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<div class="title">SelfAdjointView< MatrixType, UpLo > Class Template Reference<div class="ingroups"><a class="el" href="group__Core__Module.html">Core module</a></div></div> </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<typename MatrixType, unsigned int UpLo><br/>
class Eigen::SelfAdjointView< MatrixType, UpLo ></h3>
<p>Expression of a selfadjoint matrix from a triangular part of a dense matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">MatrixType</td><td>the type of the dense matrix storing the coefficients </td></tr>
<tr><td class="paramname">TriangularPart</td><td>can be either <code><a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a></code> or <code><a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a></code> </td></tr>
</table>
</dd>
</dl>
<p>This class is an expression of a sefladjoint matrix from a triangular part of a matrix with given dense storage of the coefficients. It is the return type of MatrixBase::selfadjointView() and most of the time this is the only way that it is used.</p>
<dl class="section see"><dt>See Also</dt><dd>class TriangularBase, MatrixBase::selfadjointView() </dd></dl>
</div>
<p>Inherits TriangularBase< Derived >.</p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:af7cc63140d17b562998188356f30da6f"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classEigen_1_1Matrix.html">Matrix</a>< <a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a>, <br class="typebreak"/>
internal::traits< MatrixType ><br class="typebreak"/>
::ColsAtCompileTime, 1 > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#af7cc63140d17b562998188356f30da6f">EigenvaluesReturnType</a></td></tr>
<tr class="separator:af7cc63140d17b562998188356f30da6f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:acb5c3dc237f99cf17167e8a629f01b43"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>< <a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> >::Real </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a></td></tr>
<tr class="separator:acb5c3dc237f99cf17167e8a629f01b43"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9ef555098df604af49b0a00d389d823b"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9ef555098df604af49b0a00d389d823b"></a>
typedef internal::traits<br class="typebreak"/>
< <a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a> >::<a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a></td></tr>
<tr class="memdesc:a9ef555098df604af49b0a00d389d823b"><td class="mdescLeft"> </td><td class="mdescRight">The type of coefficients in this matrix. <br/></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:afacbe8d905dd8b00eb52e72c2e938aed"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#afacbe8d905dd8b00eb52e72c2e938aed">coeff</a> (Index row, Index col) const </td></tr>
<tr class="separator:afacbe8d905dd8b00eb52e72c2e938aed"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4386da578a119f7b500d0b22cab2de0e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a4386da578a119f7b500d0b22cab2de0e">coeffRef</a> (Index row, Index col)</td></tr>
<tr class="separator:a4386da578a119f7b500d0b22cab2de0e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af7177136c93ee65b7c41c1798e23292d"><td class="memTemplParams" colspan="2">template<typename Other > </td></tr>
<tr class="memitem:af7177136c93ee65b7c41c1798e23292d"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>copyCoeff</b> (Index row, Index col, Other &other)</td></tr>
<tr class="separator:af7177136c93ee65b7c41c1798e23292d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa84222add803ad7c9db07dd4dd91d5d9"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a> ()</td></tr>
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<tr class="memitem:a2850de52161dfe2bb6e380f1892276b8"><td class="memItemLeft" align="right" valign="top">const Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a2850de52161dfe2bb6e380f1892276b8">derived</a> () const </td></tr>
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<tr class="memitem:a847d0db612cd20e1b796c6a70d0f0d54"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html#af7cc63140d17b562998188356f30da6f">EigenvaluesReturnType</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a847d0db612cd20e1b796c6a70d0f0d54">eigenvalues</a> () const </td></tr>
<tr class="memdesc:a847d0db612cd20e1b796c6a70d0f0d54"><td class="mdescLeft"> </td><td class="mdescRight">Computes the eigenvalues of a matrix. <a href="#a847d0db612cd20e1b796c6a70d0f0d54">More...</a><br/></td></tr>
<tr class="separator:a847d0db612cd20e1b796c6a70d0f0d54"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a66ac5c9b6c04321ab12364bba06fee66"><td class="memTemplParams" colspan="2">template<typename DenseDerived > </td></tr>
