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<html>
<head> <link rel="canonical" href="https://slepc.upv.es/documentation/current//Users/jroman/tmp/slepc-3.23.1/docs/manualpages/LME/index.html" />
<link rel="stylesheet" href="/slepc.css" type="text/css">
<title>Linear Matrix Equation - LME</title>
</head>
<body class="manpageindex">
<div id="version" align=right><b>slepc-3.23.1 2025-05-01</b></div>
<div id="bugreport" align=right><a href="mailto:slepc-maint@upv.es?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: slepc-3.23.1 v3.23.1 /Users/jroman/tmp/slepc-3.23.1/docs/manualpages/LME/index.html "><small>Report Typos and Errors</small></a></div>
<h2>Linear Matrix Equation - LME: <a href="../../../src/lme/tutorials/index.html">Examples</a></h2>
<p>
Linear Matrix Equation (LME) is the object provided by SLEPc for solving linear matrix equations such as Lyapunov or Sylvester where the solution has low rank.
</p>
<P>
<TABLE>
<TR><TD WIDTH=250 COLSPAN="3"><B>Beginner - Basic usage</B></TD></TR>
<TD WIDTH=250><A HREF="./LME.html">LME</A></TD>
<TD WIDTH=250><A HREF="./LMESetCoefficients.html">LMESetCoefficients</A></TD>
<TD WIDTH=250><A HREF="./LMESolve.html">LMESolve</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMECreate.html">LMECreate</A></TD>
<TD WIDTH=250><A HREF="./LMESetFromOptions.html">LMESetFromOptions</A></TD>
<TD WIDTH=250><A HREF="./LMEType.html">LMEType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEDestroy.html">LMEDestroy</A></TD>
<TD WIDTH=250><A HREF="./LMESetProblemType.html">LMESetProblemType</A></TD>
<TD WIDTH=250><A HREF="./LMEView.html">LMEView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEProblemType.html">LMEProblemType</A></TD>
<TD WIDTH=250><A HREF="./LMESetRHS.html">LMESetRHS</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Intermediate - Setting options for algorithms and data structures</B></TD></TR>
<TD WIDTH=250><A HREF="./LMEConvergedReason.html">LMEConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./LMEGetProblemType.html">LMEGetProblemType</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorDefaultDrawLGCreate.html">LMEMonitorDefaultDrawLGCreate</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEConvergedReasonView.html">LMEConvergedReasonView</A></TD>
<TD WIDTH=250><A HREF="./LMEGetRHS.html">LMEGetRHS</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorSet.html">LMEMonitorSet</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetCoefficients.html">LMEGetCoefficients</A></TD>
<TD WIDTH=250><A HREF="./LMEGetSolution.html">LMEGetSolution</A></TD>
<TD WIDTH=250><A HREF="./LMESetDimensions.html">LMESetDimensions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetConvergedReason.html">LMEGetConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./LMEGetTolerances.html">LMEGetTolerances</A></TD>
<TD WIDTH=250><A HREF="./LMESetErrorIfNotConverged.html">LMESetErrorIfNotConverged</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetDimensions.html">LMEGetDimensions</A></TD>
<TD WIDTH=250><A HREF="./LMEGetType.html">LMEGetType</A></TD>
<TD WIDTH=250><A HREF="./LMESetSolution.html">LMESetSolution</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetErrorIfNotConverged.html">LMEGetErrorIfNotConverged</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorCancel.html">LMEMonitorCancel</A></TD>
<TD WIDTH=250><A HREF="./LMESetTolerances.html">LMESetTolerances</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetIterationNumber.html">LMEGetIterationNumber</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorDefault.html">LMEMonitorDefault</A></TD>
<TD WIDTH=250><A HREF="./LMESetType.html">LMESetType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetMonitorContext.html">LMEGetMonitorContext</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorDefaultDrawLG.html">LMEMonitorDefaultDrawLG</A></TD>
<TD WIDTH=250><A HREF="./LMEViewFromOptions.html">LMEViewFromOptions</A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Advanced - Setting more advanced options and customization</B></TD></TR>
<TD WIDTH=250><A HREF="./LMEAppendOptionsPrefix.html">LMEAppendOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./LMEGetOptionsPrefix.html">LMEGetOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./LMERegisterAll.html">LMERegisterAll</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEComputeError.html">LMEComputeError</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorRegister.html">LMEMonitorRegister</A></TD>
<TD WIDTH=250><A HREF="./LMEReset.html">LMEReset</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetBV.html">LMEGetBV</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorRegisterAll.html">LMEMonitorRegisterAll</A></TD>
<TD WIDTH=250><A HREF="./LMESetBV.html">LMESetBV</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEGetErrorEstimate.html">LMEGetErrorEstimate</A></TD>
<TD WIDTH=250><A HREF="./LMERegister.html">LMERegister</A></TD>
<TD WIDTH=250><A HREF="./LMESetOptionsPrefix.html">LMESetOptionsPrefix</A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>Developer - Interfaces intended primarily for library developers, not for typical applications programmers</B></TD></TR>
<TD WIDTH=250><A HREF="./LMEAllocateSolution.html">LMEAllocateSolution</A></TD>
<TD WIDTH=250><A HREF="./LMEDenseLyapunov.html">LMEDenseLyapunov</A></TD>
<TD WIDTH=250><A HREF="./LMEMonitorSetFromOptions.html">LMEMonitorSetFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEConvergedReasonViewFromOptions.html">LMEConvergedReasonViewFromOptions</A></TD>
<TD WIDTH=250><A HREF="./LMEFinalizePackage.html">LMEFinalizePackage</A></TD>
<TD WIDTH=250><A HREF="./LMESetUp.html">LMESetUp</A></TD>
<TR>
<TD WIDTH=250><A HREF="./LMEDenseHessLyapunovChol.html">LMEDenseHessLyapunovChol</A></TD>
<TD WIDTH=250><A HREF="./LMEInitializePackage.html">LMEInitializePackage</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TR><TD WIDTH=250 COLSPAN="3"><B>No deprecated routines</B></TD></TR>
</TABLE>
<BR><A HREF="../../../docs/manual.html">Table of Contents</A>
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