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<?xml version='1.0'?>
<html xmlns='http://www.w3.org/1999/xhtml'
      xmlns:math='http://www.w3.org/1998/Math/MathML'
>
<head>
<title>Determinant Using Lu Factorization: Example and Test</title>
<meta http-equiv='Content-Type' content='text/html' charset='utf-8'/>
<meta name="description" id="description" content="Determinant Using Lu Factorization: Example and Test"/>
<meta name="keywords" id="keywords" content=" determinant using lu factorization: example and test by minors "/>
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body { color : black }
body { background-color : white }
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A:active { color : purple }
</style>
<script type='text/javascript' language='JavaScript' src='_det_by_lu.cpp_xml.js'>
</script>
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<body>
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<center><b><big><big>Determinant Using Lu Factorization: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'> 

# include &lt;cppad/cppad.hpp&gt;
# include &lt;cppad/speed/det_by_lu.hpp&gt;

bool det_by_lu()
{	bool ok = true;

	// dimension of the matrix
	size_t n = 3;

	// construct the determinat object
	CppAD::det_by_lu&lt;double&gt; Det(n);

	double  a[] = {
		1., 2., 3.,  // a[0] a[1] a[2]
		3., 2., 1.,  // a[3] a[4] a[5]
		2., 1., 2.   // a[6] a[7] a[8]
	};
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(double) A(9);
	size_t i;
	for(i = 0; i &lt; 9; i++)
		A[i] = a[i];


	// evaluate the determinant
	double det = Det(A);

	double check;
	check = a[0]*(a[4]*a[8] - a[5]*a[7])
	      - a[1]*(a[3]*a[8] - a[5]*a[6])
	      + a[2]*(a[3]*a[7] - a[4]*a[6]);

	ok = CppAD::<a href="nearequal.xml" target="_top">NearEqual</a>(det, check, 1e-10, 1e-10);

	return ok;
}

</pre>

</font></code>


<hr/>Input File: speed/example/det_by_lu.cpp

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