<tr class="memitem:a66ac5c9b6c04321ab12364bba06fee66"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>evalTo</b> (<a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< DenseDerived > &other) const </td></tr>
<tr class="separator:a66ac5c9b6c04321ab12364bba06fee66"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:affcc5fe7ffb333e0b99a5532d086cd2f"><td class="memTemplParams" colspan="2">template<typename DenseDerived > </td></tr>
<tr class="memitem:affcc5fe7ffb333e0b99a5532d086cd2f"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>evalToLazy</b> (<a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< DenseDerived > &other) const </td></tr>
<tr class="separator:affcc5fe7ffb333e0b99a5532d086cd2f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a245df21a519cd34f5eb6f724cf5bf8e7"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1LDLT.html">LDLT</a>< PlainObject, UpLo > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a245df21a519cd34f5eb6f724cf5bf8e7">ldlt</a> () const </td></tr>
<tr class="separator:a245df21a519cd34f5eb6f724cf5bf8e7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab6d4081f604fb2bc15ad285cf6bf54a2"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1LLT.html">LLT</a>< PlainObject, UpLo > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#ab6d4081f604fb2bc15ad285cf6bf54a2">llt</a> () const </td></tr>
<tr class="separator:ab6d4081f604fb2bc15ad285cf6bf54a2"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8b615fb312e03e69a42aa86f50c448f1"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a8b615fb312e03e69a42aa86f50c448f1"><td class="memTemplItemLeft" align="right" valign="top">SelfadjointProductMatrix<br class="typebreak"/>
< MatrixType, Mode, false, <br class="typebreak"/>
OtherDerived, <br class="typebreak"/>
0, OtherDerived::IsVectorAtCompileTime > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a8b615fb312e03e69a42aa86f50c448f1">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &rhs) const </td></tr>
<tr class="separator:a8b615fb312e03e69a42aa86f50c448f1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a67279bc5b39fba3763acabf1d52ecad8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a67279bc5b39fba3763acabf1d52ecad8">operatorNorm</a> () const </td></tr>
<tr class="memdesc:a67279bc5b39fba3763acabf1d52ecad8"><td class="mdescLeft"> </td><td class="mdescRight">Computes the L2 operator norm. <a href="#a67279bc5b39fba3763acabf1d52ecad8">More...</a><br/></td></tr>
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<tr class="memitem:a024a26e49b7865e23e39479de6dc56fc"><td class="memTemplParams" colspan="2">template<typename DerivedU , typename DerivedV > </td></tr>
<tr class="memitem:a024a26e49b7865e23e39479de6dc56fc"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a024a26e49b7865e23e39479de6dc56fc">rankUpdate</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< DerivedU > &u, const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< DerivedV > &v, const <a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> &alpha=<a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a>(1))</td></tr>
<tr class="separator:a024a26e49b7865e23e39479de6dc56fc"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aad06bacc2e9b8345ae92279acc362584"><td class="memTemplParams" colspan="2">template<typename DerivedU > </td></tr>
<tr class="memitem:aad06bacc2e9b8345ae92279acc362584"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#aad06bacc2e9b8345ae92279acc362584">rankUpdate</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< DerivedU > &u, const <a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> &alpha=<a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a>(1))</td></tr>
<tr class="separator:aad06bacc2e9b8345ae92279acc362584"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a76f5bc8a03ec105ab4be1f2b91b7b5d5"><td class="memItemLeft" align="right" valign="top">Index </td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">size</a> () const </td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="friends"></a>
Friends</h2></td></tr>
<tr class="memitem:a1db4d59f32248eaf6a85abc51ba5ca6d"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a1db4d59f32248eaf6a85abc51ba5ca6d"><td class="memTemplItemLeft" align="right" valign="top">SelfadjointProductMatrix<br class="typebreak"/>
< OtherDerived, <br class="typebreak"/>
0, OtherDerived::IsVectorAtCompileTime, <br class="typebreak"/>
MatrixType, Mode, false > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SelfAdjointView.html#a1db4d59f32248eaf6a85abc51ba5ca6d">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &lhs, const <a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a> &rhs)</td></tr>
