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<title>Eigen::RealSchur&lt; _MatrixType &gt; Class Template Reference</title>
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<div class="title">Eigen::RealSchur&lt; _MatrixType &gt; Class Template Reference<div class="ingroups"><a class="el" href="group___eigenvalues___module.html">Eigenvalues module</a></div></div>  </div>
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<!-- doxytag: class="Eigen::RealSchur" --><hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename _MatrixType&gt;<br/>
class Eigen::RealSchur&lt; _MatrixType &gt;</h3>

<p>Performs a real Schur decomposition of a square matrix</p>
<dl><dt><b>Template Parameters:</b></dt><dd>
  <table class="">
    <tr><td class="paramname">_MatrixType</td><td>the type of the matrix of which we are computing the real Schur decomposition; this is expected to be an instantiation of the <a class="el" href="class_eigen_1_1_matrix.html" title="The matrix class, also used for vectors and row-vectors.">Matrix</a> class template.</td></tr>
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  </dd>
</dl>
<p>Given a real square matrix A, this class computes the real Schur decomposition: <img class="formulaInl" alt="$ A = U T U^T $" src="form_166.png"/> where U is a real orthogonal matrix and T is a real quasi-triangular matrix. An orthogonal matrix is a matrix whose inverse is equal to its transpose, <img class="formulaInl" alt="$ U^{-1} = U^T $" src="form_167.png"/>. A quasi-triangular matrix is a block-triangular matrix whose diagonal consists of 1-by-1 blocks and 2-by-2 blocks with complex eigenvalues. The eigenvalues of the blocks on the diagonal of T are the same as the eigenvalues of the matrix A, and thus the real Schur decomposition is used in <a class="el" href="class_eigen_1_1_eigen_solver.html">EigenSolver</a> to compute the eigendecomposition of a matrix.</p>
<p>Call the function <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a> to compute the real Schur decomposition of a given matrix. Alternatively, you can use the <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> constructor which computes the real Schur decomposition at construction time. Once the decomposition is computed, you can use the <a class="el" href="class_eigen_1_1_real_schur.html#a5bfae7451551ee047fc505400b1786ba" title="Returns the orthogonal matrix in the Schur decomposition.">matrixU()</a> and <a class="el" href="class_eigen_1_1_real_schur.html#ac7c5d04d10a2031e46fcbddc246fb19a" title="Returns the quasi-triangular matrix in the Schur decomposition.">matrixT()</a> functions to retrieve the matrices U and T in the decomposition.</p>
<p>The documentation of <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> contains an example of the typical use of this class.</p>
<dl class="note"><dt><b>Note:</b></dt><dd>The implementation is adapted from <a href="http://math.nist.gov/javanumerics/jama/">JAMA</a> (public domain). Their code is based on EISPACK.</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd>class <a class="el" href="class_eigen_1_1_complex_schur.html">ComplexSchur</a>, class <a class="el" href="class_eigen_1_1_eigen_solver.html">EigenSolver</a>, class <a class="el" href="class_eigen_1_1_complex_eigen_solver.html">ComplexEigenSolver</a> </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00068">68</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>
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Inheritance diagram for Eigen::RealSchur&lt; _MatrixType &gt;:</div>
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<div class="center"><img src="class_eigen_1_1_real_schur__inherit__graph.png" border="0" usemap="#_eigen_1_1_real_schur_3_01___matrix_type_01_4_inherit__map" alt="Inheritance graph"/></div>
<map name="_eigen_1_1_real_schur_3_01___matrix_type_01_4_inherit__map" id="_eigen_1_1_real_schur_3_01___matrix_type_01_4_inherit__map">
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<p><a href="class_eigen_1_1_real_schur-members.html">List of all members.</a></p>
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<tr><td colspan="2"><h2><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <br/>
&#160;&#160;<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601">RowsAtCompileTime</a> =  MatrixType::RowsAtCompileTime, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb">ColsAtCompileTime</a> =  MatrixType::ColsAtCompileTime, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a">Options</a> =  MatrixType::Options, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a">MaxRowsAtCompileTime</a> =  MatrixType::MaxRowsAtCompileTime, 
<br/>
&#160;&#160;<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1">MaxColsAtCompileTime</a> =  MatrixType::MaxColsAtCompileTime
<br/>
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<tr><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <br/>
&#160;&#160;<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601">RowsAtCompileTime</a> =  MatrixType::RowsAtCompileTime, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb">ColsAtCompileTime</a> =  MatrixType::ColsAtCompileTime, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a">Options</a> =  MatrixType::Options, 
<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a">MaxRowsAtCompileTime</a> =  MatrixType::MaxRowsAtCompileTime, 
<br/>
&#160;&#160;<a class="el" href="class_eigen_1_1_real_schur.html#a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1">MaxColsAtCompileTime</a> =  MatrixType::MaxColsAtCompileTime
<br/>
