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<html>
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<title>Docs For Class MagicSquareExample</title>
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<td class="header_top">JAMA</td>
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[ <a href="../classtrees_JAMA.html" class="menu">class tree: JAMA</a> ]
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<p><a href="../todolist.html">Todo List</a></p>
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<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 />
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<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 />
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<h1>Class: MagicSquareExample</h1>
Source Location: /PHPExcel/Shared/JAMA/examples/MagicSquareExample.php<br /><br />
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<h3><a href="#class_details">Class Overview</a></h3>
<pre></pre><br />
<div class="description">Example of use of Matrix Class, featuring magic squares.</div><br /><br />
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<h3><a href="#class_methods">Methods</a></h3>
<ul>
<li><a href="../JAMA/MagicSquareExample.html#methodmagic">magic</a></li>
<li><a href="../JAMA/MagicSquareExample.html#methodmain">main</a></li>
<li><a href="../JAMA/MagicSquareExample.html#methodmicrotime_float">microtime_float</a></li>
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<a name="class_details"></a>
<h3>Class Details</h3>
<div class="tags">
[line 11]<br />
Example of use of Matrix Class, featuring magic squares.<br /><br /></div><br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div><br />
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<a name="class_methods"></a>
<h3>Class Methods</h3>
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<a name="methodmagic"></a>
<h3>method magic <span class="smalllinenumber">[line 17]</span></h3>
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<code>void magic(
int
$n)</code>
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Generate magic square test matrix.<br /><br /><br /><br />
<h4>Parameters:</h4>
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<td class="type">int&nbsp;&nbsp;</td>
<td><b>$n</b>&nbsp;&nbsp;</td>
<td>n dimension of matrix</td>
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<div class="top">[ <a href="#top">Top</a> ]</div>
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<a name="methodmain"></a>
<h3>method main <span class="smalllinenumber">[line 100]</span></h3>
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<code>void main(
)</code>
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Tests LU, QR, SVD and symmetric Eig decompositions.<br /><br /><p>n = order of magic square. trace = diagonal sum, should be the magic sum, (n^3 + n)/2. max_eig = maximum eigenvalue of (A + A')/2, should equal trace. rank = linear algebraic rank, should equal n if n is odd, be less than n if n is even. cond = L_2 condition number, ratio of singular values. lu_res = test of LU factorization, norm1(L*U-A(p,:))/(n*eps). qr_res = test of QR factorization, norm1(Q*R-A)/(n*eps).</p><br /><br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
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<a name="methodmicrotime_float"></a>
<h3>method microtime_float <span class="smalllinenumber">[line 83]</span></h3>
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<code>void microtime_float(
)</code>
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Simple function to replicate PHP 5 behaviour<br /><br /><br /><br />
<div class="top">[ <a href="#top">Top</a> ]</div>
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<div class="credit">
<hr />
Documentation generated on Fri, 12 Oct 2012 00:16:40 +0200 by <a href="http://www.phpdoc.org">phpDocumentor 1.4.4</a>
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