pv_project/site/config/PHPExcel/Documentation/API/JAMA/CholeskyDecomposition.html
2025-07-17 10:15:19 +02:00

320 lines
12 KiB
HTML

<html>
<head>
<title>Docs For Class CholeskyDecomposition</title>
<link rel="stylesheet" type="text/css" href="../media/style.css">
</head>
<body>
<table border="0" cellspacing="0" cellpadding="0" height="48" width="100%">
<tr>
<td class="header_top">JAMA</td>
</tr>
<tr><td class="header_line"><img src="../media/empty.png" width="1" height="1" border="0" alt="" /></td></tr>
<tr>
<td class="header_menu">
[ <a href="../classtrees_JAMA.html" class="menu">class tree: JAMA</a> ]
[ <a href="../elementindex_JAMA.html" class="menu">index: JAMA</a> ]
[ <a href="../elementindex.html" class="menu">all elements</a> ]
</td>
</tr>
<tr><td class="header_line"><img src="../media/empty.png" width="1" height="1" border="0" alt="" /></td></tr>
</table>
<table width="100%" border="0" cellpadding="0" cellspacing="0">
<tr valign="top">
<td width="200" class="menu">
<div id="todolist">
<p><a href="../todolist.html">Todo List</a></p>
</div>
<b>Packages:</b><br />
<a href="../li_PHPExcel.html">PHPExcel</a><br />
<a href="../li_JAMA.html">JAMA</a><br />
<a href="../li_Math_Stats.html">Math_Stats</a><br />
<a href="../li_PHPExcel_CachedObjectStorage.html">PHPExcel_CachedObjectStorage</a><br />
<a href="../li_PHPExcel_Calculation.html">PHPExcel_Calculation</a><br />
<a href="../li_PHPExcel_Cell.html">PHPExcel_Cell</a><br />
<a href="../li_PHPExcel_Chart.html">PHPExcel_Chart</a><br />
<a href="../li_PHPExcel_Chart_Renderer.html">PHPExcel_Chart_Renderer</a><br />
<a href="../li_PHPExcel_Reader.html">PHPExcel_Reader</a><br />
<a href="../li_PHPExcel_Reader_Excel5.html">PHPExcel_Reader_Excel5</a><br />
<a href="../li_PHPExcel_Reader_Excel2007.html">PHPExcel_Reader_Excel2007</a><br />
<a href="../li_PHPExcel_RichText.html">PHPExcel_RichText</a><br />
<a href="../li_PHPExcel_Settings.html">PHPExcel_Settings</a><br />
<a href="../li_PHPExcel_Shared.html">PHPExcel_Shared</a><br />
<a href="../li_PHPExcel_Shared_Escher.html">PHPExcel_Shared_Escher</a><br />
<a href="../li_PHPExcel_Shared_OLE.html">PHPExcel_Shared_OLE</a><br />
<a href="../li_PHPExcel_Shared_Trend.html">PHPExcel_Shared_Trend</a><br />
<a href="../li_PHPExcel_Shared_ZipArchive.html">PHPExcel_Shared_ZipArchive</a><br />
<a href="../li_PHPExcel_Style.html">PHPExcel_Style</a><br />
<a href="../li_PHPExcel_Worksheet.html">PHPExcel_Worksheet</a><br />
<a href="../li_PHPExcel_Worksheet_Drawing.html">PHPExcel_Worksheet_Drawing</a><br />
<a href="../li_PHPExcel_Writer.html">PHPExcel_Writer</a><br />
<a href="../li_PHPExcel_Writer_Excel5.html">PHPExcel_Writer_Excel5</a><br />
<a href="../li_PHPExcel_Writer_Excel2007.html">PHPExcel_Writer_Excel2007</a><br />
<br /><br />
<b>Files:</b><br />
<div class="package">
<a href="../JAMA/_PHPExcel---Shared---JAMA---examples---benchmark.php.html"> benchmark.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---CholeskyDecomposition.php.html"> CholeskyDecomposition.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---EigenvalueDecomposition.php.html"> EigenvalueDecomposition.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---utils---Error.php.html"> Error.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---LUDecomposition.php.html"> LUDecomposition.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---examples---MagicSquareExample.php.html"> MagicSquareExample.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---utils---Maths.php.html"> Maths.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---Matrix.php.html"> Matrix.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---QRDecomposition.php.html"> QRDecomposition.php