 }</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef _MatrixType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef MatrixType::Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstd_1_1complex.html">std::complex</a>&lt; typename <br class="typebreak"/>
<a class="el" href="struct_eigen_1_1_num_traits.html">NumTraits</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> &gt;::Real &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef MatrixType::Index&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a>, <br class="typebreak"/>
ColsAtCompileTime, 1, Options <br class="typebreak"/>
&amp;~RowMajor, <br class="typebreak"/>
MaxColsAtCompileTime, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aba61940000501482e45b704ca403fa22">EigenvalueType</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, <br class="typebreak"/>
ColsAtCompileTime, 1, Options <br class="typebreak"/>
&amp;~RowMajor, <br class="typebreak"/>
MaxColsAtCompileTime, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef _MatrixType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef MatrixType::Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstd_1_1complex.html">std::complex</a>&lt; typename <br class="typebreak"/>
<a class="el" href="struct_eigen_1_1_num_traits.html">NumTraits</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> &gt;::Real &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef MatrixType::Index&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a>, <br class="typebreak"/>
ColsAtCompileTime, 1, Options <br class="typebreak"/>
&amp;~RowMajor, <br class="typebreak"/>
MaxColsAtCompileTime, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aba61940000501482e45b704ca403fa22">EigenvalueType</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, <br class="typebreak"/>
ColsAtCompileTime, 1, Options <br class="typebreak"/>
&amp;~RowMajor, <br class="typebreak"/>
MaxColsAtCompileTime, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a></td></tr>
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#abdd16b0ee27ee83da36d415d1aa83f92">RealSchur</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> size=RowsAtCompileTime==<a class="el" href="namespace_eigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>?1:RowsAtCompileTime)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor.  <a href="#abdd16b0ee27ee83da36d415d1aa83f92"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678">RealSchur</a> (const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;matrix, bool computeU=true)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor; computes real Schur decomposition of given matrix.  <a href="#a4e10ee7b5049428ebac1fd860db58678"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a5bfae7451551ee047fc505400b1786ba">matrixU</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the orthogonal matrix in the Schur decomposition.  <a href="#a5bfae7451551ee047fc505400b1786ba"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ac7c5d04d10a2031e46fcbddc246fb19a">matrixT</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the quasi-triangular matrix in the Schur decomposition.  <a href="#ac7c5d04d10a2031e46fcbddc246fb19a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816">compute</a> (const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;matrix, bool computeU=true)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes Schur decomposition of given matrix.  <a href="#aab1348c5fe37af9b1fb3c56367406816"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespace_eigen.html#a85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a00c8b75f051cf42503f104b5db2a530b">info</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Reports whether previous computation was successful.  <a href="#a00c8b75f051cf42503f104b5db2a530b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#abdd16b0ee27ee83da36d415d1aa83f92">RealSchur</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> size=RowsAtCompileTime==<a class="el" href="namespace_eigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>?1:RowsAtCompileTime)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor.  <a href="#abdd16b0ee27ee83da36d415d1aa83f92"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678">RealSchur</a> (const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;matrix, bool computeU=true)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor; computes real Schur decomposition of given matrix.  <a href="#a4e10ee7b5049428ebac1fd860db58678"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a5bfae7451551ee047fc505400b1786ba">matrixU</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the orthogonal matrix in the Schur decomposition.  <a href="#a5bfae7451551ee047fc505400b1786ba"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ac7c5d04d10a2031e46fcbddc246fb19a">matrixT</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the quasi-triangular matrix in the Schur decomposition.  <a href="#ac7c5d04d10a2031e46fcbddc246fb19a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a656b2ecbf6533171755e51349209faad">compute</a> (const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;matrix, bool computeU=true)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes Schur decomposition of given matrix.  <a href="#a656b2ecbf6533171755e51349209faad"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespace_eigen.html#a85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a00c8b75f051cf42503f104b5db2a530b">info</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Reports whether previous computation was successful.  <a href="#a00c8b75f051cf42503f104b5db2a530b"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pub-static-attribs"></a>
