `'lower'` stored triangle.
+- `NCOLS`: nonnegative safe integer specifying both dimensions of the inspected leading prefix.
+- `A`: original `Float64Array` matrix storage.
+- `LDA`: safe integer leading dimension of `A`, at least `NCOLS` for positive prefixes.
+- `AF`: `Float64Array` containing the supplied upper or lower Cholesky factor, or a corresponding leading factor prefix.
+- `LDAF`: independent safe integer leading dimension of `AF`, at least `NCOLS` for positive prefixes.
+- `WORK`: `Float64Array` scratch storage containing at least `2*NCOLS` indexed entries.
+
+For column-major storage, element `(i,j)` is at `i+j*LD`; for row-major storage it is at `i*LD+j`. Upper storage reads rows `0..j` of column `j`; lower storage reads rows `j..NCOLS-1`. The unused triangle, padding and trailing submatrix are never read. Upper and lower results need not coincide.
+
+`WORK[0..NCOLS-1]` receives factor column maxima; `WORK[NCOLS..2*NCOLS-1]` receives original stored-column maxima. All maxima start at positive zero. Zero factor columns are ignored, even when their original maxima are nonzero; if all denominators are zero the result is `1`. A zero original maximum with a positive denominator yields `0`.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 0.25, 0.0, 0.0, 4.0 ] );
+var AF = new Float64Array( [ 0.5, 0.0, 0.0, 2.0 ] );
+var WORK = new Float64Array( 4 );
+
+var v = dlaPorpvgrw( 'row-major', 'upper', 2, A, 2, AF, 2, WORK );
+// returns 0.5
+
+// WORK => [ 0.5, 2.0, 0.25, 4.0 ]
+```
+
+Invalid layout or triangle selectors throw a `TypeError`. Invalid prefix sizes or active integer metadata throw a `RangeError`. After validating selectors and `NCOLS`, an empty prefix returns `1` without inspecting any input, scratch storage, leading dimension, stride or offset.
+
+#### dlaPorpvgrw.ndarray( uplo, NCOLS, A, ... )
+
+Uses independent element strides and offsets for both matrices and scratch storage. Matrix indices are `offsetA+i*strideA1+j*strideA2` and `offsetAF+i*strideAF1+j*strideAF2`. Logical scratch entry `k` is at `offsetWork+k*strideWork`.
+
+For positive prefixes, all strides and offsets must be signed safe integers and `strideWork` must be nonzero. Negative and nonunit strides are supported; input read strides may also be zero. Only the exact `2*NCOLS` logical scratch entries are written.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 4.0, 0.0, 0.0, 0.25 ] );
+var AF = new Float64Array( [ 2.0, 0.0, 0.0, 0.5 ] );
+var WORK = new Float64Array( 8 );
+
+var v = dlaPorpvgrw.ndarray( 'upper', 2, A, -2, -1, 3, AF, -2, -1, 3, WORK, -2, 6 );
+// returns 0.5
+
+// WORK => [ 4.0, 0.0, 0.25, 0.0, 2.0, 0.0, 0.5, 0.0 ]
+```
+
+All referenced matrix and scratch indices must be in bounds. The two read-only inputs may alias each other. Written scratch entries must not overlap either provided input view. These are caller preconditions; exhaustive JavaScript bounds or overlap validation is not promised.
+
+### Notes
+
+- The supported reference-equivalence domain is finite selected entries in the original matrix and supplied Cholesky factor. Synthetic matrix/factor pairs are useful kernel checks but do not establish a successful factorization.
+- The implementation scans columns in increasing order, updates maxima only when `abs(value) > maximum`, and updates the ratio only when `ratio < result`. These explicit comparisons define its own special-value behavior. Portable parity with every LAPACK NaN/Infinity observation is not claimed; unchanged reference Fortran produced different Inf/Inf results at different optimization levels.
+- The optional native addon uses safe typed views and conservatively requires scalars, indexed arithmetic and scratch counts representable in signed 32-bit integers, including with its ILP64 build. Wider legitimate JavaScript metadata uses the JavaScript implementation. Native bounds checks use intrinsic typed-array metadata and respect typed-array byte offsets.
+- The exact package signature and validation choices follow neighboring matrix/scratch conventions and are proposed by this contribution; an accepted routine tracking RFC does not itself adopt this API.
+- The algorithm is adapted from [Reference LAPACK DLA_PORPVGRW][lapack-reference]. Its copyright and BSD redistribution terms are retained in `NOTICE`.
+
+
+
+
+
+
+
+## Examples
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var dlaPorpvgrw = require( '@stdlib/lapack/base/dla-porpvgrw' );
+
+var A = new Float64Array( [ 0.25, 0.0, 0.0, 4.0 ] );
+var AF = new Float64Array( [ 0.5, 0.0, 0.0, 2.0 ] );
+var WORK = new Float64Array( 4 );
+
+console.log( dlaPorpvgrw( 'column-major', 'lower', 2, A, 2, AF, 2, WORK ) );
+// => 0.5
+```
+
+
+
+
+
+* * *
+
+## C APIs
+
+```c
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+```
+
+#### c_dla_porpvgrw( layout, uplo, NCOLS, \*A, LDA, \*AF, LDAF, \*WORK )
+
+Computes reciprocal pivot growth using `LAPACK_ROW_MAJOR` or `LAPACK_COL_MAJOR` storage and `LAPACK_UPPER_TRIANGLE` or `LAPACK_LOWER_TRIANGLE`. Inputs are `const double *`; workspace is `double *`. Dimensions, strides and offsets use `LAPACK_INT`.
+
+```c
+double API_SUFFIX(c_dla_porpvgrw)( const LAPACK_LAYOUT layout, const LAPACK_UPLO uplo, const LAPACK_INT NCOLS, const double *A, const LAPACK_INT LDA, const double *AF, const LAPACK_INT LDAF, double *WORK );
+```
+
+#### c_dla_porpvgrw_ndarray( uplo, NCOLS, \*A, ... )
+
+Uses independent matrix element strides/offsets and nonzero strided scratch.
+
+```c
+double API_SUFFIX(c_dla_porpvgrw_ndarray)( const LAPACK_UPLO uplo, const LAPACK_INT NCOLS, const double *A, const LAPACK_INT sa1, const LAPACK_INT sa2, const LAPACK_INT oa, const double *AF, const LAPACK_INT sf1, const LAPACK_INT sf2, const LAPACK_INT of, double *WORK, const LAPACK_INT sw, const LAPACK_INT ow );
+```
+
+All indexed element arithmetic, products and scratch counts must fit the configured `LAPACK_INT`, and storage/alias preconditions apply. Invalid selector, negative prefix, oversized scratch count or active zero scratch stride returns NaN. Valid empty prefixes return `1` without accessing pointers or unused metadata. `LAPACK_ILP64` selects 64-bit indices; `CBLAS_API64` independently enables suffixed symbols through `API_SUFFIX`.
+
+```c
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include
+
+int main( void ) {
+ const double A[] = { 0.25, 0.0, 0.0, 4.0 };
+ const double AF[] = { 0.5, 0.0, 0.0, 2.0 };
+ double WORK[ 4 ];
+ double value;
+
+ value = API_SUFFIX(c_dla_porpvgrw)( LAPACK_ROW_MAJOR, LAPACK_UPPER_TRIANGLE, 2, A, 2, AF, 2, WORK );
+ printf( "%g\n", value );
+ return value != 0.5;
+}
+```
+
+
+
+[lapack-reference]: https://github.com/Reference-LAPACK/lapack/blob/74d4d63747bf1770bb60e1110c2075227baa324e/SRC/dla_porpvgrw.f
+
+
+
+
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.js
new file mode 100644
index 000000000000..9d28f7b5d15c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.js
@@ -0,0 +1,73 @@
+/**
+* @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 bench = require( '@stdlib/bench' );
+var Float64Array = require( '@stdlib/array/float64' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var routine = require( './../lib/main.js' );
+
+/**
+* Creates a diagonal positive-definite matrix benchmark.