</a><br>
<a href="../JAMA/_PHPExcel---Shared---JAMA---SingularValueDecomposition.php.html"> SingularValueDecomposition.php
</a><br>
</div><br />
<b>Classes:</b><br />
<div class="package">
<a href="../JAMA/Benchmark.html">Benchmark</a><br />
<a href="../JAMA/CholeskyDecomposition.html">CholeskyDecomposition</a><br />
<a href="../JAMA/EigenvalueDecomposition.html">EigenvalueDecomposition</a><br />
<a href="../JAMA/MagicSquareExample.html">MagicSquareExample</a><br />
<a href="../JAMA/PHPExcel_Shared_JAMA_LUDecomposition.html">PHPExcel_Shared_JAMA_LUDecomposition</a><br />
<a href="../JAMA/PHPExcel_Shared_JAMA_Matrix.html">PHPExcel_Shared_JAMA_Matrix</a><br />
<a href="../JAMA/PHPExcel_Shared_JAMA_QRDecomposition.html">PHPExcel_Shared_JAMA_QRDecomposition</a><br />
<a href="../JAMA/SingularValueDecomposition.html">SingularValueDecomposition</a><br />
</div>
</td>
<td>
<table cellpadding="10" cellspacing="0" width="100%" border="0"><tr><td valign="top">
<h1>Class: CholeskyDecomposition</h1>
Source Location: /PHPExcel/Shared/JAMA/CholeskyDecomposition.php<br /><br />
<table width="100%" border="0">
<tr><td valign="top">
<h3><a href="#class_details">Class Overview</a></h3>
<pre></pre><br />
<div class="description"></div><br /><br />
<h4>Author(s):</h4>
<ul>
<li>Michael Bommarito</li>
<li>Paul Meagher</li>
</ul>
<h4>Version:</h4>
<ul>
<li>1.2</li>
</ul>
</td>
<td valign="top">
<h3><a href="#class_methods">Methods</a></h3>
<ul>
<li><a href="../JAMA/CholeskyDecomposition.html#method__construct">__construct</a></li>
<li><a href="../JAMA/CholeskyDecomposition.html#methodgetL">getL</a></li>
<li><a href="../JAMA/CholeskyDecomposition.html#methodisSPD">isSPD</a></li>
<li><a href="../JAMA/CholeskyDecomposition.html#methodsolve">solve</a></li>
</ul>
</td>
</tr></table>
<hr />
<table width="100%" border="0"><tr>
</tr></table>
<hr />
<a name="class_details"></a>
<h3>Class Details</h3>
<div class="tags">
[line <a href="../__filesource/fsource_JAMA__PHPExcelSharedJAMACholeskyDecomposition.php.html#a18">18</a>]<br />
<br /><br />
<h4>Tags:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td><b>author:</b>&nbsp;&nbsp;</td><td>Michael Bommarito</td>
</tr>
<tr>
<td><b>author:</b>&nbsp;&nbsp;</td><td>Paul Meagher</td>
</tr>
<tr>
<td><b>version:</b>&nbsp;&nbsp;</td><td>1.2</td>
</tr>
</table>
</div>
</div><br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div><br />
<hr />
<a name="class_methods"></a>
<h3>Class Methods</h3>
<div class="tags">
<hr />
<a name="method__construct"></a>
<h3>constructor __construct <span class="smalllinenumber">[line <a href="../__filesource/fsource_JAMA__PHPExcelSharedJAMACholeskyDecomposition.php.html#a48">48</a>]</span></h3>
<div class="function">
<table width="90%" border="0" cellspacing="0" cellpadding="1"><tr><td class="code_border">
<table width="100%" border="0" cellspacing="0" cellpadding="2"><tr><td class="code">
<code>CholeskyDecomposition __construct(
[mixed
$A = null])</code>
</td></tr></table>
</td></tr></table><br />
