chore: add docs

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: passed
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: failed
---

Author: ShabiShett07

lib/node_modules/@stdlib/blas/base/sgbmv/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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 uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var sgbmv = require( './../lib/sgbmv.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array dimension size
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var x = uniform( N, -10.0, 10.0, options );
+	var y = uniform( N, -10.0, 10.0, options );
+	var A = [ 0,  9, 10,
+        11, 12,  5,
+        1,  2, 0 ];
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = sgbmv( 'row-major', 'no-transpose', N, N, 1, 1, 1.0, A, N, x, 1, 1.0, y, 1 );
+			if ( isnanf( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnanf( z[ i%z.length ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var len;
+	var f;
+
+	len = floor( pow( pow( 10, 1 ), 1.0/2.0 ) );
+	f = createBenchmark( len );
+	bench( pkg+':size='+(len*len), f );
+}
+
+main();

lib/node_modules/@stdlib/blas/base/sgbmv/benchmark/benchmark.ndarray.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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 uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var sgbmv = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array dimension size
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var x = uniform( N, -10.0, 10.0, options );
+	var y = uniform( N, -10.0, 10.0, options );
+    var A = [ 0,  9, 10,
+            11, 12,  5,
+            1,  2, 0 ];
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = sgbmv( 'no-transpose', N, N, 1.0, 1, 1, A, N, 1, 0, x, 1, 0, 1.0, y, 1, 0 );
+			if ( isnanf( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnanf( z[ i%z.length ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var len;
+	var f;
+
+	len = floor( pow( pow( 10, 1 ), 1.0/2.0 ) );
+	f = createBenchmark( len );
+	bench( pkg+':size='+(len*len), f );
+}
+
+main();

lib/node_modules/@stdlib/blas/base/sgbmv/docs/repl.txt

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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, TransposeOperation } from '@stdlib/types/blas';
+
+/**
+* Interface describing `sgbmv`.
+*/
+interface Routine {
+	/**
+	* Performs one of the matrix-vector operations `y := α*A*x + β*y,   or   y := α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors and `A` is an `M` by `N` band matrix, with `KL` sub-diagonals and `KU` super-diagonals.
+	*
+	* @param order - storage layout
+	* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+	* @param M - number of rows in the matrix `A`
+	* @param N - number of columns in the matrix `A`
+    * @param KL - number of sub-diagonals of matrix `A`
+    * @param KU - number of super-diagonals of matrix `A`
+	* @param alpha - scalar constant
+	* @param A - input matrix
+	* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+	* @param x - first input vector
+	* @param strideX - `x` stride length
+	* @param beta - scalar constant
+	* @param y - second input vector
+	* @param strideY - `y` stride length
+	* @returns `y`
+	*
+	* @example
+	* var Float32Array = require( '@stdlib/array/float32' );
+    *
+    * var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 0.0 ] );
+    * var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+    * var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+    *
+    * sgbmv( 'row-major', 'no-transpose', 3, 3, 1, 1, 1.0, A, 3, x, 1, 1.0, y, 1 );
+    * // y => <Float32Array>[ 7.0, 16.0 ]
+	*/
+	( order: Layout, trans: TransposeOperation, M: number, N: number,  KL: number, KU: number, alpha: number, A: Float32Array, LDA: number, x: Float32Array, strideX: number, beta: number, y: Float32Array, strideY: number ): Float32Array;
+
+	/**
+	* Performs one of the matrix-vector operations `y := α*A*x + β*y,   or   y := α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors and `A` is an `M` by `N` band matrix, with `KL` sub-diagonals and `KU` super-diagonals.
+	*
+	* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+	* @param M - number of rows in the matrix `A`
+	* @param N - number of columns in the matrix `A`
+    * @param KL - number of sub-diagonals of matrix `A`
+    * @param KU - number of super-diagonals of matrix `A`
+	* @param alpha - scalar constant
+	* @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 x - first input vector
+	* @param strideX - `x` stride length
+	* @param offsetX - starting index for `x`
+	* @param beta - scalar constant
+	* @param y - second input vector
+	* @param strideY - `y` stride length
+	* @param offsetY - starting index for `y`
+	* @returns `y`
+	*
+	* @example
+	* var Float32Array = require( '@stdlib/array/float32' );
+    *
+    * var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 0.0 ] );
+    * var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+    * var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+    *
+    * sgbmv( 'no-transpose', 3, 3, 1, 1, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 );
+    * // y => <Float32Array>[ 7.0, 16.0 ]
+	*/
+	ndarray( trans: TransposeOperation, M: number, N: number, KL: number, KU: number, alpha: number, A: Float32Array, strideA1: number, strideA2: number, offsetA: number, x: Float32Array, strideX: number, offsetX: number, beta: number, y: Float32Array, strideY: number, offsetY: number ): Float32Array;
+}
+
+/**
+* Performs one of the matrix-vector operations `y := α*A*x + β*y,   or   y := α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors and `A` is an `M` by `N` band matrix, with `KL` sub-diagonals and `KU` super-diagonals.
+*
+* @param order - storage layout
+* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+* @param M - number of rows in the matrix `A`
+* @param N - number of columns in the matrix `A`
+* @param KL - number of sub-diagonals of matrix `A`
+* @param KU - number of super-diagonals of matrix `A`
+* @param alpha - scalar constant
+* @param A - input matrix
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param x - first input vector
+* @param strideX - `x` stride length
+* @param beta - scalar constant
+* @param y - second input vector
+* @param strideY - `y` stride length
+* @returns `y`
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 0.0 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* sgbmv( 'row-major', 'no-transpose', 3, 3, 1, 1, 1.0, A, 3, x, 1, 1.0, y, 1 );
+* // y => <Float32Array>[ 7.0, 16.0 ]
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 0.0 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* sgbmv.ndarray( 'no-transpose', 3, 3, 1, 1, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 );
+* // y => <Float32Array>[ 7.0, 16.0 ]
+*/
+declare var sgbmv: Routine;
+
+
+// EXPORTS //
+
+export = sgbmv;