Static Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static const int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a2802d919d3eddf4520455b2d598d34aa">m_maxIterations</a> = 40</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum number of iterations.  <a href="#a2802d919d3eddf4520455b2d598d34aa"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pri-types"></a>
Private Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, 3, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, 3, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a></td></tr>
<tr><td colspan="2"><h2><a name="pri-methods"></a>
Private Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aa202b6c2e353375391089d12b4dbf257">computeNormOfT</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a04afe20917067f70019efd452ad4714a">findSmallSubdiagEntry</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> norm)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aec188b642da0faa7c14914b3823a08b6">splitOffTwoRows</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, bool computeU, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> exshift)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a4ed06049f6cd752d1bd50efbe6a90428">computeShift</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iter, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> &amp;exshift, <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;shiftInfo)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a49ab0695e949716eb1f12250672dc80f">initFrancisQRStep</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> il, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;shiftInfo, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> &amp;im, <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;firstHouseholderVector)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ae10b503ea3a37598f98592fd893f55ba">performFrancisQRStep</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> il, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> im, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, bool computeU, const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;firstHouseholderVector, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> *workspace)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#af1ab2bf6cba0e413bea8118502cf5013">computeNormOfT</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#add3174b0a99768aa0a4d68b2903b3db5">findSmallSubdiagEntry</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> norm)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aae58a813412c72caffd6fb585aebbb79">splitOffTwoRows</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, bool computeU, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> exshift)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ac0f5e9a802356a4403843bddfedb7b0f">computeShift</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iter, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> &amp;exshift, <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;shiftInfo)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#abf31f7a6a66d91566a66d8eb988b00e6">initFrancisQRStep</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> il, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;shiftInfo, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> &amp;im, <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;firstHouseholderVector)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#aa81f71fb7274b2670774534584571156">performFrancisQRStep</a> (<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> il, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> im, <a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a> iu, bool computeU, const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;firstHouseholderVector, <a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> *workspace)</td></tr>
<tr><td colspan="2"><h2><a name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a47f4b5c291d9e0062f7f6672fa2994f3">m_matT</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a5226b93bdc4d7105a31322d62f01ba15">m_matU</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a46409550452229728ea4be83279981bb">m_workspaceVector</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_hessenberg_decomposition.html">HessenbergDecomposition</a><br class="typebreak"/>
&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a01fdd7ecbc52b6da66acc5fb94c87a24">m_hess</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespace_eigen.html#a85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#add9fd09f28930a5190b75ec145dc59f4">m_info</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#a7bd013fe6c3e2cb220e44a1a01fbc8c7">m_isInitialized</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_real_schur.html#ad29773b599498a4c6728243377626056">m_matUisUptodate</a></td></tr>
</table>
<hr/><h2>Member Typedef Documentation</h2>
<a class="anchor" id="ad7d4f7f6f061e66838a4a1c7666efa52"></a><!-- doxytag: member="Eigen::RealSchur::ColumnVectorType" ref="ad7d4f7f6f061e66838a4a1c7666efa52" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, ColsAtCompileTime, 1, Options &amp; ~RowMajor, MaxColsAtCompileTime, 1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a></td>
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      </table>