CholeskyDecomposition<br /><br /><p>Class constructor - decomposes symmetric positive definite matrix</p><br /><br /><br />
<h4>Tags:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td><b>access:</b>&nbsp;&nbsp;</td><td>public</td>
</tr>
</table>
</div>
<br /><br />
<h4>Parameters:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td class="type">mixed&nbsp;&nbsp;</td>
<td><b>$A</b>&nbsp;&nbsp;</td>
<td>Matrix square symmetric positive definite matrix</td>
</tr>
</table>
</div><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
</div>
<hr />
<a name="methodgetL"></a>
<h3>method getL <span class="smalllinenumber">[line <a href="../__filesource/fsource_JAMA__PHPExcelSharedJAMACholeskyDecomposition.php.html#a97">97</a>]</span></h3>
<div class="function">
<table width="90%" border="0" cellspacing="0" cellpadding="1"><tr><td class="code_border">
<table width="100%" border="0" cellspacing="0" cellpadding="2"><tr><td class="code">
<code>Matrix getL(
)</code>
</td></tr></table>
</td></tr></table><br />
getL<br /><br /><p>Return triangular factor.</p><br /><br /><br />
<h4>Tags:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td><b>return:</b>&nbsp;&nbsp;</td><td>Lower triangular matrix</td>
</tr>
<tr>
<td><b>access:</b>&nbsp;&nbsp;</td><td>public</td>
</tr>
</table>
</div>
<br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
</div>
<hr />
<a name="methodisSPD"></a>
<h3>method isSPD <span class="smalllinenumber">[line <a href="../__filesource/fsource_JAMA__PHPExcelSharedJAMACholeskyDecomposition.php.html#a86">86</a>]</span></h3>
<div class="function">
<table width="90%" border="0" cellspacing="0" cellpadding="1"><tr><td class="code_border">
<table width="100%" border="0" cellspacing="0" cellpadding="2"><tr><td class="code">
<code>boolean isSPD(
)</code>
</td></tr></table>
</td></tr></table><br />
Is the matrix symmetric and positive definite?<br /><br /><br /><br />
<h4>Tags:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td><b>access:</b>&nbsp;&nbsp;</td><td>public</td>
</tr>
</table>
</div>
<br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
</div>
<hr />
<a name="methodsolve"></a>
<h3>method solve <span class="smalllinenumber">[line <a href="../__filesource/fsource_JAMA__PHPExcelSharedJAMACholeskyDecomposition.php.html#a108">108</a>]</span></h3>
<div class="function">
<table width="90%" border="0" cellspacing="0" cellpadding="1"><tr><td class="code_border">
<table width="100%" border="0" cellspacing="0" cellpadding="2"><tr><td class="code">
<code>Matrix solve(
[$B
$B = null])</code>
</td></tr></table>
</td></tr></table><br />
Solve A*X = B<br /><br /><br /><br />
<h4>Tags:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td><b>return:</b>&nbsp;&nbsp;</td><td>L * L' * X = B</td>
</tr>
<tr>
<td><b>access:</b>&nbsp;&nbsp;</td><td>public</td>
</tr>
</table>
</div>
<br /><br />
<h4>Parameters:</h4>
<div class="tags">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td class="type">$B&nbsp;&nbsp;</td>
<td><b>$B</b>&nbsp;&nbsp;</td>
<td>Row-equal matrix</td>
</tr>
</table>
</div><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
</div>
</div><br />
<div class="credit">
<hr />
Documentation generated on Fri, 12 Oct 2012 00:15:27 +0200 by <a href="http://www.phpdoc.org">phpDocumentor 1.4.4</a>
</div>
</td></tr></table>
</td>
</tr>
</table>
</body>
</html>