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<h2 class="groupheader">Member Typedef Documentation</h2>
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<td class="memname">typedef <a class="el" href="classEigen_1_1Matrix.html">Matrix</a><<a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a>, internal::traits<MatrixType>::ColsAtCompileTime, 1> <a class="el" href="classEigen_1_1SelfAdjointView.html#af7cc63140d17b562998188356f30da6f">EigenvaluesReturnType</a></td>
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<p>Return type of <a class="el" href="classEigen_1_1SelfAdjointView.html#a847d0db612cd20e1b796c6a70d0f0d54" title="Computes the eigenvalues of a matrix. ">eigenvalues()</a> </p>
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<td class="memname">typedef <a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a><<a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a>>::Real <a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a></td>
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<p>Real part of <a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b" title="The type of coefficients in this matrix. ">Scalar</a> </p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a> coeff </td>
<td>(</td>
<td class="paramtype">Index </td>
<td class="paramname"><em>row</em>, </td>
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<td class="paramtype">Index </td>
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<dl class="section see"><dt>See Also</dt><dd>MatrixBase::coeff() </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the coordinates must fit into the referenced triangular part </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a>& coeffRef </td>
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<dl class="section see"><dt>See Also</dt><dd>MatrixBase::coeffRef() </dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the coordinates must fit into the referenced triangular part </dd></dl>
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<td class="memname">void copyCoeff </td>
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<dl class="section see"><dt>See Also</dt><dd>MatrixBase::copyCoeff(row,col) </dd></dl>
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<td class="memname">Derived& derived </td>
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<dl class="section return"><dt>Returns</dt><dd>a reference to the derived object </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1MatrixBase.html#a9aaee4fba54baa7d0ca508e094f2d6f9">MatrixBase< Derived >::applyOnTheLeft()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#a6e5b1e71a1916ddd01e7c324831c40dc">MatrixBase< Derived >::applyOnTheRight()</a>, <a class="el" href="classEigen_1_1PermutationBase.html#a975548d0fd92d4b2a2cb09c2adf10ce6">PermutationBase< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >::applyTranspositionOnTheLeft()</a>, <a class="el" href="classEigen_1_1PermutationBase.html#a3f93571373e20799e196513109f5b26e">PermutationBase< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >::applyTranspositionOnTheRight()</a>, <a class="el" href="classEigen_1_1SparseMatrixBase.html#ae762210a1ab89bed1673edc09a6ec8b7">SparseMatrixBase< CwiseBinaryOp< BinaryOp, Lhs, Rhs > >::binaryExpr()</a>, <a class="el" href="classEigen_1_1SparseMatrixBase.html#a878151caf2ff25ebbc76186485f81207">SparseMatrixBase< 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href="classEigen_1_1PermutationBase.html#ac96d811c408d8e282ad0036b1b9ed42f">PermutationBase< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >::operator=()</a>, <a class="el" href="classEigen_1_1DenseBase.html#acde54311cdc2b5731a6d27f7a5f7ad1b">DenseBase< Derived >::operator=()</a>, <a class="el" href="classEigen_1_1Transform.html#a746fdf41f0377f203f231a1705cf6012">Transform< Scalar, Dim, Mode, _Options >::operator=()</a>, <a class="el" href="classEigen_1_1PlainObjectBase.html#a65a58af12990c2e395a7f0b4012d3b94">PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::operator=()</a>, <a class="el" href="classEigen_1_1PlainObjectBase.html#ab5207d4c7f9d20e5fc74bfc9b54620b4">PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::PlainObjectBase()</a>, <a class="el" href="classEigen_1_1PlainObjectBase.html#abe7b7417203825a6e434449cf0ac6529">PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, 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href="classEigen_1_1PermutationBase.html#a71ed95486aeea9fb396e85461ad5b73a">PermutationBase< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >::transpose()</a>, and <a class="el" href="classEigen_1_1SparseMatrixBase.html#aba9ae3923f6caa962ef3418d6872c369">SparseMatrixBase< CwiseBinaryOp< BinaryOp, Lhs, Rhs > >::unaryViewExpr()</a>.</p>