</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00084">84</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="ad7d4f7f6f061e66838a4a1c7666efa52"></a><!-- doxytag: member="Eigen::RealSchur::ColumnVectorType" ref="ad7d4f7f6f061e66838a4a1c7666efa52" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>, ColsAtCompileTime, 1, Options &amp; ~RowMajor, MaxColsAtCompileTime, 1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a></td>
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</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00084">84</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a269c5cf978680481656ad5e86d45894a"></a><!-- doxytag: member="Eigen::RealSchur::ComplexScalar" ref="a269c5cf978680481656ad5e86d45894a" args="" -->
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template&lt;typename _MatrixType&gt; </div>
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          <td class="memname">typedef <a class="el" href="classstd_1_1complex.html">std::complex</a>&lt;typename <a class="el" href="struct_eigen_1_1_num_traits.html">NumTraits</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&gt;::Real&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a></td>
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      </table>
</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00080">80</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a269c5cf978680481656ad5e86d45894a"></a><!-- doxytag: member="Eigen::RealSchur::ComplexScalar" ref="a269c5cf978680481656ad5e86d45894a" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef <a class="el" href="classstd_1_1complex.html">std::complex</a>&lt;typename <a class="el" href="struct_eigen_1_1_num_traits.html">NumTraits</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&gt;::Real&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a></td>
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      </table>
</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00080">80</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="aba61940000501482e45b704ca403fa22"></a><!-- doxytag: member="Eigen::RealSchur::EigenvalueType" ref="aba61940000501482e45b704ca403fa22" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a>, ColsAtCompileTime, 1, Options &amp; ~RowMajor, MaxColsAtCompileTime, 1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#aba61940000501482e45b704ca403fa22">EigenvalueType</a></td>
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</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00083">83</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="aba61940000501482e45b704ca403fa22"></a><!-- doxytag: member="Eigen::RealSchur::EigenvalueType" ref="aba61940000501482e45b704ca403fa22" args="" -->
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<div class="memproto">
<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a269c5cf978680481656ad5e86d45894a">ComplexScalar</a>, ColsAtCompileTime, 1, Options &amp; ~RowMajor, MaxColsAtCompileTime, 1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#aba61940000501482e45b704ca403fa22">EigenvalueType</a></td>
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</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00083">83</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="ae86eed8b2afdd3713b5127ac76cd9925"></a><!-- doxytag: member="Eigen::RealSchur::Index" ref="ae86eed8b2afdd3713b5127ac76cd9925" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
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          <td class="memname">typedef MatrixType::Index <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00081">81</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

</div>
</div>
<a class="anchor" id="ae86eed8b2afdd3713b5127ac76cd9925"></a><!-- doxytag: member="Eigen::RealSchur::Index" ref="ae86eed8b2afdd3713b5127ac76cd9925" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef MatrixType::Index <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00081">81</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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</div>
<a class="anchor" id="a2c400724529c2d19e886e865244f6ea7"></a><!-- doxytag: member="Eigen::RealSchur::MatrixType" ref="a2c400724529c2d19e886e865244f6ea7" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef _MatrixType <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a></td>
        </tr>
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<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00071">71</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a2c400724529c2d19e886e865244f6ea7"></a><!-- doxytag: member="Eigen::RealSchur::MatrixType" ref="a2c400724529c2d19e886e865244f6ea7" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef _MatrixType <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a></td>
        </tr>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00071">71</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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</div>
<a class="anchor" id="a9f63de2b06466efed32c6e721bde71c9"></a><!-- doxytag: member="Eigen::RealSchur::Scalar" ref="a9f63de2b06466efed32c6e721bde71c9" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef MatrixType::Scalar <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00079">79</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a9f63de2b06466efed32c6e721bde71c9"></a><!-- doxytag: member="Eigen::RealSchur::Scalar" ref="a9f63de2b06466efed32c6e721bde71c9" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef MatrixType::Scalar <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a></td>
        </tr>
