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<p>The interface between the SDPCone and the matrix S.
<a href="#details">More...</a></p>
<p><a href="dsdpdualmat_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Data Structures</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat_C</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents an S matrix for one block in the semidefinite cone. <a href="structDSDPDualMat__C.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="typedef-members"></a>
Typedefs</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef struct <a class="el" href="structDSDPDualMat__C.html">DSDPDualMat_C</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a5fa45437881b3d9fc4178c826fa79a7a">DSDPDualMat</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents an S matrix for one block in the semidefinite cone. <a href="#a5fa45437881b3d9fc4178c826fa79a7a"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a6c0bda5dd0bb79c3dd4ae1846bb091ed">DSDPDualMatCholeskyBackwardMultiply</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Multiply by triangular matrix. <a href="#a6c0bda5dd0bb79c3dd4ae1846bb091ed"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a9c3ab55e6791129ced2ffb70a9483874">DSDPDualMatCholeskyFactor</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="dsdpbasictypes_8h.html#ae667f2bff3ab5ab0bc109fa76dc4ed65">DSDPTruth</a> *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Factor the matrix. <a href="#a9c3ab55e6791129ced2ffb70a9483874"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a89de5c333248b6324602ddad20539696">DSDPDualMatCholeskyForwardMultiply</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Multiply by triangular matrix. <a href="#a89de5c333248b6324602ddad20539696"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#aa3c38f98b494c0e8a004ff8ccb4e34fa">DSDPDualMatCholeskySolveBackward</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Backward triangular solve. <a href="#aa3c38f98b494c0e8a004ff8ccb4e34fa"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#ae20ab247149d001be237556ad766f378">DSDPDualMatCholeskySolveForward</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Forward triangular solve. <a href="#ae20ab247149d001be237556ad766f378"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a48199418f9c983365b8a9020ce0ed61f">DSDPDualMatDestroy</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Free the matrix structure. <a href="#a48199418f9c983365b8a9020ce0ed61f"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#ac42f59ba57fe5fed253c1ff7114deec1">DSDPDualMatGetSize</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, int *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Free the matrix structure. <a href="#ac42f59ba57fe5fed253c1ff7114deec1"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a4328f3aefa00cba6eeeeff4a8cc3060b">DSDPDualMatInitialize</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set pointers to null. <a href="#a4328f3aefa00cba6eeeeff4a8cc3060b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#ae6fbd8170d318528e66da5b6539c741f">DSDPDualMatInverseAdd</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, double, <a class="el" href="structDSDPVMat__C.html">DSDPVMat</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Add a multiple of the inverse to T. <a href="#ae6fbd8170d318528e66da5b6539c741f"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a78d0f738ea97f707d4a6d331088350a7">DSDPDualMatInverseMultiply</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, DSDPIndex, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>, <a class="el" href="structSDPConeVec__C.html">SDPConeVec</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Multiply the inverse by a vector or solve the system of equations. <a href="#a78d0f738ea97f707d4a6d331088350a7"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#ad03eafe8cd47c9c434aa457d07bdfa62">DSDPDualMatInvert</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Invert the matrix. <a href="#ad03eafe8cd47c9c434aa457d07bdfa62"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#ae3e46593440342ef785b727cc657315a">DSDPDualMatIsFull</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="dsdpbasictypes_8h.html#ae667f2bff3ab5ab0bc109fa76dc4ed65">DSDPTruth</a> *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Factor the matrix. <a href="#ae3e46593440342ef785b727cc657315a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#af7bcdb0e3d33c6e22ff64348393011aa">DSDPDualMatLogDeterminant</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, double *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Free the matrix structure. <a href="#af7bcdb0e3d33c6e22ff64348393011aa"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a428752e66255f0112be45d61633bd504">DSDPDualMatSetArray</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>, <a class="el" href="structDSDPVMat__C.html">DSDPVMat</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Print the matrix. <a href="#a428752e66255f0112be45d61633bd504"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#a569ea5d9f48a16a6daafcbb739e18efc">DSDPDualMatSetData</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> *, struct <a class="el" href="structDSDPDualMat__Ops.html">DSDPDualMat_Ops</a> *, void *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set the opaque pointer and function pointers to the matrix. <a href="#a569ea5d9f48a16a6daafcbb739e18efc"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="dsdpdualmat_8h.html#afaf5477f1458bcf4e99002ba9f7fecde">DSDPDualMatView</a> (<a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a>)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Print the matrix. <a href="#afaf5477f1458bcf4e99002ba9f7fecde"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>The interface between the SDPCone and the matrix S. </p>
