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‎lapack/base/dpttrf/base.js.html

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<span class="cline-any cline-neutral">&nbsp;</span></td><td class="text"><pre class="prettyprint lang-js">/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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&nbsp;
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'use strict';
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&nbsp;
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// MAIN //
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&nbsp;
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/**
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* Computes the `L * D * L^T` factorization of a real symmetric positive definite tridiagonal matrix `A`.
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*
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* @private
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* @param {NonNegativeInteger} N - order of matrix `A`
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* @param {Float64Array} D - the `N` diagonal elements of `A`
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* @param {integer} strideD - stride length for `D`
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* @param {NonNegativeInteger} offsetD - starting index of `D`
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* @param {Float64Array} E - the `N-1` subdiagonal elements of `A`
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* @param {integer} strideE - stride length for `E`
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* @param {NonNegativeInteger} offsetE - starting index of `E`
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* @returns {integer} status code
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*
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* @example
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* var Float64Array = require( '@stdlib/array/float64' );
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*
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* var D = new Float64Array( [ 4.0, 5.0, 6.0 ] );
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* var E = new Float64Array( [ 1.0, 2.0 ] );
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*
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* dpttrf( 3, D, 1, 0, E, 1, 0 );
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* // D =&gt; &lt;Float64Array&gt;[ 4, 4.75, ~5.15789 ]
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* // E =&gt; &lt;Float64Array&gt;[ 0.25, ~0.4210 ]
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*/
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function dpttrf( N, D, strideD, offsetD, E, strideE, offsetE ) {
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var id;
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var ie;
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var v;
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var i;
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&nbsp;
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if ( N === 0 ) {
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return 0;
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}
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ie = offsetE;
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id = offsetD;
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&nbsp;
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// Compute the `L * D * L^T` factorization of `A`...
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for ( i = 0; i &lt; N-1; i++ ) {
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// If `D[k] &lt;= 0`, then the matrix is not positive definite...
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if ( D[ id ] &lt;= 0.0 ) {
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return i+1;
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}
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// Solve for E[k] and D[k+1]...
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v = E[ ie ];
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E[ ie ] = v / D[ id ];
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&nbsp;
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id += strideD;
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D[ id ] -= E[ ie ] * v;
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&nbsp;
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ie += strideE;
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}
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// Check `D[k]` for positive definiteness...
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if ( D[ id ] &lt;= 0.0 ) {
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return N;
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}
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return 0;
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}
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&nbsp;
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&nbsp;
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// EXPORTS //
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&nbsp;
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module.exports = dpttrf;
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&nbsp;</pre></td></tr></table></pre>
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<div class='push'></div><!-- for sticky footer -->
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</div><!-- /wrapper -->
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<div class='footer quiet pad2 space-top1 center small'>
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Code coverage generated by
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<a href="https://istanbul.js.org/" target="_blank" rel="noopener noreferrer">istanbul</a>
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at 2024-07-28T11:31:54.082Z
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</div>
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<script src="../../../../prettify.js"></script>
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<script>
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window.onload = function () {
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prettyPrint();
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};
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</script>
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</html>
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‎lapack/base/dpttrf/coverage.ndjson

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[308,308,100,22,22,100,3,3,100,308,308,100,"0630400bbf2b87197035c768e37a9ec6430db6b8","2024-07-28 04:29:57 -0700"]

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