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<div class="title">SparseSelfAdjointView< MatrixType, UpLo > Class Template Reference<div class="ingroups"><a class="el" href="group__SparseCore__Module.html">SparseCore 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::SparseSelfAdjointView< MatrixType, UpLo ></h3>
<p>Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint 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">UpLo</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>SparseMatrixBase::selfadjointView() </dd></dl>
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<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for SparseSelfAdjointView< MatrixType, UpLo >:</div>
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<div class="center"><img src="classEigen_1_1SparseSelfAdjointView__inherit__graph.png" border="0" usemap="#SparseSelfAdjointView_3_01MatrixType_00_01UpLo_01_4_inherit__map" alt="Inheritance graph"/></div>
<map name="SparseSelfAdjointView_3_01MatrixType_00_01UpLo_01_4_inherit__map" id="SparseSelfAdjointView_3_01MatrixType_00_01UpLo_01_4_inherit__map">
<area shape="rect" id="node2" href="structEigen_1_1EigenBase.html" title="{EigenBase\< SparseSelfAdjoint\lView\< MatrixType, UpLo \> \>\n||+ addTo()\l+ applyThisOnTheLeft()\l+ applyThisOnTheRight()\l+ cols()\l+ const_cast_derived()\l+ const_derived()\l+ derived()\l+ derived()\l+ evalTo()\l+ rows()\l+ size()\l+ subTo()\l}" alt="" coords="5,5,205,259"/></map>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:aa84222add803ad7c9db07dd4dd91d5d9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a><br class="typebreak"/>
< MatrixType, UpLo > & </td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a> ()</td></tr>
<tr class="separator:aa84222add803ad7c9db07dd4dd91d5d9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2850de52161dfe2bb6e380f1892276b8"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a><br class="typebreak"/>
< MatrixType, UpLo > & </td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a2850de52161dfe2bb6e380f1892276b8">derived</a> () const</td></tr>
<tr class="separator:a2850de52161dfe2bb6e380f1892276b8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6becf66c0294e516cbe73141c4276452"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a6becf66c0294e516cbe73141c4276452"><td class="memTemplItemLeft" align="right" valign="top">SparseSparseProduct< typename <br class="typebreak"/>
OtherDerived::PlainObject, <br class="typebreak"/>
OtherDerived > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a6becf66c0294e516cbe73141c4276452">operator*</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< OtherDerived > &rhs) const </td></tr>
<tr class="separator:a6becf66c0294e516cbe73141c4276452"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a33246b96f75f2d1d38f13ffbf1cfdde1"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a33246b96f75f2d1d38f13ffbf1cfdde1"><td class="memTemplItemLeft" align="right" valign="top">SparseSelfAdjointTimeDenseProduct<br class="typebreak"/>
< MatrixType, OtherDerived, <br class="typebreak"/>
UpLo > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a33246b96f75f2d1d38f13ffbf1cfdde1">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &rhs) const </td></tr>
<tr class="separator:a33246b96f75f2d1d38f13ffbf1cfdde1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0085177e43effc252b357facf2ab6ce4"><td class="memTemplParams" colspan="2">template<typename DerivedU > </td></tr>
<tr class="memitem:a0085177e43effc252b357facf2ab6ce4"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a0085177e43effc252b357facf2ab6ce4">rankUpdate</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< DerivedU > &u, const Scalar &alpha=Scalar(1))</td></tr>
<tr class="separator:a0085177e43effc252b357facf2ab6ce4"><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>
<tr class="separator:a76f5bc8a03ec105ab4be1f2b91b7b5d5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0a6190f7932927f85ef69f2f63d0c9c4"><td class="memItemLeft" align="right" valign="top">SparseSymmetricPermutationProduct<br class="typebreak"/>
< _MatrixTypeNested, UpLo > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a0a6190f7932927f85ef69f2f63d0c9c4">twistedBy</a> (const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a>< <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, Index > &perm) const </td></tr>
<tr class="separator:a0a6190f7932927f85ef69f2f63d0c9c4"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="friends"></a>
Friends</h2></td></tr>
<tr class="memitem:a75bf70d2a0ed3334b4676132f98e677c"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a75bf70d2a0ed3334b4676132f98e677c"><td class="memTemplItemLeft" align="right" valign="top">SparseSparseProduct<br class="typebreak"/>
< OtherDerived, typename <br class="typebreak"/>
OtherDerived::PlainObject > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a75bf70d2a0ed3334b4676132f98e677c">operator*</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< OtherDerived > &lhs, const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a> &rhs)</td></tr>
