<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<title>This function returns the eigenvalues for a given square matrix</title>
</head>
<body><div class="manualnavbar" style="text-align: center;">
<div class="prev" style="text-align: left; float: left;"><a href="class.lapack.html">Lapack</a></div>
<div class="next" style="text-align: right; float: right;"><a href="lapack.identity.html">Lapack::identity</a></div>
<div class="up"><a href="class.lapack.html">Lapack</a></div>
<div class="home"><a href="index.html">PHP Manual</a></div>
</div><hr /><div id="lapack.eigenvalues" class="refentry">
<div class="refnamediv">
<h1 class="refname">Lapack::eigenValues</h1>
<p class="verinfo">(PECL lapack >= 0.1.0)</p><p class="refpurpose"><span class="refname">Lapack::eigenValues</span> — <span class="dc-title">This function returns the eigenvalues for a given square matrix</span></p>
</div>
<div class="refsect1 description" id="refsect1-lapack.eigenvalues-description">
<h3 class="title">Description</h3>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><strong>Lapack::eigenValues</strong></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
[, <span class="methodparam"><span class="type">array</span> <code class="parameter">$left</code></span>
[, <span class="methodparam"><span class="type">array</span> <code class="parameter">$right</code></span>
]] )</div>
<p class="para rdfs-comment">
Calculate the eigenvalues for a square matrix, and optionally calculate the left and right eigenvectors.
</p>
</div>
<div class="refsect1 parameters" id="refsect1-lapack.eigenvalues-parameters">
<h3 class="title">Parameters</h3>
<dl>
<dt>
<span class="term"><em><code class="parameter">a</code></em></span>
<dd>
<p class="para">
The matrix to calculate the eigenvalues for.
</p>
</dd>
</dt>
<dt>
<span class="term"><em><code class="parameter">left</code></em></span>
<dd>
<p class="para">
Optional parameter - if an array is passed here, it will be filled with the left eigenvectors
</p>
</dd>
</dt>
<dt>
<span class="term"><em><code class="parameter">right</code></em></span>
<dd>
<p class="para">
Optional parameter - if an array is passed here, it will be filled with the right eigenvectors
</p>
</dd>
</dt>
</dl>
</div>
<div class="refsect1 returnvalues" id="refsect1-lapack.eigenvalues-returnvalues">
<h3 class="title">Return Values</h3>
<p class="para">
Returns an array of arrays representing the eigenvalues for the array.
</p>
</div>
<div class="refsect1 examples" id="refsect1-lapack.eigenvalues-examples">
<h3 class="title">Examples</h3>
<p class="para">
<div class="example" id="example-3441">
<p><strong>Example #1 Using <span class="function"><strong>Lapack::eigenValues()</strong></span>:</strong></p>
<div class="example-contents">
<div class="phpcode"><code><span style="color: #000000">
<span style="color: #0000BB"><?php<br /><br /> $a </span><span style="color: #007700">= array(<br /> array(-</span><span style="color: #0000BB">1.01</span><span style="color: #007700">, </span><span style="color: #0000BB">0.86</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.60</span><span style="color: #007700">, </span><span style="color: #0000BB">3.31</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.81 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">3.98</span><span style="color: #007700">, </span><span style="color: #0000BB">0.53</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.04</span><span style="color: #007700">, </span><span style="color: #0000BB">5.29</span><span style="color: #007700">, </span><span style="color: #0000BB">3.55 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">3.30</span><span style="color: #007700">, </span><span style="color: #0000BB">8.26</span><span style="color: #007700">, -</span><span style="color: #0000BB">3.89</span><span style="color: #007700">, </span><span style="color: #0000BB">8.20</span><span style="color: #007700">, -</span><span style="color: #0000BB">1.51 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">4.43</span><span style="color: #007700">, </span><span style="color: #0000BB">4.96</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.66</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.33</span><span style="color: #007700">, </span><span style="color: #0000BB">6.18 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">7.31</span><span style="color: #007700">, -</span><span style="color: #0000BB">6.43</span><span style="color: #007700">, -</span><span style="color: #0000BB">6.16</span><span style="color: #007700">, </span><span style="color: #0000BB">2.47</span><span style="color: #007700">, </span><span style="color: #0000BB">5.58 </span><span style="color: #007700">),<br /> );<br /><br /> </span><span style="color: #0000BB">$result </span><span style="color: #007700">= </span><span style="color: #0000BB">Lapack</span><span style="color: #007700">::</span><span style="color: #0000BB">eigenValues</span><span style="color: #007700">(</span><span style="color: #0000BB">$a</span><span style="color: #007700">);<br /><br /> </span><span style="color: #0000BB">?></span>
</span>
</code></div>
</div>
</div>
</p>
</div>
</div><hr /><div class="manualnavbar" style="text-align: center;">
<div class="prev" style="text-align: left; float: left;"><a href="class.lapack.html">Lapack</a></div>
<div class="next" style="text-align: right; float: right;"><a href="lapack.identity.html">Lapack::identity</a></div>
<div class="up"><a href="class.lapack.html">Lapack</a></div>
<div class="home"><a href="index.html">PHP Manual</a></div>
</div></body></html>
