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<div class="title">TriangularView< _MatrixType, _Mode > Class Template Reference<div class="ingroups"><a class="el" href="group__Core__Module.html">Core module</a></div></div> </div>
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<div class="textblock"><h3>template<typename _MatrixType, unsigned int _Mode><br/>
class Eigen::TriangularView< _MatrixType, _Mode ></h3>
<p>Base class for triangular part in a matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">MatrixType</td><td>the type of the object in which we are taking the triangular part </td></tr>
<tr><td class="paramname">Mode</td><td>the kind of triangular matrix expression to construct. Can be <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>, <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>, <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba65b1d67b2bb2e4a85b5f6a8863cd7109">UnitUpper</a>, <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba0dc6c411b3fc7ae6e32860a7872b7d18">UnitLower</a>, <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910babf11791f004a059cfdd9b941c76f3703">StrictlyUpper</a>, or <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba29eb98bd08096415c55f37ed4ac2af11">StrictlyLower</a>. This is in fact a bit field; it must have either <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a> or <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>, and additionnaly it may have <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a> or <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba72b90f18314e6abbe9193224547df48d">ZeroDiag</a> or neither.</td></tr>
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<p>This class represents a triangular part of a matrix, not necessarily square. Strictly speaking, for rectangular matrices one should speak of "trapezoid" parts. This class is the return type of MatrixBase::triangularView() and most of the time this is the only way it is used.</p>
<dl class="section see"><dt>See Also</dt><dd>MatrixBase::triangularView() </dd></dl>
</div>
<p>Inherits TriangularBase< Derived >.</p>
<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:a6e01ee01c822801c4aa1a5bbce77c0ca"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>< const <br class="typebreak"/>
typename <br class="typebreak"/>
MatrixType::AdjointReturnType, <br class="typebreak"/>
TransposeMode > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a6e01ee01c822801c4aa1a5bbce77c0ca">adjoint</a> () const </td></tr>
<tr class="separator:a6e01ee01c822801c4aa1a5bbce77c0ca"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afacbe8d905dd8b00eb52e72c2e938aed"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.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">Scalar & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a4386da578a119f7b500d0b22cab2de0e">coeffRef</a> (Index row, Index col)</td></tr>
<tr class="separator:a4386da578a119f7b500d0b22cab2de0e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a57f41303472580f266cd951a234b035f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><br class="typebreak"/>
< MatrixConjugateReturnType, <br class="typebreak"/>
Mode > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a57f41303472580f266cd951a234b035f">conjugate</a> ()</td></tr>
<tr class="separator:a57f41303472580f266cd951a234b035f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0fb086b8c07505645d7e6a937d2e6b05"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><br class="typebreak"/>
< MatrixConjugateReturnType, <br class="typebreak"/>
Mode > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a0fb086b8c07505645d7e6a937d2e6b05">conjugate</a> () const </td></tr>
<tr class="separator:a0fb086b8c07505645d7e6a937d2e6b05"><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>
<tr class="separator:aa84222add803ad7c9db07dd4dd91d5d9"><td class="memSeparator" colspan="2"> </td></tr>
<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>
<tr class="separator:a2850de52161dfe2bb6e380f1892276b8"><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:a98692bec8f3d859f1e7a60eab87ac571"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a98692bec8f3d859f1e7a60eab87ac571">fill</a> (const Scalar &value)</td></tr>
<tr class="separator:a98692bec8f3d859f1e7a60eab87ac571"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a22dc9719325c5fdeba88105a874ab3a8"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a22dc9719325c5fdeba88105a874ab3a8"><td class="memTemplItemLeft" align="right" valign="top">TriangularProduct< Mode, true, <br class="typebreak"/>
MatrixType, false, <br class="typebreak"/>
OtherDerived, <br class="typebreak"/>
OtherDerived::IsVectorAtCompileTime > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a22dc9719325c5fdeba88105a874ab3a8">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &rhs) const </td></tr>
<tr class="separator:a22dc9719325c5fdeba88105a874ab3a8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1dc18a489eb53c2759e84864b51c76d7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a1dc18a489eb53c2759e84864b51c76d7">operator*=</a> (const typename internal::traits< MatrixType >::Scalar &other)</td></tr>