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<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00079">79</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="addcedffc29404e2140145701f0c7c960"></a><!-- doxytag: member="Eigen::RealSchur::Vector3s" ref="addcedffc29404e2140145701f0c7c960" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>,3,1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a><code> [private]</code></td>
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<div class="memdoc">

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00206">206</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="addcedffc29404e2140145701f0c7c960"></a><!-- doxytag: member="Eigen::RealSchur::Vector3s" ref="addcedffc29404e2140145701f0c7c960" args="" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">typedef <a class="el" href="class_eigen_1_1_matrix.html">Matrix</a>&lt;<a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>,3,1&gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00206">206</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<hr/><h2>Member Enumeration Documentation</h2>
<a class="anchor" id="ab8e370703b4471ced4ccb63b2fc938df"></a><!-- doxytag: member="Eigen::RealSchur::@335" ref="ab8e370703b4471ced4ccb63b2fc938df" args="" -->
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template&lt;typename _MatrixType&gt; </div>
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          <td class="memname">anonymous enum</td>
        </tr>
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<div class="memdoc">
<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601"></a><!-- doxytag: member="RowsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601" args="" -->RowsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb"></a><!-- doxytag: member="ColsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb" args="" -->ColsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a"></a><!-- doxytag: member="Options" ref="a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a" args="" -->Options</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a"></a><!-- doxytag: member="MaxRowsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a" args="" -->MaxRowsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1"></a><!-- doxytag: member="MaxColsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1" args="" -->MaxColsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
</table>
</dd>
</dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00072">72</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2"></a><!-- doxytag: member="Eigen::RealSchur::@337" ref="a1199f68fcc40b0113017009f4b7f98f2" args="" -->
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<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">anonymous enum</td>
        </tr>
      </table>
</div>
<div class="memdoc">
<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601"></a><!-- doxytag: member="RowsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a625f750d326289cfc5b226e8136ce601" args="" -->RowsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb"></a><!-- doxytag: member="ColsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a6bb3a8dde3577f524f8dd92cc8c058eb" args="" -->ColsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a"></a><!-- doxytag: member="Options" ref="a1199f68fcc40b0113017009f4b7f98f2ac9db5d026e06630aa9939bafe435c75a" args="" -->Options</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a"></a><!-- doxytag: member="MaxRowsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a4a9e7ff137cca3a5be90e5f72864a16a" args="" -->MaxRowsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1"></a><!-- doxytag: member="MaxColsAtCompileTime" ref="a1199f68fcc40b0113017009f4b7f98f2a8cd87f4764496117de7270215cdf72e1" args="" -->MaxColsAtCompileTime</em>&nbsp;</td><td>
</td></tr>
</table>
</dd>
</dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00072">72</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="abdd16b0ee27ee83da36d415d1aa83f92"></a><!-- doxytag: member="Eigen::RealSchur::RealSchur" ref="abdd16b0ee27ee83da36d415d1aa83f92" args="(Index size=RowsAtCompileTime==Dynamic?1:RowsAtCompileTime)" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
          <td class="paramname"><em>size</em> = <code>RowsAtCompileTime==<a class="el" href="namespace_eigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>&#160;?&#160;1&#160;:&#160;RowsAtCompileTime</code></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Default constructor. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>Positive integer, size of the matrix whose Schur decomposition will be computed.</td></tr>
  </table>
  </dd>
</dl>
<p>The default constructor is useful in cases in which the user intends to perform decompositions via <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a>. The <code>size</code> parameter is only used as a hint. It is not an error to give a wrong <code>size</code>, but it may impair performance.</p>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a> for an example. </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00097">97</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

</div>
</div>
<a class="anchor" id="a4e10ee7b5049428ebac1fd860db58678"></a><!-- doxytag: member="Eigen::RealSchur::RealSchur" ref="a4e10ee7b5049428ebac1fd860db58678" args="(const MatrixType &amp;matrix, bool computeU=true)" -->
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template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td>
          <td class="paramname"><em>matrix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&#160;</td>
          <td class="paramname"><em>computeU</em> = <code>true</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
