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<div class="title">SimplicialCholesky< _MatrixType, _UpLo > Class Template Reference<div class="ingroups"><a class="el" href="group__SparseCholesky__Module.html">SparseCholesky 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, int _UpLo = Lower><br/>
class Eigen::SimplicialCholesky< _MatrixType, _UpLo ></h3>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1SimplicialLDLT.html" title="A direct sparse LDLT Cholesky factorizations without square root. ">SimplicialLDLT</a>, class <a class="el" href="classEigen_1_1SimplicialLLT.html" title="A direct sparse LLT Cholesky factorizations. ">SimplicialLLT</a> </dd></dl>
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<img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for SimplicialCholesky< _MatrixType, _UpLo >:</div>
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<div class="center"><img src="classEigen_1_1SimplicialCholesky__inherit__graph.png" border="0" usemap="#SimplicialCholesky_3_01__MatrixType_00_01__UpLo_01_4_inherit__map" alt="Inheritance graph"/></div>
<map name="SimplicialCholesky_3_01__MatrixType_00_01__UpLo_01_4_inherit__map" id="SimplicialCholesky_3_01__MatrixType_00_01__UpLo_01_4_inherit__map">
<area shape="rect" id="node2" href="classEigen_1_1SimplicialCholeskyBase.html" title="{SimplicialCholeskyBase\l\< SimplicialCholesky\<\l _MatrixType, _UpLo \> \>\n|# m_analysisIsOk\l# m_diag\l# m_factorizationIsOk\l# m_info\l# m_isInitialized\l# m_matrix\l# m_nonZerosPerCol\l# m_P\l# m_parent\l# m_Pinv\l# m_shiftOffset\l# m_shiftScale\l|+ cols()\l+ derived()\l+ derived()\l+ info()\l+ permutationP()\l+ permutationPinv()\l+ rows()\l+ setShift()\l+ SimplicialCholeskyBase()\l+ SimplicialCholeskyBase()\l+ solve()\l+ solve()\l+ ~SimplicialCholeskyBase()\l# analyzePattern()\l# analyzePattern_preordered()\l# compute()\l# factorize()\l# factorize_preordered()\l# ordering()\l}" alt="" coords="5,6,200,538"/></map>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a2adabb7d22f4ca60b8cc82b3c5db33ca"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholesky.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">analyzePattern</a> (const MatrixType &a)</td></tr>
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<tr class="memitem:af9baf4f7c7dd5791f9d6c21143ad6af2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholesky.html#af9baf4f7c7dd5791f9d6c21143ad6af2">compute</a> (const MatrixType &matrix)</td></tr>
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<tr class="memitem:aa45af9cb61ffb74e1b6cbde39f641166"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholesky.html#aa45af9cb61ffb74e1b6cbde39f641166">factorize</a> (const MatrixType &a)</td></tr>
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<tr class="memitem:a0c06d5c2034ebb329c54235369643ad2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#a0c06d5c2034ebb329c54235369643ad2">info</a> () const</td></tr>
<tr class="memdesc:a0c06d5c2034ebb329c54235369643ad2"><td class="mdescLeft"> </td><td class="mdescRight">Reports whether previous computation was successful. <a href="#a0c06d5c2034ebb329c54235369643ad2">More...</a><br/></td></tr>
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<tr class="memitem:a627368b476d29ff4dbb0813ac79ba342"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a><br class="typebreak"/>
< <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, Index > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#a627368b476d29ff4dbb0813ac79ba342">permutationP</a> () const</td></tr>
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<tr class="memitem:aceffb826f00a940b157dfea0dc6968a7"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a><br class="typebreak"/>
< <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, <a class="el" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>, Index > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#aceffb826f00a940b157dfea0dc6968a7">permutationPinv</a> () const</td></tr>
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<tr class="memitem:a299d333dcd2cf63c4c2f6cfc0a95da7c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a><br class="typebreak"/>
< _MatrixType, _UpLo > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#a299d333dcd2cf63c4c2f6cfc0a95da7c">setShift</a> (const RealScalar &offset, const RealScalar &scale=1)</td></tr>
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<tr class="memitem:a2eb06df831ecd66f56995e4bdee0308f"><td class="memItemLeft" align="right" valign="top">const internal::solve_retval<br class="typebreak"/>
< <a class="el" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>, Rhs > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#a2eb06df831ecd66f56995e4bdee0308f">solve</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Rhs > &b) const</td></tr>
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<tr class="memitem:abe2318376d9cb41fa612b793035da397"><td class="memItemLeft" align="right" valign="top">const <br class="typebreak"/>
internal::sparse_solve_retval<br class="typebreak"/>
< <a class="el" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>, Rhs > </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#abe2318376d9cb41fa612b793035da397">solve</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > &b) const</td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">void analyzePattern </td>
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<p>Performs a symbolic decomposition on the sparcity of <em>matrix</em>.</p>
<p>This function is particularly useful when solving for several problems having the same structure.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholesky.html#aa45af9cb61ffb74e1b6cbde39f641166">factorize()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>& compute </td>
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<td class="paramtype">const MatrixType & </td>
<td class="paramname"><em>matrix</em></td><td>)</td>
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<p>Computes the sparse Cholesky decomposition of <em>matrix</em> </p>
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<td class="memname">void factorize </td>
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<p>Performs a numeric decomposition of <em>matrix</em> </p>
<p>The given matrix must has the same sparcity than the matrix on which the symbolic decomposition has been performed.</p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholesky.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">analyzePattern()</a> </dd></dl>
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<p>Reports whether previous computation was successful. </p>
<dl class="section return"><dt>Returns</dt><dd><code>Success</code> if computation was succesful, <code>NumericalIssue</code> if the matrix.appears to be negative. </dd></dl>
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<td class="memname">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>& permutationP </td>
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<dl class="section return"><dt>Returns</dt><dd>the permutation P </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#aceffb826f00a940b157dfea0dc6968a7">permutationPinv()</a> </dd></dl>
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<td class="memname">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>& permutationPinv </td>
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<dl class="section return"><dt>Returns</dt><dd>the inverse P^-1 of the permutation P </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#a627368b476d29ff4dbb0813ac79ba342">permutationP()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>< _MatrixType, _UpLo > & setShift </td>
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<td class="paramtype">const RealScalar & </td>
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<p>Sets the shift parameters that will be used to adjust the diagonal coefficients during the numerical factorization.</p>
<p>During the numerical factorization, the diagonal coefficients are transformed by the following linear model:<br/>
<code>d_ii</code> = <em>offset</em> + <em>scale</em> * <code>d_ii</code> </p>
<p>The default is the identity transformation with <em>offset=0</em>, and <em>scale=1</em>.</p>
<dl class="section return"><dt>Returns</dt><dd>a reference to <code>*this</code>. </dd></dl>
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<td class="memname">const internal::solve_retval<<a class="el" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>, Rhs> solve </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Rhs > & </td>
<td class="paramname"><em>b</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#acc1ae1a60943b6cad18724f348f75a70">compute()</a> </dd></dl>
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<td class="memname">const internal::sparse_solve_retval<<a class="el" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a>, Rhs> solve </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > & </td>
<td class="paramname"><em>b</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1SimplicialCholeskyBase.html#acc1ae1a60943b6cad18724f348f75a70">compute()</a> </dd></dl>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="SimplicialCholesky_8h_source.html">SimplicialCholesky.h</a></li>
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