<tr class="separator:a1dc18a489eb53c2759e84864b51c76d7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a778602f2edd03e48cb4970d33dadd02d"><td class="memTemplParams" colspan="2">template<typename Other > </td></tr>
<tr class="memitem:a778602f2edd03e48cb4970d33dadd02d"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a778602f2edd03e48cb4970d33dadd02d">operator+=</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Other > &other)</td></tr>
<tr class="separator:a778602f2edd03e48cb4970d33dadd02d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a167200a169385cbdb7e089b2f273b0f4"><td class="memTemplParams" colspan="2">template<typename Other > </td></tr>
<tr class="memitem:a167200a169385cbdb7e089b2f273b0f4"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a167200a169385cbdb7e089b2f273b0f4">operator-=</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>< Other > &other)</td></tr>
<tr class="separator:a167200a169385cbdb7e089b2f273b0f4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab8990a5fa1a410c4618a072601e1700e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#ab8990a5fa1a410c4618a072601e1700e">operator/=</a> (const typename internal::traits< MatrixType >::Scalar &other)</td></tr>
<tr class="separator:ab8990a5fa1a410c4618a072601e1700e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad5f727632915007a7957972072c6d486"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:ad5f727632915007a7957972072c6d486"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#ad5f727632915007a7957972072c6d486">operator=</a> (const TriangularBase< OtherDerived > &other)</td></tr>
<tr class="separator:ad5f727632915007a7957972072c6d486"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0090f620cd02d7370af4c3e9f463ef87"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a0090f620cd02d7370af4c3e9f463ef87">setConstant</a> (const Scalar &value)</td></tr>
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<tr class="memitem:adec7a08bb1d11e308e1450b7c00cf11f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#adec7a08bb1d11e308e1450b7c00cf11f">setOnes</a> ()</td></tr>
<tr class="separator:adec7a08bb1d11e308e1450b7c00cf11f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a84ca526be83387c0d3925e961f238b97"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a84ca526be83387c0d3925e961f238b97">setZero</a> ()</td></tr>
<tr class="separator:a84ca526be83387c0d3925e961f238b97"><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:aa4a11ffc4c8895aaec7ca00668e18c84"><td class="memTemplParams" colspan="2">template<int Side, typename Other > </td></tr>
<tr class="memitem:aa4a11ffc4c8895aaec7ca00668e18c84"><td class="memTemplItemLeft" align="right" valign="top">const <br class="typebreak"/>
internal::triangular_solve_retval<br class="typebreak"/>
< Side, <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><br class="typebreak"/>
< Derived, Mode >, Other > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#aa4a11ffc4c8895aaec7ca00668e18c84">solve</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Other > &other) const </td></tr>
<tr class="separator:aa4a11ffc4c8895aaec7ca00668e18c84"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a136a6a60e421673ac17e8c4cfd51681b"><td class="memTemplParams" colspan="2">template<int Side, typename OtherDerived > </td></tr>
<tr class="memitem:a136a6a60e421673ac17e8c4cfd51681b"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b">solveInPlace</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &other) const </td></tr>
<tr class="separator:a136a6a60e421673ac17e8c4cfd51681b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac0ea12e12ab30e0fa3381df9ed33290f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>< <a class="el" href="classEigen_1_1Transpose.html">Transpose</a><br class="typebreak"/>
< MatrixType >, TransposeMode > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#ac0ea12e12ab30e0fa3381df9ed33290f">transpose</a> ()</td></tr>
<tr class="separator:ac0ea12e12ab30e0fa3381df9ed33290f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abbbe3565361997478b8cf948dba995ec"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><br class="typebreak"/>
< <a class="el" href="classEigen_1_1Transpose.html">Transpose</a>< MatrixType ><br class="typebreak"/>
, TransposeMode > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#abbbe3565361997478b8cf948dba995ec">transpose</a> () const </td></tr>
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Friends</h2></td></tr>
<tr class="memitem:a297aec6b4d5ef6d9e014b541eb1d9a6e"><td class="memTemplParams" colspan="2">template<typename OtherDerived > </td></tr>
<tr class="memitem:a297aec6b4d5ef6d9e014b541eb1d9a6e"><td class="memTemplItemLeft" align="right" valign="top">TriangularProduct< Mode, false, <br class="typebreak"/>
OtherDerived, <br class="typebreak"/>
OtherDerived::IsVectorAtCompileTime, <br class="typebreak"/>
MatrixType, false > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a297aec6b4d5ef6d9e014b541eb1d9a6e">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< OtherDerived > &lhs, const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a> &rhs)</td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><const typename MatrixType::AdjointReturnType,TransposeMode> adjoint </td>