+*
+* @private
+* @param {integer} N - matrix order
+* @param {string} uplo - stored triangle
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N, uplo ) {
+ var WORK = new Float64Array( 2*N );
+ var AF = new Float64Array( N*N );
+ var A = new Float64Array( N*N );
+ var i;
+
+ for ( i = 0; i < N; i++ ) {
+ A[i*(N+1)] = 0.25;
+ AF[i*(N+1)] = 0.5;
+ }
+ return benchmark;
+
+ /**
+ * Measures reciprocal pivot growth.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var value;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ value = routine( 'row-major', uplo, N, A, N, AF, N, WORK );
+ if ( value !== 0.5 ) {
+ b.fail( 'unexpected growth factor' );
+ }
+ }
+ b.toc();
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+bench( format( '%s:N=4,uplo=upper', pkg ), createBenchmark( 4, 'upper' ) );
+bench( format( '%s:N=4,uplo=lower', pkg ), createBenchmark( 4, 'lower' ) );
+bench( format( '%s:N=32,uplo=upper', pkg ), createBenchmark( 32, 'upper' ) );
+bench( format( '%s:N=32,uplo=lower', pkg ), createBenchmark( 32, 'lower' ) );
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..b9610d1926ff
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/benchmark.native.js
@@ -0,0 +1,78 @@
+/**
+* @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 resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var Float64Array = require( '@stdlib/array/float64' );
+var format = require( '@stdlib/string/format' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+var routine = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': routine instanceof Error
+};
+
+/**
+* Creates a diagonal positive-definite matrix benchmark.
+*
+* @private
+* @param {integer} N - matrix order
+* @param {string} uplo - stored triangle
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N, uplo ) {
+ var WORK = new Float64Array( 2*N );
+ var AF = new Float64Array( N*N );
+ var A = new Float64Array( N*N );
+ var i;
+
+ for ( i = 0; i < N; i++ ) {
+ A[i*(N+1)] = 0.25;
+ AF[i*(N+1)] = 0.5;
+ }
+ return benchmark;
+
+ /**
+ * Measures reciprocal pivot growth.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var value;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ value = routine( 'row-major', uplo, N, A, N, AF, N, WORK );
+ if ( value !== 0.5 ) {
+ b.fail( 'unexpected growth factor' );
+ }
+ }
+ b.toc();
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+bench( format( '%s:N=4,uplo=upper', pkg ), opts, createBenchmark( 4, 'upper' ) );
+bench( format( '%s:N=4,uplo=lower', pkg ), opts, createBenchmark( 4, 'lower' ) );
+bench( format( '%s:N=32,uplo=upper', pkg ), opts, createBenchmark( 32, 'upper' ) );
+bench( format( '%s:N=32,uplo=lower', pkg ), opts, createBenchmark( 32, 'lower' ) );
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/Makefile b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/Makefile
new file mode 100644
index 000000000000..979768abbcec
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..baaf6a5cd1f4
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/benchmark/c/benchmark.c
@@ -0,0 +1,86 @@
+/**
+* @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.
+*/
+
+
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include
+#include
+#include
+
+#define REPEATS 2
+#define ITERATIONS 1000
+
+/**
+* Benchmarks the growth routine on diagonal positive-definite matrices.
+*
+* @param N matrix order
+* @return elapsed seconds
+*/
+static double benchmark( const LAPACK_INT N ) {
+ double *A;
+ double *AF;
+ double *WORK;
+ double result;
+ LAPACK_INT i;
+ clock_t time;
+
+ A = (double *)calloc( N*N, sizeof( double ) );
+ AF = (double *)calloc( N*N, sizeof( double ) );
+ WORK = (double *)malloc( 2*N*sizeof( double ) );
+ if ( A == NULL || AF == NULL || WORK == NULL ) {
+ free( A ); free( AF ); free( WORK );
+ exit( 1 );
+ }
+ for ( i = 0; i < N; i++ ) {
+ A[ i*(N+1) ] = 0.25;
+ AF[ i*(N+1) ] = 0.5;
+ }
+ time = clock();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ result = API_SUFFIX(c_dla_porpvgrw)( LAPACK_ROW_MAJOR, LAPACK_UPPER_TRIANGLE, N, A, N, AF, N, WORK );
+ if ( result != 0.5 ) {
+ free( A ); free( AF ); free( WORK );
+ exit( 1 );
+ }
+ }
+ time = clock()-time;
+ free( A ); free( AF ); free( WORK );
+ return (double)time/CLOCKS_PER_SEC;
+}
+
+int main( void ) {
+ const LAPACK_INT sizes[] = { 1, 16, 64 };
+ double elapsed;
+ int count;
+ int i;
+ int j;
+
+ printf( "TAP version 13\n" );
+ count = 0;
+ for ( i = 0; i < 3; i++ ) {
+ for ( j = 0; j < REPEATS; j++ ) {
+ elapsed = benchmark( sizes[i] );
+ count += 1;
+ printf( "# c::dla-porpvgrw:N=%" LAPACK_IFMT "\n", sizes[i] );
+ printf( " ---\n iterations: %d\n elapsed: %.9f\n ...\n", ITERATIONS, elapsed );
+ printf( "ok %d benchmark finished\n", count );
+ }
+ }
+ printf( "1..%d\n# pass %d\n# ok\n", count, count );
+ return 0;
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/binding.gyp b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/binding.gyp
new file mode 100644
index 000000000000..0b87babf0f03
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/binding.gyp
@@ -0,0 +1,176 @@
+# @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.
+
+# A `.gyp` file for building a Node.js native add-on.
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # List of files to include in this file:
+ 'includes': [
+ './include.gypi',
+ ],
+
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Target name should match the add-on export name:
+ 'addon_target_name%': 'addon',
+
+ # Set variables based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="win"',
+ {
+ # Define the object file suffix:
+ 'obj': 'obj',
+ },
+ {
+ # Define the object file suffix:
+ 'obj': 'o',
+ }
+ ], # end condition (OS=="win")
+ ], # end conditions
+ }, # end variables
+
+ # Define compile targets:
+ 'targets': [
+
+ # Target to generate an add-on:
+ {
+ # The target name should match the add-on export name:
+ 'target_name': '<(addon_target_name)',
+
+ # Define dependencies:
+ 'dependencies': [],
+
+ # Match Node-API integer arguments without narrowing indices:
+ 'defines': [ 'LAPACK_ILP64' ],
+
+ # Define directories which contain relevant include headers:
+ 'include_dirs': [
+ # Local include directory:
+ '<@(include_dirs)',
+ ],
+
+ # List of source files:
+ 'sources': [
+ '<@(src_files)',
+ ],
+
+ # Settings which should be applied when a target's object files are used as linker input:
+ 'link_settings': {
+ # Define libraries:
+ 'libraries': [
+ '<@(libraries)',
+ ],
+
+ # Define library directories:
+ 'library_dirs': [
+ '<@(library_dirs)',
+ ],
+ },
+
+ # C/C++ compiler flags:
+ 'cflags': [
+ # Enable commonly used warning options:
+ '-Wall',
+
+ # Aggressive optimization:
+ '-O3',
+
+ # Keep separate comparison operations consistent with JavaScript:
+ '-ffp-contract=off',
+ ],
+
+ # C specific compiler flags:
+ 'cflags_c': [
+ # Specify the C standard to which a program is expected to conform:
+ '-std=c99',
+ ],
+
+ # C++ specific compiler flags:
+ 'cflags_cpp': [
+ # Specify the C++ standard to which a program is expected to conform:
+ '-std=c++11',
+ ],
+
+ # Linker flags:
+ 'ldflags': [],
+
+ # Apply conditions based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="mac"',
+ {
+ # Linker flags:
+ 'ldflags': [
+ '-undefined dynamic_lookup',
+ '-Wl,-no-pie',
+ '-Wl,-search_paths_first',
+ ],
+ },
+ ], # end condition (OS=="mac")
+ [
+ 'OS!="win"',
+ {
+ # C/C++ flags:
+ 'cflags': [
+ # Generate platform-independent code:
+ '-fPIC',
+ ],
+ },
+ ], # end condition (OS!="win")
+ ], # end conditions
+ }, # end target <(addon_target_name)
+
+ # Target to copy a generated add-on to a standard location:
+ {
+ 'target_name': 'copy_addon',
+
+ # Declare that the output of this target is not linked:
+ 'type': 'none',
+
+ # Define dependencies:
+ 'dependencies': [
+ # Require that the add-on be generated before building this target:
+ '<(addon_target_name)',
+ ],
+
+ # Define a list of actions:
+ 'actions': [
+ {
+ 'action_name': 'copy_addon',
+ 'message': 'Copying addon...',
+
+ # Explicitly list the inputs in the command-line invocation below:
+ 'inputs': [],
+
+ # Declare the expected outputs:
+ 'outputs': [
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+
+ # Define the command-line invocation:
+ 'action': [
+ 'cp',
+ '<(PRODUCT_DIR)/<(addon_target_name).node',
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+ },
+ ], # end actions
+ }, # end target copy_addon
+ ], # end targets
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/repl.txt
new file mode 100644
index 000000000000..d943971b82eb
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/repl.txt
@@ -0,0 +1,75 @@
+{{alias}}( order, uplo, NCOLS, A, LDA, AF, LDAF, WORK )
+ Computes reciprocal Cholesky pivot growth using a supplied factor.