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<td class="memname">const Derived& derived </td>
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<dl class="section return"><dt>Returns</dt><dd>a const reference to the derived object </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>< MatrixType, UpLo >::<a class="el" href="classEigen_1_1SelfAdjointView.html#af7cc63140d17b562998188356f30da6f">EigenvaluesReturnType</a> eigenvalues </td>
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<p>Computes the eigenvalues of a matrix. </p>
<dl class="section return"><dt>Returns</dt><dd>Column vector containing the eigenvalues.</dd></dl>
<p>This is defined in the Eigenvalues module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Eigenvalues></span> </div>
</div><!-- fragment --><p> This function computes the eigenvalues with the help of the <a class="el" href="classEigen_1_1SelfAdjointEigenSolver.html" title="Computes eigenvalues and eigenvectors of selfadjoint matrices. ">SelfAdjointEigenSolver</a> class. The eigenvalues are repeated according to their algebraic multiplicity, so there are as many eigenvalues as rows in the matrix.</p>
<p>Example: </p>
<div class="fragment"><div class="line">MatrixXd ones = <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">MatrixXd::Ones</a>(3,3);</div>
<div class="line"><a class="code" href="group__matrixtypedefs.html#ga3da45e59796fbacf67fa568297927bd1">VectorXd</a> eivals = ones.selfadjointView<<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>>().<a class="code" href="classEigen_1_1SelfAdjointView.html#a847d0db612cd20e1b796c6a70d0f0d54">eigenvalues</a>();</div>
<div class="line">cout << <span class="stringliteral">"The eigenvalues of the 3x3 matrix of ones are:"</span> << endl << eivals << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">The eigenvalues of the 3x3 matrix of ones are:
-3.09e-16
0
3
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SelfAdjointEigenSolver.html#af54b25fe7d2a3f578269381e9e5592a2" title="Returns the eigenvalues of given matrix. ">SelfAdjointEigenSolver::eigenvalues()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#a0ffa061371b1bd1b9f14ecef94b4502e" title="Computes the eigenvalues of a matrix. ">MatrixBase::eigenvalues()</a> </dd></dl>
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<td class="memname">void evalTo </td>
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<p>Assigns a triangular or selfadjoint matrix to a dense matrix. If the matrix is triangular, the opposite part is set to zero. </p>
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<td class="memname">void evalToLazy </td>
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<p>Assigns a triangular or selfadjoint matrix to a dense matrix. If the matrix is triangular, the opposite part is set to zero. </p>
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<td class="memname">const <a class="el" href="classEigen_1_1LDLT.html">LDLT</a>< typename <a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>< MatrixType, UpLo >::PlainObject, UpLo > ldlt </td>
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<p>This is defined in the Cholesky module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Cholesky></span> </div>
</div><!-- fragment --> <dl class="section return"><dt>Returns</dt><dd>the Cholesky decomposition with full pivoting without square root of <code>*this</code> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1LLT.html">LLT</a>< typename <a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>< MatrixType, UpLo >::PlainObject, UpLo > llt </td>
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<p>This is defined in the Cholesky module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Cholesky></span> </div>
</div><!-- fragment --> <dl class="section return"><dt>Returns</dt><dd>the <a class="el" href="classEigen_1_1LLT.html" title="Standard Cholesky decomposition (LL^T) of a matrix and associated features. ">LLT</a> decomposition of <code>*this</code> </dd></dl>
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<td class="memname">SelfadjointProductMatrix<MatrixType,Mode,false,OtherDerived,0,OtherDerived::IsVectorAtCompileTime> operator* </td>
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<p>Efficient self-adjoint matrix times vector/matrix product </p>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>< MatrixType, UpLo >::<a class="el" href="classEigen_1_1SelfAdjointView.html#acb5c3dc237f99cf17167e8a629f01b43">RealScalar</a> operatorNorm </td>
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<p>Computes the L2 operator norm. </p>