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<td class="paramname"></td><td>)</td>
<td> const</td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ac43d5834cffcedbd27777329a8f5eeca">MatrixBase::adjoint() const </a> </dd></dl>
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<td class="memname">Scalar 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>
<td class="paramname"><em>col</em> </td>
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<td></td>
<td>)</td>
<td></td><td> const</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">Scalar& coeffRef </td>
<td>(</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"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><MatrixConjugateReturnType,Mode> conjugate </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#aab6c2241712d7faf07019a0d86d3fb79">MatrixBase::conjugate()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><MatrixConjugateReturnType,Mode> conjugate </td>
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<td> const</td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#aab6c2241712d7faf07019a0d86d3fb79">MatrixBase::conjugate() const </a> </dd></dl>
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<td class="memname">void copyCoeff </td>
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<td class="paramname"><em>row</em>, </td>
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<td></td>
<td class="paramtype">Index </td>
<td class="paramname"><em>col</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">Other & </td>
<td class="paramname"><em>other</em> </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#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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<dl class="section return"><dt>Returns</dt><dd>a const reference to the derived object </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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<td> const</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 fill </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a98692bec8f3d859f1e7a60eab87ac571">MatrixBase::fill()</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1TriangularView.html#a0090f620cd02d7370af4c3e9f463ef87">TriangularView< _MatrixType, _Mode >::setConstant()</a>.</p>
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<td class="memname">TriangularProduct<Mode,true,MatrixType,false,OtherDerived, OtherDerived::IsVectorAtCompileTime> operator* </td>
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<p>Efficient triangular matrix times vector/matrix product </p>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& operator*= </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#ac9beaa3954c989bbbc59b361d9423e78">MatrixBase::operator*=()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& operator+= </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a7aaf408b3bfbdd38749b01979393e814">MatrixBase::operator+=()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& operator-= </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a2da6ae5caa522c1efec3a75428b22143">MatrixBase::operator-=()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& operator/= </td>
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<dl class="section see"><dt>See Also</dt><dd>MatrixBase::operator/=() </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& operator= </td>
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<p>Assigns a triangular matrix to a triangular part of a dense matrix </p>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& setConstant </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a351ca566980cf96d9cdd61f3ce0cf94f">MatrixBase::setConstant()</a> </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1TriangularView.html#a98692bec8f3d859f1e7a60eab87ac571">TriangularView< _MatrixType, _Mode >::fill()</a>, <a class="el" href="classEigen_1_1TriangularView.html#adec7a08bb1d11e308e1450b7c00cf11f">TriangularView< _MatrixType, _Mode >::setOnes()</a>, and <a class="el" href="classEigen_1_1TriangularView.html#a84ca526be83387c0d3925e961f238b97">TriangularView< _MatrixType, _Mode >::setZero()</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& setOnes </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a196e62ee8a1fc3b4af631e955d650cfc">MatrixBase::setOnes()</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1TriangularView.html#a0090f620cd02d7370af4c3e9f463ef87">TriangularView< _MatrixType, _Mode >::setConstant()</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a>& setZero </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a9053ca03ac251002768a54742be28fce">MatrixBase::setZero()</a> </dd></dl>
<p>References <a class="el" href="classEigen_1_1TriangularView.html#a0090f620cd02d7370af4c3e9f463ef87">TriangularView< _MatrixType, _Mode >::setConstant()</a>.</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">const internal::triangular_solve_retval<Side,<a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><Derived,Mode>,Other> solve </td>