+
+ Parameters
+ ----------
+ order: string
+ Storage layout: 'row-major' or 'column-major'.
+ uplo: string
+ Stored triangle: 'upper' or 'lower'.
+ NCOLS: integer
+ Nonnegative leading square prefix order.
+ A: Float64Array
+ Read-only original matrix.
+ LDA: integer
+ Leading dimension of A.
+ AF: Float64Array
+ Read-only supplied Cholesky factor.
+ LDAF: integer
+ Leading dimension of AF.
+ WORK: Float64Array
+ Scratch storage for 2*NCOLS maxima, disjoint from both inputs.
+
+ Returns
+ -------
+ v: number
+ Reciprocal pivot growth, capped at 1.
+
+ Examples
+ --------
+ > var A = new Float64Array( [ 0.25, 0.0, 0.0, 4.0 ] );
+ > var AF = new Float64Array( [ 0.5, 0.0, 0.0, 2.0 ] );
+ > var WORK = new Float64Array( 4 );
+ > {{alias}}( 'row-major', 'upper', 2, A, 2, AF, 2, WORK )
+ 0.5
+
+
+{{alias}}.ndarray( uplo, NCOLS, A, a1, a2, oa, AF, f1, f2, of, W, sw, ow )
+ Uses independent matrix and scratch strides and offsets.
+
+ Parameters
+ ----------
+ uplo: string
+ Stored triangle: 'upper' or 'lower'.
+ NCOLS: integer
+ Nonnegative leading square prefix order.
+ A: Float64Array
+ Original matrix.
+ a1: integer
+ Row stride of A.
+ a2: integer
+ Column stride of A.
+ oa: integer
+ Starting index of A.
+ AF: Float64Array
+ Supplied factor.
+ f1: integer
+ Row stride of AF.
+ f2: integer
+ Column stride of AF.
+ oaF: integer
+ Starting index of AF.
+ W: Float64Array
+ Scratch storage, disjoint from both inputs.
+ sw: integer
+ Nonzero workspace stride.
+ ow: integer
+ Workspace starting index.
+
+ Returns
+ -------
+ v: number
+ Reciprocal pivot growth.
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/index.d.ts
new file mode 100644
index 000000000000..2cfcd3c50183
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/index.d.ts
@@ -0,0 +1,79 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+
+// TypeScript Version: 4.1
+
+///
+
+import { Layout } from '@stdlib/types/blas';
+
+/**
+* Stored triangle selector.
+*/
+type Triangle = 'upper' | 'lower';
+
+/**
+* Interface describing reciprocal Cholesky pivot growth.
+*/
+interface Routine {
+ /**
+ * Computes reciprocal pivot growth from a supplied matrix and factor.
+ *
+ * @param order - storage layout
+ * @param uplo - stored triangle
+ * @param NCOLS - leading square prefix order
+ * @param A - original matrix
+ * @param LDA - leading dimension of A
+ * @param AF - supplied Cholesky factor
+ * @param LDAF - leading dimension of AF
+ * @param WORK - scratch storage with 2*NCOLS indexed entries
+ * @returns reciprocal pivot growth
+ */
+ ( order: Layout, uplo: Triangle, NCOLS: number, A: Float64Array, LDA: number, AF: Float64Array, LDAF: number, WORK: Float64Array ): number;
+
+ /**
+ * Computes reciprocal pivot growth using independent view indexing.
+ *
+ * @param uplo - stored triangle
+ * @param NCOLS - leading square prefix order
+ * @param A - original matrix
+ * @param strideA1 - row stride of A
+ * @param strideA2 - column stride of A
+ * @param offsetA - starting index of A
+ * @param AF - supplied factor
+ * @param strideAF1 - row stride of AF
+ * @param strideAF2 - column stride of AF
+ * @param offsetAF - starting index of AF
+ * @param WORK - scratch storage, disjoint from inputs
+ * @param strideWork - nonzero scratch stride
+ * @param offsetWork - starting scratch index
+ * @returns reciprocal pivot growth
+ */
+ readonly ndarray: ( uplo: Triangle, NCOLS: number, A: Float64Array, strideA1: number, strideA2: number, offsetA: number, AF: Float64Array, strideAF1: number, strideAF2: number, offsetAF: number, WORK: Float64Array, strideWork: number, offsetWork: number ) => number;
+}
+
+/**
+* Computes the reciprocal Cholesky pivot-growth factor.
+*/
+declare var dlaPorpvgrw: Routine;
+
+
+// EXPORTS //
+
+export = dlaPorpvgrw;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/test.ts
new file mode 100644
index 000000000000..2e06cbaa9ecf
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/docs/types/test.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+
+import routine = require( './index' );
+
+const A = new Float64Array( 4 );
+const AF = new Float64Array( 4 );
+const WORK = new Float64Array( 4 );
+
+routine( 'row-major', 'upper', 2, A, 2, AF, 2, WORK ); // $ExpectType number
+routine.ndarray( 'lower', 2, A, -2, -1, 3, AF, 1, 2, 0, WORK, -1, 3 ); // $ExpectType number
+
+routine( 'other', 'upper', 2, A, 2, AF, 2, WORK ); // $ExpectError
+routine( 101, 'upper', 2, A, 2, AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 'all', 2, A, 2, AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 121, 2, A, 2, AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 'upper', '2', A, 2, AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 'upper', 2, [], 2, AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, '2', AF, 2, WORK ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, 2, [], 2, WORK ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, 2, AF, '2', WORK ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, 2, AF, 2, [] ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, 2, AF, 2 ); // $ExpectError
+routine( 'row-major', 'upper', 2, A, 2, AF, 2, WORK, 1 ); // $ExpectError
+
+routine.ndarray( 'all', 2, A, 1, 2, 0, AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', '2', A, 1, 2, 0, AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, [], 1, 2, 0, AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, '1', 2, 0, AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, '2', 0, AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, '0', AF, 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, [], 1, 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, '1', 2, 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, '2', 0, WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, 2, '0', WORK, 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, 2, 0, [], 1, 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, 2, 0, WORK, '1', 0 ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, 2, 0, WORK, 1, '0' ); // $ExpectError
+routine.ndarray( 'upper', 2, A, 1, 2, 0, AF, 1, 2, 0, WORK, 1 ); // $ExpectError
+routine.ndarray = function replacement() { return 1; }; // $ExpectError
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/Makefile b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/Makefile
new file mode 100644
index 000000000000..c8f8e9a1517b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/example.c b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/example.c
new file mode 100644
index 000000000000..114aa0e60de0
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/c/example.c
@@ -0,0 +1,36 @@
+/**
+* @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.
+*/
+
+
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include
+
+int main( void ) {
+ const double A[] = { 0.25, 0.0, 0.0, 4.0 };
+ const double AF[] = { 0.5, 0.0, 0.0, 2.0 };
+ double WORK[ 4 ];
+ double value;
+ LAPACK_INT i;
+
+ value = API_SUFFIX(c_dla_porpvgrw)( LAPACK_ROW_MAJOR, LAPACK_UPPER_TRIANGLE, 2, A, 2, AF, 2, WORK );
+ printf( "reciprocal pivot growth: %g\n", value );
+ for ( i = 0; i < 4; i++ ) {
+ printf( "WORK[%" LAPACK_IFMT "]: %g\n", i, WORK[ i ] );
+ }
+ return value != 0.5;
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/index.js
new file mode 100644
index 000000000000..f21ddc6ecf02
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @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 dlaPorpvgrw = require( './../lib' );
+
+var A = new Float64Array( [ 0.25, 0.0, 0.0, 4.0 ] );
+var AF = new Float64Array( [ 0.5, 0.0, 0.0, 2.0 ] );
+var WORK = new Float64Array( 4 );
+var value = dlaPorpvgrw( 'row-major', 'upper', 2, A, 2, AF, 2, WORK );
+console.log( 'reciprocal pivot growth: %d', value );
+console.log( WORK );
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/include.gypi b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/include.gypi
@@ -0,0 +1,53 @@
+# @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.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Source directory:
+ 'src_dir': './src',
+
+ # Include directories:
+ 'include_dirs': [
+ ' WORK[ index ] ) {
+ WORK[ index ] = value;
+ }
+ }
+ }
+ for ( j = 0; j < NCOLS; j++ ) {
+ start = ( uplo === 121 ) ? 0 : j;
+ stop = ( uplo === 121 ) ? j+1 : NCOLS;
+ index = ow + (j*sw);
+ for ( i = start; i < stop; i++ ) {
+ value = abs( AF[ of+(i*sf1)+(j*sf2) ] );
+ if ( value > WORK[ index ] ) {
+ WORK[ index ] = value;
+ }
+ }
+ }
+ for ( j = 0; j < NCOLS; j++ ) {
+ denom = WORK[ ow+(j*sw) ];
+ if ( denom !== 0.0 ) {
+ ratio = WORK[ ow+((NCOLS+j)*sw) ] / denom;
+ if ( ratio < result ) {
+ result = ratio;
+ }
+ }
+ }
+ return result;
+}
+
+
+// EXPORTS //
+
+module.exports = base;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/can_use_native.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/can_use_native.js
new file mode 100644
index 000000000000..44c953776676
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/can_use_native.js
@@ -0,0 +1,122 @@
+/**
+* @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 Float64Array = require( '@stdlib/array/float64' );
+var getPrototypeOf = require( '@stdlib/utils/get-prototype-of' );
+var isFloat64Array = require( '@stdlib/assert/is-float64array' );
+var isSafeInteger = require( '@stdlib/assert/is-safe-integer' ).isPrimitive;
+var hasOwn = require( '@stdlib/assert/has-own-property' );
+var descriptor = require( '@stdlib/utils/property-descriptor' );
+
+
+// VARIABLES //
+
+var typedArrayPrototype = getPrototypeOf( Float64Array.prototype );
+var getLength = descriptor( typedArrayPrototype, 'length' ).get;
+var getBuffer = descriptor( typedArrayPrototype, 'buffer' ).get;
+var getByteOffset = descriptor( typedArrayPrototype, 'byteOffset' ).get;
+var getByteLength = descriptor( typedArrayPrototype, 'byteLength' ).get;
+
+
+// FUNCTIONS //
+
+/**
+* Checks safe physical matrix bounds without invoking untrusted metadata.