<tr class="separator:a75bf70d2a0ed3334b4676132f98e677c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aabbbcb01be70dbe9cde68fa72ea5c252"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:aabbbcb01be70dbe9cde68fa72ea5c252"><td class="memTemplItemLeft" align="right" valign="top">DenseTimeSparseSelfAdjointProduct<br class="typebreak"/>
< OtherDerived, MatrixType, <br class="typebreak"/>
UpLo > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#aabbbcb01be70dbe9cde68fa72ea5c252">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &lhs, const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a> &rhs)</td></tr>
<tr class="separator:aabbbcb01be70dbe9cde68fa72ea5c252"><td class="memSeparator" colspan="2"> </td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>< MatrixType, UpLo > & derived </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>a reference to the derived object </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>< MatrixType, UpLo > & derived </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</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">SparseSparseProduct<typename OtherDerived::PlainObject, OtherDerived> operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< OtherDerived > & </td>
<td class="paramname"><em>rhs</em></td><td>)</td>
<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the matrix product between a sparse self-adjoint matrix <code>*this</code> and a sparse matrix <em>rhs</em>.</dd></dl>
<p>Note that there is no algorithmic advantage of performing such a product compared to a general sparse-sparse matrix product. Indeed, the SparseSelfadjointView operand is first copied into a temporary <a class="el" href="classEigen_1_1SparseMatrix.html" title="A versatible sparse matrix representation. ">SparseMatrix</a> before computing the product. </p>
<p>References <a class="el" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">EigenBase< Derived >::derived()</a>.</p>
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<td class="memname">SparseSelfAdjointTimeDenseProduct<MatrixType,OtherDerived,UpLo> operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > & </td>
<td class="paramname"><em>rhs</em></td><td>)</td>
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<p>Efficient sparse self-adjoint matrix times dense vector/matrix product </p>
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<td class="memname"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>& rankUpdate </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< DerivedU > & </td>
<td class="paramname"><em>u</em>, </td>
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<td class="paramtype">const Scalar & </td>
<td class="paramname"><em>alpha</em> = <code>Scalar(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^* ) $" src="form_28.png"/> where <em>u</em> is a vector or matrix.</p>
<dl class="section return"><dt>Returns</dt><dd>a reference to <code>*this</code> </dd></dl>
<p>To perform <img class="formulaInl" alt="$ this = this + \alpha ( u^* u ) $" src="form_29.png"/> you can simply call this function with u.adjoint(). </p>
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<td class="memname">Index size </td>
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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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<td class="memname">SparseSymmetricPermutationProduct<_MatrixTypeNested,UpLo> twistedBy </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a>< <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, Index > & </td>
<td class="paramname"><em>perm</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of P H P^-1 </dd></dl>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<td class="memname">SparseSparseProduct<OtherDerived, typename OtherDerived::PlainObject > operator* </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< OtherDerived > & </td>
<td class="paramname"><em>lhs</em>, </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>< MatrixType, UpLo > & </td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the matrix product between a sparse matrix <em>lhs</em> and a sparse self-adjoint matrix <em>rhs</em>.</dd></dl>
<p>Note that there is no algorithmic advantage of performing such a product compared to a general sparse-sparse matrix product. Indeed, the SparseSelfadjointView operand is first copied into a temporary <a class="el" href="classEigen_1_1SparseMatrix.html" title="A versatible sparse matrix representation. ">SparseMatrix</a> before computing the product. </p>
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<td class="memname">DenseTimeSparseSelfAdjointProduct<OtherDerived,MatrixType,UpLo> operator* </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > & </td>
<td class="paramname"><em>lhs</em>, </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>< MatrixType, UpLo > & </td>
<td class="paramname"><em>rhs</em> </td>
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<p>Efficient dense vector/matrix times sparse self-adjoint matrix product </p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="SparseSelfAdjointView_8h_source.html">SparseSelfAdjointView.h</a></li>
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