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<dl class="section return"><dt>Returns</dt><dd>the product of the inverse of <code>*this</code> with <em>other</em>, <em>*this</em> being triangular.</dd></dl>
<p>This function computes the inverse-matrix matrix product inverse(<code>*this</code>) * <em>other</em> if <em>Side==OnTheLeft</em> (the default), or the right-inverse-multiply <em>other</em> * inverse(<code>*this</code>) if <em>Side==OnTheRight</em>.</p>
<p>The matrix <code>*this</code> must be triangular and invertible (i.e., all the coefficients of the diagonal must be non zero). It works as a forward (resp. backward) substitution if <code>*this</code> is an upper (resp. lower) triangular matrix.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><span class="preprocessor">#ifndef _MSC_VER</span></div>
<div class="line"><span class="preprocessor"></span><span class="preprocessor"> #warning deprecated</span></div>
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<div class="line"><span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><span class="comment">Matrix3d m = Matrix3d::Zero();</span></div>
<div class="line"><span class="comment">m.part<Eigen::UpperTriangular>().setOnes();</span></div>
<div class="line"><span class="comment">cout << "Here is the matrix m:" << endl << m << endl;</span></div>
<div class="line"><span class="comment">Matrix3d n = Matrix3d::Ones();</span></div>
<div class="line"><span class="comment">n.part<Eigen::LowerTriangular>() *= 2;</span></div>
<div class="line"><span class="comment">cout << "Here is the matrix n:" << endl << n << endl;</span></div>
<div class="line"><span class="comment">cout << "And now here is m.inverse()*n, taking advantage of the fact that"</span></div>
<div class="line"><span class="comment"> " m is upper-triangular:" << endl</span></div>
<div class="line"><span class="comment"> << m.marked<Eigen::UpperTriangular>().solveTriangular(n);</span></div>
<div class="line"><span class="comment">*/</span></div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment"></pre><p>This function returns an expression of the inverse-multiply and can works in-place if it is assigned to the same matrix or vector <em>other</em>.</p>
<p>For users coming from BLAS, this function (and more specifically <a class="el" href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b">solveInPlace()</a>) offer all the operations supported by the <code>*TRSV</code> and <code>*TRSM</code> BLAS routines.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b">TriangularView::solveInPlace()</a> </dd></dl>
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<td class="memname">void solveInPlace </td>
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<p>"in-place" version of TriangularView::solve() where the result is written in <em>other</em> </p>
<dl class="section warning"><dt>Warning</dt><dd>The parameter is only marked 'const' to make the C++ compiler accept a temporary expression here. This function will const_cast it, so constness isn't honored here.</dd></dl>
<p>See <a class="el" href="classEigen_1_1TriangularView.html" title="Base class for triangular part in a matrix. ">TriangularView</a>:solve() for the details. </p>
<p>References <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Eigen::Lower</a>, <a class="el" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">Eigen::OnTheLeft</a>, <a class="el" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">Eigen::OnTheRight</a>, <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Eigen::Upper</a>, and <a class="el" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba72b90f18314e6abbe9193224547df48d">Eigen::ZeroDiag</a>.</p>
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<td class="memname"><a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><<a class="el" href="classEigen_1_1Transpose.html">Transpose</a><MatrixType>,TransposeMode> transpose </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3c187c30922fc5e42f208ae3eb0970ee">MatrixBase::transpose()</a> </dd></dl>
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<td class="memname">const <a class="el" href="classEigen_1_1TriangularView.html">TriangularView</a><<a class="el" href="classEigen_1_1Transpose.html">Transpose</a><MatrixType>,TransposeMode> transpose </td>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a228b8f9641f46db6e92e06374ea87918">MatrixBase::transpose() const </a> </dd></dl>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<td class="memname">TriangularProduct<Mode,false,OtherDerived,OtherDerived::IsVectorAtCompileTime,MatrixType,false> operator* </td>
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<p>Efficient vector/matrix times triangular 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="TriangularMatrix_8h_source.html">TriangularMatrix.h</a></li>
<li><a class="el" href="GeneralMatrixMatrixTriangular_8h_source.html">GeneralMatrixMatrixTriangular.h</a></li>
<li><a class="el" href="SolveTriangular_8h_source.html">SolveTriangular.h</a></li>
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