+*
+* @private
+* @param {Float64Array} data - typed view
+* @param {integer} N - square order
+* @param {integer} s1 - row stride
+* @param {integer} s2 - column stride
+* @param {integer} offset - starting index
+* @returns {boolean} whether the view is compatible
+*/
+function isView( data, N, s1, s2, offset ) {
+ var length;
+ var proto;
+ var lo;
+ var hi;
+ var a;
+ var b;
+
+ if ( !isFloat64Array( data ) ) {
+ return false;
+ }
+ proto = getPrototypeOf( data );
+ if ( proto !== Float64Array.prototype ) {
+ return false;
+ }
+ if ( hasOwn( data, 'length' ) || hasOwn( data, 'buffer' ) || hasOwn( data, 'byteOffset' ) || hasOwn( data, 'byteLength' ) || hasOwn( proto, 'length' ) || hasOwn( proto, 'buffer' ) || hasOwn( proto, 'byteOffset' ) || hasOwn( proto, 'byteLength' ) ) {
+ return false;
+ }
+ a = (N-1)*s1;
+ b = (N-1)*s2;
+ lo = offset + ( (a < 0) ? a : 0 ) + ( (b < 0) ? b : 0 );
+ hi = offset + ( (a > 0) ? a : 0 ) + ( (b > 0) ? b : 0 );
+ length = getLength.call( data );
+ if ( s1 < -2147483647 || s1 > 2147483647 || s2 < -2147483647 || s2 > 2147483647 || offset > 2147483647 || a < -2147483647 || a > 2147483647 || b < -2147483647 || b > 2147483647 || hi > 2147483647 ) {
+ return false;
+ }
+ return isSafeInteger( a ) && isSafeInteger( b ) && isSafeInteger( lo ) && isSafeInteger( hi ) && lo >= 0 && hi < length;
+}
+
+
+// MAIN //
+
+/**
+* Checks whether normalized arguments can use the native interface.
+*
+* @private
+* @param {ArrayLike} args - normalized ndarray arguments
+* @returns {boolean} whether arguments are safely marshalable
+*/
+function canUseNative( args ) {
+ var buffer;
+ var offset;
+ var length;
+ var data;
+ var N;
+ var i;
+
+ N = args[ 1 ];
+ if ( N <= 0 || N > 1073741823 ) {
+ return false;
+ }
+ if ( !isView( args[2], N, args[3], args[4], args[5] ) || !isView( args[6], N, args[7], args[8], args[9] ) || !isView( args[10], 2*N, args[11], 0, args[12] ) ) {
+ return false;
+ }
+ buffer = getBuffer.call( args[10] );
+ offset = getByteOffset.call( args[10] );
+ length = getByteLength.call( args[10] );
+ for ( i = 2; i <= 6; i += 4 ) {
+ data = args[ i ];
+ if ( getBuffer.call( data ) === buffer && getByteOffset.call( data ) < offset+length && offset < getByteOffset.call( data )+getByteLength.call( data ) ) {
+ return false;
+ }
+ }
+ return true;
+}
+
+
+// EXPORTS //
+
+module.exports = canUseNative;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/factory.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/factory.js
new file mode 100644
index 000000000000..003e44a8c71e
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/factory.js
@@ -0,0 +1,156 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var isSafeInteger = require( '@stdlib/assert/is-safe-integer' ).isPrimitive;
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+
+
+// FUNCTIONS //
+
+/**
+* Validates the triangle and leading prefix dimensions.
+*
+* @private
+* @param {string} uplo - triangle
+* @param {NonNegativeInteger} NCOLS - prefix size
+* @throws {TypeError} invalid triangle
+* @throws {RangeError} invalid prefix size
+* @returns {integer} triangle enum
+*/
+function validate( uplo, NCOLS ) {
+ if ( uplo !== 'upper' && uplo !== 'lower' ) {
+ throw new TypeError( 'invalid argument. Triangle must be upper or lower.' );
+ }
+ if ( !isSafeInteger( NCOLS ) || NCOLS < 0 ) {
+ throw new RangeError( 'invalid argument. NCOLS must be a nonnegative safe integer.' );
+ }
+ return ( uplo === 'upper' ) ? 121 : 122;
+}
+
+
+// MAIN //
+
+/**
+* Creates the public main and ndarray interfaces.
+*
+* @private
+* @param {Function} base - numerical kernel
+* @returns {Function} public interfaces
+*/
+function factory( base ) {
+ setReadOnly( dlaPorpvgrw, 'ndarray', ndarray );
+ return dlaPorpvgrw;
+
+ /**
+ * Computes the reciprocal Cholesky pivot-growth factor.
+ *
+ * @private
+ * @param {string} order - row-major or column-major
+ * @param {string} uplo - upper or lower
+ * @param {NonNegativeInteger} NCOLS - leading square order
+ * @param {Float64Array} A - original matrix
+ * @param {PositiveInteger} LDA - leading dimension of A
+ * @param {Float64Array} AF - supplied Cholesky factor
+ * @param {PositiveInteger} LDAF - leading dimension of AF
+ * @param {Float64Array} WORK - 2*NCOLS scratch entries
+ * @throws {TypeError} invalid order or triangle
+ * @throws {RangeError} invalid dimension or leading dimension
+ * @returns {number} reciprocal pivot growth
+ */
+ function dlaPorpvgrw( order, uplo, NCOLS, A, LDA, AF, LDAF, WORK ) {
+ var sa1;
+ var sa2;
+ var sf1;
+ var sf2;
+ var u;
+
+ if ( order !== 'row-major' && order !== 'column-major' ) {
+ throw new TypeError( 'invalid argument. Order must be row-major or column-major.' );
+ }
+ u = validate( uplo, NCOLS );
+ if ( NCOLS === 0 ) {
+ return 1.0;
+ }
+ if ( !isSafeInteger( LDA ) || LDA < NCOLS || !isSafeInteger( LDAF ) || LDAF < NCOLS ) {
+ throw new RangeError( 'invalid argument. Leading dimensions must be safe integers at least NCOLS.' );
+ }
+ if ( order === 'column-major' ) {
+ sa1 = 1;
+ sa2 = LDA;
+ sf1 = 1;
+ sf2 = LDAF;
+ } else {
+ sa1 = LDA;
+ sa2 = 1;
+ sf1 = LDAF;
+ sf2 = 1;
+ }
+ return base( u, NCOLS, A, sa1, sa2, 0, AF, sf1, sf2, 0, WORK, 1, 0 );
+ }
+
+ /**
+ * Computes reciprocal Cholesky pivot growth using alternative indexing.
