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<title>QuantLib: TqrEigenDecomposition Class Reference</title>
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<a class="el" href="namespace_quant_lib.html">QuantLib</a>::<a class="el" href="class_quant_lib_1_1_tqr_eigen_decomposition.html">TqrEigenDecomposition</a></div>
<h1>TqrEigenDecomposition Class Reference</h1><!-- doxytag: class="QuantLib::TqrEigenDecomposition" --><code>#include &lt;ql/math/matrixutilities/tqreigendecomposition.hpp&gt;</code>
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<a href="class_quant_lib_1_1_tqr_eigen_decomposition-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
tridiag. QR eigen decomposition with explicite shift aka Wilkinson 
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References:<p>
Wilkinson, J.H. and Reinsch, C. 1971, <a class="el" href="class_quant_lib_1_1_linear.html" title="Linear-interpolation factory and traits">Linear</a> Algebra, vol. II of Handbook for Automatic Computation (New York: Springer-Verlag)<p>
"Numerical Recipes in C", 2nd edition, Press, Teukolsky, Vetterling, Flannery,<p>
<dl compact><dt><b><a class="el" href="test.html#_test000042">Tests:</a></b></dt><dd>the correctness of the result is tested by checking it against known good values. </dd></dl>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Types</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">enum &nbsp;</td><td class="memItemRight" valign="bottom"><b>EigenVectorCalculation</b> { <b>WithEigenVector</b>, 
<b>WithoutEigenVector</b>, 
<b>OnlyFirstRowEigenVector</b>
 }</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">enum &nbsp;</td><td class="memItemRight" valign="bottom"><b>ShiftStrategy</b> { <b>NoShift</b>, 
<b>Overrelaxation</b>, 
<b>CloseEigenValue</b>
 }</td></tr>

<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6794a0e945332a99dc6f7a831bdffdf9"></a><!-- doxytag: member="QuantLib::TqrEigenDecomposition::TqrEigenDecomposition" ref="6794a0e945332a99dc6f7a831bdffdf9" args="(const Array &amp;diag, const Array &amp;sub, EigenVectorCalculation calc=WithEigenVector, ShiftStrategy strategy=CloseEigenValue)" -->
&nbsp;</td><td class="memItemRight" valign="bottom"><b>TqrEigenDecomposition</b> (const <a class="el" href="class_quant_lib_1_1_array.html">Array</a> &amp;diag, const <a class="el" href="class_quant_lib_1_1_array.html">Array</a> &amp;sub, EigenVectorCalculation calc=WithEigenVector, ShiftStrategy strategy=CloseEigenValue)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eb9833fe31a4739b5075f2a4cbd5dddd"></a><!-- doxytag: member="QuantLib::TqrEigenDecomposition::eigenvalues" ref="eb9833fe31a4739b5075f2a4cbd5dddd" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_array.html">Array</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>eigenvalues</b> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="41aa0134fde9e36a14c3a0938903e4b1"></a><!-- doxytag: member="QuantLib::TqrEigenDecomposition::eigenvectors" ref="41aa0134fde9e36a14c3a0938903e4b1" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_matrix.html">Matrix</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>eigenvectors</b> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="62e40545c017ca57d94675198005e7ec"></a><!-- doxytag: member="QuantLib::TqrEigenDecomposition::iterations" ref="62e40545c017ca57d94675198005e7ec" args="() const " -->
<a class="el" href="group__types.html#gf38bdb4c54463b1f456655efa95b5c77">Size</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>iterations</b> () const </td></tr>

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