<p>Definition in file <a class="el" href="dsdpdualmat_8h_source.html">dsdpdualmat.h</a>.</p>
</div><hr/><h2>Typedef Documentation</h2>
<a class="anchor" id="a5fa45437881b3d9fc4178c826fa79a7a"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMat" ref="a5fa45437881b3d9fc4178c826fa79a7a" args="" -->
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<td class="memname">struct <a class="el" href="structDSDPDualMat__C.html">DSDPDualMat_C</a> <a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a></td>
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<div class="memdoc">
<p>Represents an S matrix for one block in the semidefinite cone. </p>
<p>Definition at line <a class="el" href="dsdpdualmat_8h_source.html#l00027">27</a> of file <a class="el" href="dsdpdualmat_8h_source.html">dsdpdualmat.h</a>.</p>
</div>
</div>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="a6c0bda5dd0bb79c3dd4ae1846bb091ed"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatCholeskyBackwardMultiply" ref="a6c0bda5dd0bb79c3dd4ae1846bb091ed" args="(DSDPDualMat, SDPConeVec, SDPConeVec)" -->
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<td class="memname">int DSDPDualMatCholeskyBackwardMultiply </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>B</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>X</em> </td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<div class="memdoc">
<p>Multiply by triangular matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">B</td><td>in vector </td></tr>
<tr><td class="paramname">X</td><td>product Assumes Cholesky factorization successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00373">373</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00251">SDPConeXVMultiply()</a>.</p>
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<a class="anchor" id="a9c3ab55e6791129ced2ffb70a9483874"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatCholeskyFactor" ref="a9c3ab55e6791129ced2ffb70a9483874" args="(DSDPDualMat, DSDPTruth *)" -->
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<td class="memname">int DSDPDualMatCholeskyFactor </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="dsdpbasictypes_8h.html#ae667f2bff3ab5ab0bc109fa76dc4ed65">DSDPTruth</a> * </td>
<td class="paramname"><em>psdefinite</em> </td>
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<td></td>
<td>)</td>
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<p>Factor the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">psdefinite</td><td>true if S is positive definite and factorization successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00320">320</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00140">SDPConeComputeX3()</a>, and <a class="el" href="sdpcone_8c_source.html#l00325">SDPConeComputeXV()</a>.</p>
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<a class="anchor" id="a89de5c333248b6324602ddad20539696"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatCholeskyForwardMultiply" ref="a89de5c333248b6324602ddad20539696" args="(DSDPDualMat, SDPConeVec, SDPConeVec)" -->
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<td class="memname">int DSDPDualMatCholeskyForwardMultiply </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>B</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>X</em> </td>
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<td></td>
<td>)</td>
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<p>Multiply by triangular matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">B</td><td>in vector </td></tr>
<tr><td class="paramname">X</td><td>product Assumes Cholesky factorization successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00346">346</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00251">SDPConeXVMultiply()</a>.</p>
</div>
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<a class="anchor" id="aa3c38f98b494c0e8a004ff8ccb4e34fa"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatCholeskySolveBackward" ref="aa3c38f98b494c0e8a004ff8ccb4e34fa" args="(DSDPDualMat, SDPConeVec, SDPConeVec)" -->
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<td class="memname">int DSDPDualMatCholeskySolveBackward </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>B</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>X</em> </td>
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<td></td>
<td>)</td>
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<p>Backward triangular solve. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">B</td><td>Right-hand side of triangular system </td></tr>
<tr><td class="paramname">X</td><td>Solution to triangular system. Assumes Cholesky factorization successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00295">295</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00251">SDPConeXVMultiply()</a>.</p>