+ *
+ * @private
+ * @param {string} uplo - upper or lower
+ * @param {NonNegativeInteger} NCOLS - leading square order
+ * @param {Float64Array} A - original matrix
+ * @param {integer} strideA1 - row stride of A
+ * @param {integer} strideA2 - column stride of A
+ * @param {integer} offsetA - offset of A
+ * @param {Float64Array} AF - supplied factor
+ * @param {integer} strideAF1 - row stride of AF
+ * @param {integer} strideAF2 - column stride of AF
+ * @param {integer} offsetAF - offset of AF
+ * @param {Float64Array} WORK - scratch storage
+ * @param {NonZeroInteger} strideWork - scratch stride
+ * @param {integer} offsetWork - scratch offset
+ * @throws {TypeError} invalid triangle
+ * @throws {RangeError} invalid dimension or integer metadata
+ * @returns {number} reciprocal pivot growth
+ */
+ function ndarray( uplo, NCOLS, A, strideA1, strideA2, offsetA, AF, strideAF1, strideAF2, offsetAF, WORK, strideWork, offsetWork ) { // eslint-disable-line max-params
+ var metadata;
+ var u;
+ var i;
+
+ u = validate( uplo, NCOLS );
+ if ( NCOLS === 0 ) {
+ return 1.0;
+ }
+ metadata = [ strideA1, strideA2, offsetA, strideAF1, strideAF2, offsetAF, strideWork, offsetWork ];
+ for ( i = 0; i < metadata.length; i++ ) {
+ if ( !isSafeInteger( metadata[ i ] ) ) {
+ throw new RangeError( 'invalid argument. Strides and offsets must be safe integers.' );
+ }
+ }
+ if ( strideWork === 0 ) {
+ throw new RangeError( 'invalid argument. Workspace stride must be nonzero.' );
+ }
+ return base( u, NCOLS, A, strideA1, strideA2, offsetA, AF, strideAF1, strideAF2, offsetAF, WORK, strideWork, offsetWork );
+ }
+}
+
+
+// EXPORTS //
+
+module.exports = factory;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/index.js
new file mode 100644
index 000000000000..b5ccda7b5903
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/index.js
@@ -0,0 +1,34 @@
+/**
+* @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.
+*/
+
+/**
+* Compute the reciprocal Cholesky pivot-growth factor.
+*
+* @module @stdlib/lapack/base/dla-porpvgrw
+*/
+
+'use strict';
+
+var resolve = require( 'path' ).resolve;
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+var main = tryRequire( resolve( __dirname, './native.js' ) );
+if ( main instanceof Error ) {
+ main = require( './main.js' );
+}
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/main.js
new file mode 100644
index 000000000000..72ce4a14cc58
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/main.js
@@ -0,0 +1,26 @@
+/**
+* @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 factory = require( './factory.js' );
+var base = require( './base.js' );
+
+var main = factory( base );
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/native.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/native.js
new file mode 100644
index 000000000000..65da4038866b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/lib/native.js
@@ -0,0 +1,42 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var factory = require( './factory.js' );
+var base = require( './base.js' );
+var canUseNative = require( './can_use_native.js' );
+var addon = require( './../src/addon.node' );
+var main;
+
+/**
+* Dispatches safe typed views to the addon.
+*
+* @private
+* @returns {number} reciprocal pivot growth
+*/
+function dispatch() {
+ if ( canUseNative( arguments ) ) {
+ return addon.apply( null, arguments );
+ }
+ return base.apply( null, arguments );
+}
+
+main = factory( dispatch );
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/manifest.json b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/manifest.json
new file mode 100644
index 000000000000..c2780b0fb572
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/manifest.json
@@ -0,0 +1,108 @@
+{
+ "options": {
+ "task": "build",
+ "wasm": false
+ },
+ "fields": [
+ {
+ "field": "src",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "include",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "libraries",
+ "resolve": false,
+ "relative": false
+ },
+ {
+ "field": "libpath",
+ "resolve": true,
+ "relative": false
+ }
+ ],
+ "confs": [
+ {
+ "task": "build",
+ "wasm": false,
+ "src": [
+ "./src/dla_porpvgrw.c",
+ "./src/dla_porpvgrw_ndarray.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/lapack/base/shared",
+ "@stdlib/math/base/special/abs",
+ "@stdlib/constants/float64/nan",
+ "@stdlib/napi/export",
+ "@stdlib/napi/argv",
+ "@stdlib/napi/argv-int64",
+ "@stdlib/napi/argv-int32",
+ "@stdlib/napi/argv-float64array",
+ "@stdlib/napi/create-double"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "wasm": false,
+ "src": [
+ "./src/dla_porpvgrw.c",
+ "./src/dla_porpvgrw_ndarray.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/lapack/base/shared",
+ "@stdlib/math/base/special/abs",
+ "@stdlib/constants/float64/nan"
+ ]
+ },
+ {
+ "task": "examples",
+ "wasm": false,
+ "src": [
+ "./src/dla_porpvgrw.c",
+ "./src/dla_porpvgrw_ndarray.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/lapack/base/shared",
+ "@stdlib/math/base/special/abs",
+ "@stdlib/constants/float64/nan"
+ ]
+ },
+ {
+ "task": "",
+ "wasm": true,
+ "src": [
+ "./src/dla_porpvgrw.c",
+ "./src/dla_porpvgrw_ndarray.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/lapack/base/shared",
+ "@stdlib/math/base/special/abs",
+ "@stdlib/constants/float64/nan"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/package.json b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/package.json
new file mode 100644
index 000000000000..e877c90fce65
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/package.json
@@ -0,0 +1,77 @@
+{
+ "name": "@stdlib/lapack/base/dla-porpvgrw",
+ "version": "0.0.0",
+ "description": "Compute the reciprocal Cholesky pivot-growth factor.",
+ "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",
+ "browser": "./lib/main.js",
+ "gypfile": true,
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "include": "./include",
+ "lib": "./lib",
+ "src": "./src",
+ "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",
+ "dla-porpvgrw",
+ "cholesky",
+ "pivot",
+ "growth",
+ "factor",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "matrix",
+ "float64",
+ "double",
+ "float64array"
+ ],
+ "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/Makefile b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+ $(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/addon.c b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/addon.c
new file mode 100644
index 000000000000..a35b885ea6ba
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/addon.c
@@ -0,0 +1,93 @@
+/**
+* @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.
+*/
+
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include "stdlib/napi/export.h"
+#include "stdlib/napi/argv.h"
+#include "stdlib/napi/argv_int32.h"
+#include "stdlib/napi/argv_int64.h"
+#include "stdlib/napi/argv_float64array.h"
+#include "stdlib/napi/create_double.h"
+#include
+#include
+#include
+
+/**
+* Checks physical indexed bounds before executing the C kernel.
+*
+* @param N square order
+* @param s1 row stride
+* @param s2 column stride
+* @param offset offset
+* @param length typed view length
+* @return whether the indexed view is safe
+*/
+static int bounds( int64_t N, int64_t s1, int64_t s2, int64_t offset, size_t length ) {
+ long double lo;
+ long double hi;
+ long double a;
+ long double b;
+ if ( offset < 0 || offset > INT64_C(2147483647) || s1 < -INT64_C(2147483647) || s1 > INT64_C(2147483647) || s2 < -INT64_C(2147483647) || s2 > INT64_C(2147483647) ) {
+ return 0;
+ }
+ a = (long double)(N-1) * (long double)s1;
+ b = (long double)(N-1) * (long double)s2;
+ lo = (long double)offset + ((a < 0.0L) ? a : 0.0L) + ((b < 0.0L) ? b : 0.0L);
+ hi = (long double)offset + ((a > 0.0L) ? a : 0.0L) + ((b > 0.0L) ? b : 0.0L);
+ return lo >= 0.0L && hi <= 2147483647.0L && hi < (long double)length;
+}
+
+/**
+* Invokes the native reciprocal pivot-growth routine.