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<p>Constructor; computes real Schur decomposition of given matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">matrix</td><td>Square matrix whose Schur decomposition is to be computed. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">computeU</td><td>If true, both T and U are computed; if false, only T is computed.</td></tr>
  </table>
  </dd>
</dl>
<p>This constructor calls <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a> to compute the Schur decomposition.</p>
<p>Example: </p>
<div class="fragment"><pre class="fragment"></pre></div><p> Output: </p>
<div class="fragment"><pre class="fragment"></pre></div> 
<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00116">116</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

</div>
</div>
<a class="anchor" id="abdd16b0ee27ee83da36d415d1aa83f92"></a><!-- doxytag: member="Eigen::RealSchur::RealSchur" ref="abdd16b0ee27ee83da36d415d1aa83f92" args="(Index size=RowsAtCompileTime==Dynamic?1:RowsAtCompileTime)" -->
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<div class="memproto">
<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
          <td class="paramname"><em>size</em> = <code>RowsAtCompileTime==<a class="el" href="namespace_eigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>&#160;?&#160;1&#160;:&#160;RowsAtCompileTime</code></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Default constructor. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>Positive integer, size of the matrix whose Schur decomposition will be computed.</td></tr>
  </table>
  </dd>
</dl>
<p>The default constructor is useful in cases in which the user intends to perform decompositions via <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a>. The <code>size</code> parameter is only used as a hint. It is not an error to give a wrong <code>size</code>, but it may impair performance.</p>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a> for an example. </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00097">97</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

</div>
</div>
<a class="anchor" id="a4e10ee7b5049428ebac1fd860db58678"></a><!-- doxytag: member="Eigen::RealSchur::RealSchur" ref="a4e10ee7b5049428ebac1fd860db58678" args="(const MatrixType &amp;matrix, bool computeU=true)" -->
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<div class="memproto">
<div class="memtemplate">
template&lt;typename _MatrixType&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a> </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td>
          <td class="paramname"><em>matrix</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&#160;</td>
          <td class="paramname"><em>computeU</em> = <code>true</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Constructor; computes real Schur decomposition of given matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">matrix</td><td>Square matrix whose Schur decomposition is to be computed. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">computeU</td><td>If true, both T and U are computed; if false, only T is computed.</td></tr>
  </table>
  </dd>
</dl>
<p>This constructor calls <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute()</a> to compute the Schur decomposition.</p>
<p>Example: </p>
<div class="fragment"><pre class="fragment"></pre></div><p> Output: </p>
<div class="fragment"><pre class="fragment"></pre></div> 
<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00116">116</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

</div>
</div>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="aab1348c5fe37af9b1fb3c56367406816"></a><!-- doxytag: member="Eigen::RealSchur::compute" ref="aab1348c5fe37af9b1fb3c56367406816" args="(const MatrixType &amp;matrix, bool computeU=true)" -->
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<div class="memtemplate">
template&lt;typename MatrixType &gt; </div>
      <table class="memname">
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          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html">RealSchur</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &gt; &amp; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &gt;::compute </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &amp;&#160;</td>
          <td class="paramname"><em>matrix</em>, </td>
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<p>Computes Schur decomposition of given matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">matrix</td><td>Square matrix whose Schur decomposition is to be computed. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">computeU</td><td>If true, both T and U are computed; if false, only T is computed. </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>Reference to <code>*this</code> </dd></dl>
<p>The Schur decomposition is computed by first reducing the matrix to Hessenberg form using the class <a class="el" href="class_eigen_1_1_hessenberg_decomposition.html">HessenbergDecomposition</a>. The Hessenberg matrix is then reduced to triangular form by performing Francis QR iterations with implicit double shift. The cost of computing the Schur decomposition depends on the number of iterations; as a rough guide, it may be taken to be <img class="formulaInl" alt="$25n^3$" src="form_193.png"/> flops if <em>computeU</em> is true and <img class="formulaInl" alt="$10n^3$" src="form_194.png"/> flops if <em>computeU</em> is false.</p>
<p>Example: </p>