<dl class="section return"><dt>Returns</dt><dd>Operator norm of the matrix.</dd></dl>
<p>This is defined in the Eigenvalues module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Eigenvalues></span> </div>
</div><!-- fragment --><p> This function computes the L2 operator norm of a self-adjoint matrix. For a self-adjoint matrix, the operator norm is the largest eigenvalue.</p>
<p>The current implementation uses the eigenvalues of the matrix, as computed by <a class="el" href="classEigen_1_1SelfAdjointView.html#a847d0db612cd20e1b796c6a70d0f0d54" title="Computes the eigenvalues of a matrix. ">eigenvalues()</a>, to compute the operator norm of the matrix.</p>
<p>Example: </p>
<div class="fragment"><div class="line">MatrixXd ones = <a class="code" href="classEigen_1_1DenseBase.html#a2278addf9a3c977d40322571a0df8ac9">MatrixXd::Ones</a>(3,3);</div>
<div class="line">cout << <span class="stringliteral">"The operator norm of the 3x3 matrix of ones is "</span></div>
<div class="line"> << ones.selfadjointView<<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>>().<a class="code" href="classEigen_1_1SelfAdjointView.html#a67279bc5b39fba3763acabf1d52ecad8">operatorNorm</a>() << endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">The operator norm of the 3x3 matrix of ones is 3
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SelfAdjointView.html#a847d0db612cd20e1b796c6a70d0f0d54" title="Computes the eigenvalues of a matrix. ">eigenvalues()</a>, <a class="el" href="classEigen_1_1MatrixBase.html#a0650a523c77a498a88b4998809d0bd14" title="Computes the L2 operator norm. ">MatrixBase::operatorNorm()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>& rankUpdate </td>
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<p>Perform a symmetric rank 2 update of the selfadjoint matrix <code>*this</code>: <img class="formulaInl" alt="$ this = this + \alpha u v^* + conj(\alpha) v u^* $" src="form_27.png"/> </p>
<dl class="section return"><dt>Returns</dt><dd>a reference to <code>*this</code> </dd></dl>
<p>The vectors <em>u</em> and <code>v</code> <b>must</b> be column vectors, however they can be a adjoint expression without any overhead. Only the meaningful triangular part of the matrix is updated, the rest is left unchanged.</p>
<dl class="section see"><dt>See Also</dt><dd>rankUpdate(const MatrixBase<DerivedU>&, Scalar) </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>& rankUpdate </td>
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<td class="paramname"><em>alpha</em> = <code><a class="el" href="classEigen_1_1SelfAdjointView.html#a9ef555098df604af49b0a00d389d823b">Scalar</a>(1)</code> </td>
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<p>Perform a symmetric rank K update of the selfadjoint matrix <code>*this</code>: <img class="formulaInl" alt="$ this = this + \alpha ( u u^* ) $" src="form_28.png"/> where <em>u</em> is a vector or matrix.</p>
<dl class="section return"><dt>Returns</dt><dd>a reference to <code>*this</code> </dd></dl>
<p>Note that to perform <img class="formulaInl" alt="$ this = this + \alpha ( u^* u ) $" src="form_29.png"/> you can simply call this function with u.adjoint().</p>
<dl class="section see"><dt>See Also</dt><dd>rankUpdate(const MatrixBase<DerivedU>&, const MatrixBase<DerivedV>&, Scalar) </dd></dl>
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<dl class="section return"><dt>Returns</dt><dd>the number of coefficients, which is <a class="el" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows()</a>*cols(). </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="structEigen_1_1EigenBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows()</a>, <a class="el" href="structEigen_1_1EigenBase.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols()</a>, SizeAtCompileTime. </dd></dl>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<td class="memname">SelfadjointProductMatrix<OtherDerived,0,OtherDerived::IsVectorAtCompileTime,MatrixType,Mode,false> operator* </td>
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<p>Efficient vector/matrix times self-adjoint matrix product </p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="SelfAdjointView_8h_source.html">SelfAdjointView.h</a></li>
<li><a class="el" href="LDLT_8h_source.html">LDLT.h</a></li>
<li><a class="el" href="LLT_8h_source.html">LLT.h</a></li>
<li><a class="el" href="SelfadjointProduct_8h_source.html">SelfadjointProduct.h</a></li>
<li><a class="el" href="SelfadjointRank2Update_8h_source.html">SelfadjointRank2Update.h</a></li>
<li><a class="el" href="MatrixBaseEigenvalues_8h_source.html">MatrixBaseEigenvalues.h</a></li>
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