+*
+* @param env Node-API environment
+* @param info invocation data
+* @return numeric growth factor
+*/
+static napi_value addon( napi_env env, napi_callback_info info ) {
+ STDLIB_NAPI_ARGV( env, info, argv, argc, 13 );
+ STDLIB_NAPI_ARGV_INT32( env, uplo, argv, 0 );
+ STDLIB_NAPI_ARGV_INT64( env, N, argv, 1 );
+ if ( N < 0 || N > 1073741823 || (uplo != LAPACK_UPPER_TRIANGLE && uplo != LAPACK_LOWER_TRIANGLE) ) {
+ napi_throw_range_error( env, NULL, "invalid argument. Unsupported prefix or triangle." );
+ return NULL;
+ }
+ if ( N == 0 ) {
+ STDLIB_NAPI_CREATE_DOUBLE( env, 1.0, empty );
+ return empty;
+ }
+ STDLIB_NAPI_ARGV_FLOAT64ARRAY( env, A, alen, argv, 2 );
+ STDLIB_NAPI_ARGV_INT64( env, sa1, argv, 3 );
+ STDLIB_NAPI_ARGV_INT64( env, sa2, argv, 4 );
+ STDLIB_NAPI_ARGV_INT64( env, oa, argv, 5 );
+ STDLIB_NAPI_ARGV_FLOAT64ARRAY( env, AF, flen, argv, 6 );
+ STDLIB_NAPI_ARGV_INT64( env, sf1, argv, 7 );
+ STDLIB_NAPI_ARGV_INT64( env, sf2, argv, 8 );
+ STDLIB_NAPI_ARGV_INT64( env, of, argv, 9 );
+ STDLIB_NAPI_ARGV_FLOAT64ARRAY( env, WORK, wlen, argv, 10 );
+ STDLIB_NAPI_ARGV_INT64( env, sw, argv, 11 );
+ STDLIB_NAPI_ARGV_INT64( env, ow, argv, 12 );
+ if ( sw == 0 || !bounds( N, sa1, sa2, oa, alen ) || !bounds( N, sf1, sf2, of, flen ) || !bounds( 2*N, sw, 0, ow, wlen ) ) {
+ napi_throw_range_error( env, NULL, "invalid argument. Insufficient indexed storage." );
+ return NULL;
+ }
+ STDLIB_NAPI_CREATE_DOUBLE( env, API_SUFFIX(c_dla_porpvgrw_ndarray)( (LAPACK_UPLO)uplo, N, A, sa1, sa2, oa, AF, sf1, sf2, of, WORK, sw, ow ), out );
+ return out;
+}
+
+STDLIB_NAPI_MODULE_EXPORT_FCN( addon )
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw.c b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw.c
new file mode 100644
index 000000000000..ab5cbf50a3af
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw.c
@@ -0,0 +1,46 @@
+/**
+* @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.
+*/
+
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include "stdlib/constants/float64/nan.h"
+
+/**
+* Computes reciprocal Cholesky pivot growth using a matrix storage layout.
+*
+* @param layout storage layout
+* @param uplo stored triangle
+* @param NCOLS leading square order
+* @param A original matrix
+* @param LDA leading dimension of A
+* @param AF supplied Cholesky factor
+* @param LDAF leading dimension of AF
+* @param WORK scratch storage with 2*NCOLS entries
+* @return reciprocal pivot growth or NaN for invalid options
+*/
+double API_SUFFIX(c_dla_porpvgrw)( const LAPACK_LAYOUT layout, const LAPACK_UPLO uplo, const LAPACK_INT NCOLS, const double *A, const LAPACK_INT LDA, const double *AF, const LAPACK_INT LDAF, double *WORK ) {
+ if ( layout != LAPACK_ROW_MAJOR && layout != LAPACK_COL_MAJOR ) {
+ return STDLIB_CONSTANT_FLOAT64_NAN;
+ }
+ if ( NCOLS > 0 && (LDA < NCOLS || LDAF < NCOLS) ) {
+ return STDLIB_CONSTANT_FLOAT64_NAN;
+ }
+ if ( layout == LAPACK_COL_MAJOR ) {
+ return API_SUFFIX(c_dla_porpvgrw_ndarray)( uplo, NCOLS, A, 1, LDA, 0, AF, 1, LDAF, 0, WORK, 1, 0 );
+ }
+ return API_SUFFIX(c_dla_porpvgrw_ndarray)( uplo, NCOLS, A, LDA, 1, 0, AF, LDAF, 1, 0, WORK, 1, 0 );
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw_ndarray.c b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw_ndarray.c
new file mode 100644
index 000000000000..a2d27142de10
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/src/dla_porpvgrw_ndarray.c
@@ -0,0 +1,112 @@
+/**
+* @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.
+*/
+
+#include "stdlib/lapack/base/dla_porpvgrw.h"
+#include "stdlib/math/base/special/abs.h"
+#include "stdlib/constants/float64/nan.h"
+#include
+
+/**
+* Caller must provide in-bounds disjoint workspace and index arithmetic representable in LAPACK_INT.
+*
+* Computes reciprocal Cholesky pivot growth for a supplied triangular factor.
+*
+* ## Notes
+*
+* - Adapted from Reference LAPACK DLA_PORPVGRW; see NOTICE for its BSD terms.
+* - Scans only stored triangular column entries of the leading square prefix.
+* - Explicit comparisons define this package's special-value ordering.
+*
+* @param uplo stored triangle
+* @param NCOLS leading square order
+* @param A original matrix
+* @param sa1 row stride of A
+* @param sa2 column stride of A
+* @param oa offset of A
+* @param AF supplied Cholesky factor
+* @param sf1 row stride of AF
+* @param sf2 column stride of AF
+* @param of offset of AF
+* @param WORK scratch storage for 2*NCOLS maxima
+* @param sw nonzero scratch stride
+* @param ow scratch offset
+* @return reciprocal pivot growth or NaN for invalid options
+*/
+double API_SUFFIX(c_dla_porpvgrw_ndarray)( const LAPACK_UPLO uplo, const LAPACK_INT NCOLS, const double *A, const LAPACK_INT sa1, const LAPACK_INT sa2, const LAPACK_INT oa, const double *AF, const LAPACK_INT sf1, const LAPACK_INT sf2, const LAPACK_INT of, double *WORK, const LAPACK_INT sw, const LAPACK_INT ow ) {
+ LAPACK_INT start;
+ LAPACK_INT stop;
+ LAPACK_INT index;
+ LAPACK_INT i;
+ LAPACK_INT j;
+ double result;
+ double value;
+ double ratio;
+ double denom;
+
+ if ( NCOLS < 0 || (uplo != LAPACK_UPPER_TRIANGLE && uplo != LAPACK_LOWER_TRIANGLE) ) {
+ return STDLIB_CONSTANT_FLOAT64_NAN;
+ }
+ if ( NCOLS == 0 ) {
+ return 1.0;
+ }
+ // The scratch index NCOLS+j must fit the configured integer ABI.
+#ifdef LAPACK_ILP64
+ if ( NCOLS > INT64_MAX/2 || sw == 0 ) {
+#else
+ if ( NCOLS > INT32_MAX/2 || sw == 0 ) {
+#endif
+ return STDLIB_CONSTANT_FLOAT64_NAN;
+ }
+ result = 1.0;
+ for ( i = 0; i < NCOLS; i++ ) {
+ WORK[ ow+(i*sw) ] = 0.0;
+ WORK[ ow+((NCOLS+i)*sw) ] = 0.0;
+ }
+ for ( j = 0; j < NCOLS; j++ ) {
+ start = ( uplo == LAPACK_UPPER_TRIANGLE ) ? 0 : j;
+ stop = ( uplo == LAPACK_UPPER_TRIANGLE ) ? j+1 : NCOLS;
+ index = ow + ((NCOLS+j)*sw);
+ for ( i = start; i < stop; i++ ) {
+ value = stdlib_base_abs( A[ oa+(i*sa1)+(j*sa2) ] );
+ if ( value > WORK[ index ] ) {
+ WORK[ index ] = value;
+ }
+ }
+ }
+ for ( j = 0; j < NCOLS; j++ ) {
+ start = ( uplo == LAPACK_UPPER_TRIANGLE ) ? 0 : j;
+ stop = ( uplo == LAPACK_UPPER_TRIANGLE ) ? j+1 : NCOLS;
+ index = ow + (j*sw);
+ for ( i = start; i < stop; i++ ) {
+ value = stdlib_base_abs( AF[ of+(i*sf1)+(j*sf2) ] );
+ if ( value > WORK[ index ] ) {
+ WORK[ index ] = value;
+ }
+ }
+ }
+ for ( j = 0; j < NCOLS; j++ ) {
+ denom = WORK[ ow+(j*sw) ];
+ if ( denom != 0.0 ) {
+ ratio = WORK[ ow+((NCOLS+j)*sw) ] / denom;
+ if ( ratio < result ) {
+ result = ratio;
+ }
+ }
+ }
+ return result;
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/common.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/common.js
new file mode 100644
index 000000000000..eb6adca629d1
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/common.js
@@ -0,0 +1,259 @@
+/**
+* @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 Float64Array = require( '@stdlib/array/float64' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var min = require( '@stdlib/math/base/special/min' );
+var max = require( '@stdlib/math/base/special/max' );
+var data = require( './fixtures/lapack.json' ).cases;
+
+
+// FUNCTIONS //
+
+/**
+* Packs selected entries into a padded typed view with a byte offset.