<div class="fragment"><pre class="fragment"></pre></div><p> Output: </p>
<div class="fragment"><pre class="fragment"></pre></div> 
<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00218">218</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Computes Schur decomposition of given matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">matrix</td><td>Square matrix whose Schur decomposition is to be computed. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">computeU</td><td>If true, both T and U are computed; if false, only T is computed. </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>Reference to <code>*this</code> </dd></dl>
<p>The Schur decomposition is computed by first reducing the matrix to Hessenberg form using the class <a class="el" href="class_eigen_1_1_hessenberg_decomposition.html">HessenbergDecomposition</a>. The Hessenberg matrix is then reduced to triangular form by performing Francis QR iterations with implicit double shift. The cost of computing the Schur decomposition depends on the number of iterations; as a rough guide, it may be taken to be <img class="formulaInl" alt="$25n^3$" src="form_193.png"/> flops if <em>computeU</em> is true and <img class="formulaInl" alt="$10n^3$" src="form_194.png"/> flops if <em>computeU</em> is false.</p>
<p>Example: </p>
<div class="fragment"><pre class="fragment"></pre></div><p> Output: </p>
<div class="fragment"><pre class="fragment"></pre></div> 
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<a class="anchor" id="aa202b6c2e353375391089d12b4dbf257"></a><!-- doxytag: member="Eigen::RealSchur::computeNormOfT" ref="aa202b6c2e353375391089d12b4dbf257" args="()" -->
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00285">285</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> &amp;&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;&#160;</td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00349">349</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&#160;</td>
          <td class="paramname"><em>norm</em>&#160;</td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00299">299</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Reports whether previous computation was successful. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd><code>Success</code> if computation was succesful, <code>NoConvergence</code> otherwise. </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00184">184</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Reports whether previous computation was successful. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd><code>Success</code> if computation was succesful, <code>NoConvergence</code> otherwise. </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00184">184</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;&#160;</td>
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          <td>(</td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
          <td class="paramname"><em>il</em>, </td>
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          <td></td>
          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramname"><em>firstHouseholderVector</em>&#160;</td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00389">389</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Returns the quasi-triangular matrix in the Schur decomposition. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>A const reference to the matrix T.</dd></dl>
<dl class="pre"><dt><b>Precondition:</b></dt><dd>Either the constructor <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> or the member function <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute(const MatrixType&amp;, bool)</a> has been called before to compute the Schur decomposition of a matrix.</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> for an example </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00155">155</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="ac7c5d04d10a2031e46fcbddc246fb19a"></a><!-- doxytag: member="Eigen::RealSchur::matrixT" ref="ac7c5d04d10a2031e46fcbddc246fb19a" args="() const " -->
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<p>Returns the quasi-triangular matrix in the Schur decomposition. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>A const reference to the matrix T.</dd></dl>
<dl class="pre"><dt><b>Precondition:</b></dt><dd>Either the constructor <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> or the member function <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute(const MatrixType&amp;, bool)</a> has been called before to compute the Schur decomposition of a matrix.</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> for an example </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00155">155</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a5bfae7451551ee047fc505400b1786ba"></a><!-- doxytag: member="Eigen::RealSchur::matrixU" ref="a5bfae7451551ee047fc505400b1786ba" args="() const " -->
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<p>Returns the orthogonal matrix in the Schur decomposition. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>A const reference to the matrix U.</dd></dl>
<dl class="pre"><dt><b>Precondition:</b></dt><dd>Either the constructor <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> or the member function <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute(const MatrixType&amp;, bool)</a> has been called before to compute the Schur decomposition of a matrix, and <code>computeU</code> was set to true (the default value).</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> for an example </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00138">138</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Returns the orthogonal matrix in the Schur decomposition. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>A const reference to the matrix U.</dd></dl>