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<a class="anchor" id="ae20ab247149d001be237556ad766f378"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatCholeskySolveForward" ref="ae20ab247149d001be237556ad766f378" args="(DSDPDualMat, SDPConeVec, SDPConeVec)" -->
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<td class="memname">int DSDPDualMatCholeskySolveForward </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>B</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>X</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Forward triangular solve. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">B</td><td>Right-hand side of triangular system </td></tr>
<tr><td class="paramname">X</td><td>Solution to triangular system. Assumes Cholesky factorization successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00267">267</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00251">SDPConeXVMultiply()</a>.</p>
</div>
</div>
<a class="anchor" id="a48199418f9c983365b8a9020ce0ed61f"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatDestroy" ref="a48199418f9c983365b8a9020ce0ed61f" args="(DSDPDualMat *)" -->
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<td class="memname">int DSDPDualMatDestroy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> * </td>
<td class="paramname"><em>S</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Free the matrix structure. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00065">65</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpconesetup_8c_source.html#l00305">DSDPBlockTakeDown()</a>.</p>
</div>
</div>
<a class="anchor" id="ac42f59ba57fe5fed253c1ff7114deec1"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatGetSize" ref="ac42f59ba57fe5fed253c1ff7114deec1" args="(DSDPDualMat, int *)" -->
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<div class="memproto">
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<td class="memname">int DSDPDualMatGetSize </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"><em>n</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Free the matrix structure. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">n</td><td>dimension </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00087">87</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
</div>
</div>
<a class="anchor" id="a4328f3aefa00cba6eeeeff4a8cc3060b"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatInitialize" ref="a4328f3aefa00cba6eeeeff4a8cc3060b" args="(DSDPDualMat *)" -->
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<td class="memname">int DSDPDualMatInitialize </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> * </td>
<td class="paramname"><em>S</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Set pointers to null. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00471">471</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpconesetup_8c_source.html#l00279">DSDPBlockInitialize()</a>.</p>
</div>
</div>
<a class="anchor" id="ae6fbd8170d318528e66da5b6539c741f"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatInverseAdd" ref="ae6fbd8170d318528e66da5b6539c741f" args="(DSDPDualMat, double, DSDPVMat)" -->
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<td class="memname">int DSDPDualMatInverseAdd </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>alpha</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structDSDPVMat__C.html">DSDPVMat</a> </td>
<td class="paramname"><em>T</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Add a multiple of the inverse to T. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">alpha</td><td>scalar </td></tr>
<tr><td class="paramname">T</td><td>destination. Assumes matrix already inverted. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00209">209</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcompute_8c_source.html#l00125">SDPConeComputeRHS()</a>, and <a class="el" href="sdpcompute_8c_source.html#l00235">SDPConeComputeXX()</a>.</p>
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</div>
<a class="anchor" id="a78d0f738ea97f707d4a6d331088350a7"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatInverseMultiply" ref="a78d0f738ea97f707d4a6d331088350a7" args="(DSDPDualMat, DSDPIndex, SDPConeVec, SDPConeVec)" -->
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<td class="memname">int DSDPDualMatInverseMultiply </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">DSDPIndex </td>
<td class="paramname"><em>IS</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>B</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSDPConeVec__C.html">SDPConeVec</a> </td>
<td class="paramname"><em>X</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Multiply the inverse by a vector or solve the system of equations. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">IS</td><td>Sparsity pattern of B </td></tr>
<tr><td class="paramname">B</td><td>Right-hand side of linear system </td></tr>
<tr><td class="paramname">X</td><td>product, or solution to linear system. Assumes matrix already inverted. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00236">236</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcompute_8c_source.html#l00030">SDPConeComputeHessian()</a>, <a class="el" href="sdpcompute_8c_source.html#l00125">SDPConeComputeRHS()</a>, <a class="el" href="sdpcompute_8c_source.html#l00235">SDPConeComputeXX()</a>, and <a class="el" href="sdpcompute_8c_source.html#l00182">SDPConeMultiply()</a>.</p>