+*
+* @private
+* @param {Array} matrix - logical square matrix
+* @param {integer} N - prefix order
+* @param {string} uplo - triangle
+* @param {integer} s1 - row stride
+* @param {integer} s2 - column stride
+* @param {integer} extra - leading guard length
+* @returns {Object} view and offset
+*/
+function pack( matrix, N, uplo, s1, s2, extra ) {
+ var offset;
+ var length;
+ var value;
+ var view;
+ var high;
+ var low;
+ var i;
+ var j;
+
+ low = min( 0, (N-1)*s1 ) + min( 0, (N-1)*s2 );
+ high = max( 0, (N-1)*s1 ) + max( 0, (N-1)*s2 );
+ offset = extra-low;
+ length = extra+high-low+9;
+ view = new Float64Array( length+8 ).subarray( 3, length+3 );
+ for ( i = 0; i < view.length; i++ ) {
+ view[ i ] = Infinity;
+ }
+ for ( j = 0; j < N; j++ ) {
+ for ( i = 0; i < N; i++ ) {
+ if ( (uplo === 'upper' && i <= j) || (uplo === 'lower' && i >= j) ) {
+ value = matrix[ i ][ j ];
+ view[ offset+(i*s1)+(j*s2) ] = ( value === '-0' ) ? -0.0 : value;
+ }
+ }
+ }
+ return {
+ 'view': view,
+ 'offset': offset
+ };
+}
+
+
+// MAIN //
+
+/**
+* Registers mathematical and public contract checks for an implementation.
+*
+* @param {Function} tape - test registration
+* @param {Function} fn - public numerical implementation
+* @param {string} name - implementation label
+*/
+function register( tape, fn, name ) {
+ tape( name+': signature, validated empty prefix and errors', function test( t ) {
+ var invalid;
+ var i;
+
+ t.strictEqual( fn.length, 8, 'main arity' );
+ t.strictEqual( fn.ndarray.length, 13, 'ndarray arity' );
+ t.strictEqual( Object.getOwnPropertyDescriptor( fn, 'ndarray' ).writable, false, 'read-only method' );
+ t.strictEqual( Object.getOwnPropertyDescriptor( fn, 'ndarray' ).enumerable, false, 'non-enumerable method' );
+ t.strictEqual( fn( 'row-major', 'upper', 0, null, NaN, null, Infinity, null ), 1, 'empty main ignores unused storage/LD' );
+ t.strictEqual( fn.ndarray( 'lower', 0, null, NaN, Infinity, null, null, 'x', undefined, null, null, 0, NaN ), 1, 'empty ndarray ignores all unused arguments' );
+ t.throws( function badOrder() {
+ fn( 'bad', 'upper', 0 );
+ }, TypeError, 'layout validated before empty return' );
+ t.throws( function badTriangle() {
+ fn( 'row-major', 'all', 0 );
+ }, TypeError, 'triangle validated before empty return' );
+ invalid = [ -1, 0.5, NaN, Infinity, '1', null, undefined, 9007199254740992 ];
+ for ( i = 0; i < invalid.length; i++ ) {
+ ( function check( value ) {
+ t.throws( function badN() {
+ fn( 'row-major', 'upper', value );
+ }, RangeError, 'invalid prefix' );
+ t.throws( function badND() {
+ fn.ndarray( 'upper', value );
+ }, RangeError, 'invalid ndarray prefix' );
+ })( invalid[ i ] );
+ }
+ t.throws( function badLD() {
+ fn( 'row-major', 'upper', 2, [], 1, [], 2, [] );
+ }, RangeError, 'leading dimension' );
+ t.throws( function badLD() {
+ fn( 'column-major', 'upper', 2, [], 2, [], 1.5, [] );
+ }, RangeError, 'factor leading dimension' );
+ t.throws( function badStride() {
+ fn.ndarray( 'upper', 1, [], 0.5, 1, 0, [], 1, 1, 0, [], 1, 0 );
+ }, RangeError, 'fractional stride' );
+ t.throws( function badOffset() {
+ fn.ndarray( 'upper', 1, [], 1, 1, NaN, [], 1, 1, 0, [], 1, 0 );
+ }, RangeError, 'nonfinite offset' );
+ t.throws( function badScratch() {
+ fn.ndarray( 'upper', 1, [], 1, 1, 0, [], 1, 1, 0, [], 0, 0 );
+ }, RangeError, 'zero scratch stride' );
+ t.end();
+ });
+
+ tape( name+': actual finite LAPACK fixtures in both storage orders', function test( t ) {
+ var expected;
+ var beforeA;
+ var beforeF;
+ var matrixA;
+ var matrixF;
+ var order;
+ var value;
+ var uplo;
+ var work;
+ var ld;
+ var lf;
+ var f;
+ var N;
+ var k;
+ var z;
+ var i;
+
+ for ( k = 0; k < data.length; k++ ) {
+ f = data[ k ];
+ N = f.ncols;
+ uplo = ( f.uplo.toUpperCase() === 'U' ) ? 'upper' : 'lower';
+ for ( z = 0; z < 2; z++ ) {
+ order = ( z === 0 ) ? 'row-major' : 'column-major';
+ ld = N+3;
+ lf = N+5;
+ matrixA = pack( f.A, N, uplo, (z === 0) ? ld : 1, (z === 0) ? 1 : ld, 0 ).view;
+ matrixF = pack( f.AF, N, uplo, (z === 0) ? lf : 1, (z === 0) ? 1 : lf, 0 ).view;
+ beforeA = new Float64Array( matrixA );
+ beforeF = new Float64Array( matrixF );
+ work = new Float64Array( (2*N)+5 );
+ for ( i = 0; i < work.length; i++ ) {
+ work[i] = -123;
+ }
+ value = fn( order, uplo, N, matrixA, ld, matrixF, lf, work );
+ expected = new Float64Array( f.workspace );
+ t.strictEqual( value, f.result, f.name+': reference value' );
+ t.deepEqual( work.subarray( 0, 2*N ), expected, 'reference scratch maxima' );
+ t.deepEqual( matrixA, beforeA, 'A byte-view entries unchanged' );
+ t.deepEqual( matrixF, beforeF, 'AF byte-view entries unchanged' );
+ t.deepEqual( Array.prototype.slice.call( work, 2*N ), [ -123, -123, -123, -123, -123 ], 'scratch suffix guard' );
+ }
+ }
+ t.end();
+ });
+
+ tape( name+': independent views, stored-column counterexample and scratch guards', function test( t ) {
+ var expected;
+ var choices;
+ var matrixA;
+ var matrixF;
+ var beforeA;
+ var beforeF;
+ var offset;
+ var value;
+ var work;
+ var a;
+ var b;
+ var c;
+ var i;
+
+ choices = [ [ 7, 2 ], [ -7, 2 ], [ 2, -7 ], [ -2, -7 ] ];
+ for ( a = 0; a < choices.length; a++ ) {
+ for ( b = 0; b < choices.length; b++ ) {
+ for ( c = -3; c <= 3; c += 2 ) {
+ matrixA = pack( [ [1, 1000, 3], [0, 2, 2], [0, 0, 3] ], 3, 'upper', choices[a][0], choices[a][1], 4 );
+ matrixF = pack( [ [2, 4, 6], [0, 4, 5], [0, 0, 6] ], 3, 'upper', choices[b][0], choices[b][1], 6 );
+ beforeA = new Float64Array( matrixA.view );
+ beforeF = new Float64Array( matrixF.view );
+ offset = ( c < 0 ) ? 4+(5*abs(c)) : 4;
+ work = new Float64Array( 12+(5*abs(c)) ).subarray( 2 );
+ expected = new Float64Array( work.length );
+ for ( i = 0; i < work.length; i++ ) {
+ work[i] = -71;
+ expected[i] = -71;
+ }
+ for ( i = 0; i < 6; i++ ) {
+ expected[ offset+(i*c) ] = [ 2, 4, 6, 1, 1000, 3 ][i];
+ }
+ value = fn.ndarray( 'upper', 3, matrixA.view, choices[a][0], choices[a][1], matrixA.offset, matrixF.view, choices[b][0], choices[b][1], matrixF.offset, work, c, offset );
+ t.strictEqual( value, 0.5, 'column-wise ratio differs from global-max ratio' );
+ t.deepEqual( work, expected, 'all strided scratch entries and guards' );
+ t.deepEqual( matrixA.view, beforeA, 'independent A view unchanged' );
+ t.deepEqual( matrixF.view, beforeF, 'independent AF view unchanged' );
+ }
+ }
+ }
+ t.end();
+ });
+
+ tape( name+': zero read strides, readonly input alias and explicit comparison semantics', function test( t ) {
+ var work;
+ var AF;
+ var sa;
+ var sf;
+ var A;
+ var i;
+ var j;