<dl class="pre"><dt><b>Precondition:</b></dt><dd>Either the constructor <a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> or the member function <a class="el" href="class_eigen_1_1_real_schur.html#aab1348c5fe37af9b1fb3c56367406816" title="Computes Schur decomposition of given matrix.">compute(const MatrixType&amp;, bool)</a> has been called before to compute the Schur decomposition of a matrix, and <code>computeU</code> was set to true (the default value).</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="class_eigen_1_1_real_schur.html#a4e10ee7b5049428ebac1fd860db58678" title="Constructor; computes real Schur decomposition of given matrix.">RealSchur(const MatrixType&amp;, bool)</a> for an example </dd></dl>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00138">138</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramtype">const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> *&#160;</td>
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          <td>(</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#ae86eed8b2afdd3713b5127ac76cd9925">Index</a>&#160;</td>
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          <td class="paramtype">const <a class="el" href="class_eigen_1_1_real_schur.html#addcedffc29404e2140145701f0c7c960">Vector3s</a> &amp;&#160;</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a> *&#160;</td>
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          <td>)</td>
          <td></td><td><code> [inline, private]</code></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00415">415</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="aae58a813412c72caffd6fb585aebbb79"></a><!-- doxytag: member="Eigen::RealSchur::splitOffTwoRows" ref="aae58a813412c72caffd6fb585aebbb79" args="(Index iu, bool computeU, Scalar exshift)" -->
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<a class="anchor" id="aec188b642da0faa7c14914b3823a08b6"></a><!-- doxytag: member="Eigen::RealSchur::splitOffTwoRows" ref="aec188b642da0faa7c14914b3823a08b6" args="(Index iu, bool computeU, Scalar exshift)" -->
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          <td>(</td>
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          <td class="paramtype"><a class="el" href="class_eigen_1_1_real_schur.html#a9f63de2b06466efed32c6e721bde71c9">Scalar</a>&#160;</td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00316">316</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a01fdd7ecbc52b6da66acc5fb94c87a24"></a><!-- doxytag: member="Eigen::RealSchur::m_hess" ref="a01fdd7ecbc52b6da66acc5fb94c87a24" args="" -->
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          <td class="memname"><a class="el" href="class_eigen_1_1_hessenberg_decomposition.html">HessenbergDecomposition</a>&lt; <a class="el" href="class_eigen_1_1_real_schur.html#a2c400724529c2d19e886e865244f6ea7">MatrixType</a> &gt; <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a01fdd7ecbc52b6da66acc5fb94c87a24">m_hess</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00201">201</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00202">202</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00203">203</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00198">198</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00199">199</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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          <td class="memname">bool <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#ad29773b599498a4c6728243377626056">m_matUisUptodate</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00204">204</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a2802d919d3eddf4520455b2d598d34aa"></a><!-- doxytag: member="Eigen::RealSchur::m_maxIterations" ref="a2802d919d3eddf4520455b2d598d34aa" args="" -->
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template&lt;typename _MatrixType&gt; </div>
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          <td class="memname">static const int <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a2802d919d3eddf4520455b2d598d34aa">m_maxIterations</a> = 40<code> [static]</code></td>
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<p>Maximum number of iterations. </p>
<p>Maximum number of iterations allowed for an eigenvalue to converge. </p>

<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00194">194</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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<a class="anchor" id="a46409550452229728ea4be83279981bb"></a><!-- doxytag: member="Eigen::RealSchur::m_workspaceVector" ref="a46409550452229728ea4be83279981bb" args="" -->
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          <td class="memname"><a class="el" href="class_eigen_1_1_real_schur.html#ad7d4f7f6f061e66838a4a1c7666efa52">ColumnVectorType</a> <a class="el" href="class_eigen_1_1_real_schur.html">Eigen::RealSchur</a>&lt; _MatrixType &gt;::<a class="el" href="class_eigen_1_1_real_schur.html#a46409550452229728ea4be83279981bb">m_workspaceVector</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="_eigenvalues_source.html#l00200">200</a> of file <a class="el" href="_eigenvalues_source.html">Eigenvalues</a>.</p>

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