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</div>
<a class="anchor" id="ad03eafe8cd47c9c434aa457d07bdfa62"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatInvert" ref="ad03eafe8cd47c9c434aa457d07bdfa62" args="(DSDPDualMat)" -->
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<td class="memname">int DSDPDualMatInvert </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Invert the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix Assumes Cholesky factorization was successful. This routine may not actually invert the matrix. It give the matrix the opportunity to invert it. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00186">186</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00140">SDPConeComputeX3()</a>.</p>
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</div>
<a class="anchor" id="ae3e46593440342ef785b727cc657315a"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatIsFull" ref="ae3e46593440342ef785b727cc657315a" args="(DSDPDualMat, DSDPTruth *)" -->
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<td class="memname">int DSDPDualMatIsFull </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="dsdpbasictypes_8h.html#ae667f2bff3ab5ab0bc109fa76dc4ed65">DSDPTruth</a> * </td>
<td class="paramname"><em>full</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Factor the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">full</td><td>true if S is a dense structure. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00397">397</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00140">SDPConeComputeX3()</a>.</p>
</div>
</div>
<a class="anchor" id="af7bcdb0e3d33c6e22ff64348393011aa"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatLogDeterminant" ref="af7bcdb0e3d33c6e22ff64348393011aa" args="(DSDPDualMat, double *)" -->
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<td class="memname">int DSDPDualMatLogDeterminant </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"><em>logdet</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Free the matrix structure. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">logdet</td><td>logarithm of the determinant Assumes Cholesky factorization was successful. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00122">122</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
</div>
</div>
<a class="anchor" id="a428752e66255f0112be45d61633bd504"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatSetArray" ref="a428752e66255f0112be45d61633bd504" args="(DSDPDualMat, DSDPVMat)" -->
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<td class="memname">int DSDPDualMatSetArray </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structDSDPVMat__C.html">DSDPVMat</a> </td>
<td class="paramname"><em>T</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Print the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">T</td><td>Dense array matrix. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00160">160</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="sdpcone_8c_source.html#l00140">SDPConeComputeX3()</a>, and <a class="el" href="sdpcone_8c_source.html#l00325">SDPConeComputeXV()</a>.</p>
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</div>
<a class="anchor" id="a569ea5d9f48a16a6daafcbb739e18efc"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatSetData" ref="a569ea5d9f48a16a6daafcbb739e18efc" args="(DSDPDualMat *, struct DSDPDualMat_Ops *, void *)" -->
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<td class="memname">int DSDPDualMatSetData </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">struct <a class="el" href="structDSDPDualMat__Ops.html">DSDPDualMat_Ops</a> * </td>
<td class="paramname"><em>ops</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">void * </td>
<td class="paramname"><em>data</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Set the opaque pointer and function pointers to the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
<tr><td class="paramname">ops</td><td>pointer to a structure of function pointers </td></tr>
<tr><td class="paramname">data</td><td>pointer to a matrix structure </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00049">49</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
<p>Referenced by <a class="el" href="dsdpdualmat_8c_source.html#l00065">DSDPDualMatDestroy()</a>, and <a class="el" href="dsdpdualmat_8c_source.html#l00471">DSDPDualMatInitialize()</a>.</p>
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</div>
<a class="anchor" id="afaf5477f1458bcf4e99002ba9f7fecde"></a><!-- doxytag: member="dsdpdualmat.h::DSDPDualMatView" ref="afaf5477f1458bcf4e99002ba9f7fecde" args="(DSDPDualMat)" -->
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<td class="memname">int DSDPDualMatView </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structDSDPDualMat__C.html">DSDPDualMat</a> </td>
<td class="paramname"><em>S</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Print the matrix. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>dual matrix </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="dsdpdualmat_8c_source.html#l00140">140</a> of file <a class="el" href="dsdpdualmat_8c_source.html">dsdpdualmat.c</a>.</p>
</div>
</div>
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