+
+ for ( i = 0; i < 3; i++ ) {
+ for ( j = 0; j < 3; j++ ) {
+ sa = [ [0, 0], [0, 1], [1, 0] ][i];
+ sf = [ [0, 0], [0, 1], [1, 0] ][j];
+ A = new Float64Array( [1, 1, 1] );
+ AF = new Float64Array( [2, 2, 2] );
+ work = new Float64Array( 6 );
+ t.strictEqual( fn.ndarray( 'lower', 3, A, sa[0], sa[1], 0, AF, sf[0], sf[1], 0, work, 1, 0 ), 0.5, 'zero-stride read view formula' );
+ t.deepEqual( work, new Float64Array( [2, 2, 2, 1, 1, 1] ), 'zero-stride maxima' );
+ }
+ }
+ A = new Float64Array( [1, 2, 3, 4] );
+ work = new Float64Array( 4 );
+ t.strictEqual( fn( 'row-major', 'lower', 2, A, 2, A, 2, work ), 1, 'readonly input alias supported' );
+ t.deepEqual( A, new Float64Array( [1, 2, 3, 4] ), 'aliased inputs unchanged' );
+ work = new Float64Array( 2 );
+ t.strictEqual( fn( 'row-major', 'upper', 1, new Float64Array([NaN]), 1, new Float64Array([2]), 1, work ), 0, 'own NaN comparison policy, not universal reference parity' );
+ t.deepEqual( work, new Float64Array([2, 0]), 'NaN ignored by explicit greater comparison' );
+ t.strictEqual( fn( 'row-major', 'upper', 1, new Float64Array([Infinity]), 1, new Float64Array([Infinity]), 1, work ), 1, 'unordered ratio leaves cap unchanged' );
+ t.strictEqual( fn( 'row-major', 'upper', 1, new Float64Array([-0.0]), 1, new Float64Array([-0.0]), 1, work ), 1, 'zero denominator ignored' );
+ t.strictEqual( 1/work[0], Infinity, 'maxima have positive zero' );
+ t.end();
+ });
+}
+
+
+// EXPORTS //
+
+module.exports = register;
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/fixtures/lapack.json b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/fixtures/lapack.json
new file mode 100644
index 000000000000..d2c412b2ab38
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/fixtures/lapack.json
@@ -0,0 +1,8186 @@
+{
+ "reference": "Reference-LAPACK/lapack@74d4d63747bf1770bb60e1110c2075227baa324e SRC/dla_porpvgrw.f",
+ "oracle": "Unchanged pinned Fortran executed at O0 and O3; finite results/workspaces equal. Includes actual SciPy 1.17 DPOTRF factors; synthetic cases are kernel checks.",
+ "cases": [
+ {
+ "name": "zero-prefix-0",
+ "uplo": "U",
+ "n_total": 0,
+ "ncols": 0,
+ "lda": 3,
+ "ldaf": 5,
+ "input_offsets": [
+ 5,
+ 7
+ ],
+ "work_offset": 11,
+ "result": 1.0,
+ "workspace": [],
+ "A": [],
+ "AF": [],
+ "finite_mathematical_check": true
+ },
+ {
+ "name": "zero-prefix-1",
+ "uplo": "U",
+ "n_total": 1,
+ "ncols": 0,
+ "lda": 4,
+ "ldaf": 6,
+ "input_offsets": [
+ 5,
+ 7
+ ],
+ "work_offset": 11,
+ "result": 1.0,
+ "workspace": [],
+ "A": [
+ [
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+ "name": "zero-factor-column",
+ "uplo": "U",
+ "n_total": 3,
+ "ncols": 3,
+ "lda": 6,
+ "ldaf": 8,
+ "input_offsets": [
+ 5,
+ 7
+ ],
+ "work_offset": 11,
+ "result": 0.5,
+ "workspace": [
+ 0.5,
+ 0.0,
+ 3.0,
+ 0.25,
+ 4.0,
+ 9.0
+ ],
+ "A": [
+ [
+ 0.25,
+ 0.5,
+ -1.0
+ ],
+ [
+ 0.5,
+ 4.0,
+ 2.0
+ ],
+ [
+ -1.0,
+ 2.0,
+ 9.0
+ ]
+ ],
+ "AF": [
+ [
+ 0.5,
+ 0.0,
+ 2.0
+ ],
+ [
+ 0.0,
+ 0.0,
+ 0.0
+ ],
+ [
+ 2.0,
+ 0.0,
+ 3.0
+ ]
+ ],
+ "finite_mathematical_check": true
+ },
+ {
+ "name": "zero-factor-column",
+ "uplo": "L",
+ "n_total": 3,
+ "ncols": 3,
+ "lda": 6,
+ "ldaf": 8,
+ "input_offsets": [
+ 5,
+ 7
+ ],
+ "work_offset": 11,
+ "result": 0.5,
+ "workspace": [
+ 2.0,
+ 0.0,
+ 3.0,
+ 1.0,
+ 4.0,
+ 9.0
+ ],
+ "A": [
+ [
+ 0.25,
+ 0.5,
+ -1.0
+ ],
+ [
+ 0.5,
+ 4.0,
+ 2.0
+ ],
+ [
+ -1.0,
+ 2.0,
+ 9.0
+ ]
+ ],
+ "AF": [
+ [
+ 0.5,
+ 0.0,
+ 2.0
+ ],
+ [
+ 0.0,
+ 0.0,
+ 0.0
+ ],
+ [
+ 2.0,
+ 0.0,
+ 3.0
+ ]
+ ],
+ "finite_mathematical_check": true
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.js
new file mode 100644
index 000000000000..95ad29505708
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.js
@@ -0,0 +1,31 @@
+/**
+* @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 tape = require( 'tape' );
+var register = require( './common.js' );
+var fn = require( './../lib/main.js' );
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof fn, 'function', 'main export is a function' );
+ t.end();
+});
+
+register( tape, fn, 'JavaScript' );
diff --git a/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.native.js b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.native.js
new file mode 100644
index 000000000000..fa42ceadde5a
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dla-porpvgrw/test/test.native.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';
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var Float64Array = require( '@stdlib/array/float64' );
+var register = require( './common.js' );
+var factory = require( './../lib/factory.js' );
+var canUseNative = require( './../lib/can_use_native.js' );
+var base = require( './../lib/base.js' );
+var publicFn = require( './../lib' );
+var jsFn = require( './../lib/main.js' );
+var native = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var addon = tryRequire( resolve( __dirname, './../src/addon.node' ) );
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof publicFn, 'function', 'main export is a function' );
+ t.end();
+});
+
+if ( !(native instanceof Error) ) {
+ register( tape, native, 'native' );
+}
+tape( 'public index selects available backend', function test( t ) {
+ var expected = ( native instanceof Error ) ? jsFn : native;
+ t.strictEqual( publicFn, expected, 'public backend identity' );
+ t.end();
+});
+tape( 'compiled addon and conservative metadata dispatch actually execute', {
+ 'skip': addon instanceof Error
+}, function test( t ) {
+ var offset;
+ var calls;
+ var work;
+ var fn;
+ var AF;
+ var A;
+ var i;
+
+ calls = 0;
+
+ fn = factory( function dispatch() {
+ if ( canUseNative( arguments ) ) {
+ calls += 1;
+ return addon.apply( null, arguments );
+ }
+ return base.apply( null, arguments );
+ });
+ A = new Float64Array( [0.25] );
+ AF = new Float64Array( [0.5] );
+ work = new Float64Array( 2 );
+ t.strictEqual( fn( 'row-major', 'upper', 1, A, 1, AF, 1, work ), 0.5, 'compiled typed call' );
+ t.strictEqual( calls, 1, 'actual addon called' );
+ t.strictEqual( fn.ndarray( 'upper', 1, A, 2147483648, 1, 0, AF, 1, -2147483648, 0, work, 1, 0 ), 0.5, 'wider unused metadata remains valid JS' );
+ t.strictEqual( calls, 1, 'wider metadata falls back across integer ABIs' );
+ for ( i = -3; i <= 3; i += 2 ) {
+ offset = ( i < 0 ) ? 6 : 3;
+ work = new Float64Array( 10 );
+ t.strictEqual( fn.ndarray( 'upper', 1, A, 0, 0, 0, AF, 0, 0, 0, work, i, offset ), 0.5, 'actual strided scratch call' );
+ }
+ t.strictEqual( calls, 5, 'five instrumented actual native calls' );
+ t.end();
+});