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<html>
<head> <link rel="canonical" href="https://slepc.upv.es/documentation/current/docs/manualpages/PEP/index.html" />
<link rel="stylesheet" href="/slepc.css" type="text/css">
<title>Polynomial Eigenvalue Problem Solvers - PEP</title>
</head>
<body class="manpageindex">
<div id="version" align=right><b>slepc-3.22.2 2024-12-02</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-3.22.2 v3.22.2 docs/manualpages/PEP/index.html "><small>Report Typos and Errors</small></a></div>
<h2>Polynomial Eigenvalue Problem Solvers - PEP: <a href="../../../src/pep/tutorials/index.html">Examples</a> <a href="../../../src/pep/tutorials/nlevp/index.html">NLEVP</a></h2>
<p>
The Polynomial Eigenvalue Problem (PEP) solver is the object provided by SLEPc for specifying a polynomial eigenvalue problem. Apart from the specific solvers for this type of problems, there is an EPS-based solver, i.e., it uses a solver from EPS to solve a generalized eigenproblem obtained after linearization.
</p>
<p>
As in the other solver objects, users can set various options at runtime via the options database (e.g., <code>-pep_nev 4 -pep_type linear</code>).
Options can also be set directly in application codes by calling the corresponding routines (e.g., <a href="PEPSetDimensions.html">PEPSetDimensions</a>() / <a href="PEPSetType.html">PEPSetType</a>()).
</p>
<P>
<TABLE>
<TR><TD WIDTH=250 COLSPAN="3"><B>Beginner - Basic usage</B></TD></TR>
<TD WIDTH=250><A HREF="./PEP.html">PEP</A></TD>
<TD WIDTH=250><A HREF="./PEPGetConverged.html">PEPGetConverged</A></TD>
<TD WIDTH=250><A HREF="./PEPSolve.html">PEPSolve</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPComputeError.html">PEPComputeError</A></TD>
<TD WIDTH=250><A HREF="./PEPGetEigenpair.html">PEPGetEigenpair</A></TD>
<TD WIDTH=250><A HREF="./PEPType.html">PEPType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCreate.html">PEPCreate</A></TD>
<TD WIDTH=250><A HREF="./PEPSetFromOptions.html">PEPSetFromOptions</A></TD>
<TD WIDTH=250><A HREF="./PEPView.html">PEPView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPDestroy.html">PEPDestroy</A></TD>
<TD WIDTH=250><A HREF="./PEPSetOperators.html">PEPSetOperators</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="./PEPBasis.html">PEPBasis</A></TD>
<TD WIDTH=250><A HREF="./PEPGetScale.html">PEPGetScale</A></TD>
<TD WIDTH=250><A HREF="./PEPScale.html">PEPScale</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPConv.html">PEPConv</A></TD>
<TD WIDTH=250><A HREF="./PEPGetTarget.html">PEPGetTarget</A></TD>
<TD WIDTH=250><A HREF="./PEPSetBasis.html">PEPSetBasis</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPConvergedReason.html">PEPConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./PEPGetTolerances.html">PEPGetTolerances</A></TD>
<TD WIDTH=250><A HREF="./PEPSetConvergenceTest.html">PEPSetConvergenceTest</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPConvergedReasonView.html">PEPConvergedReasonView</A></TD>
<TD WIDTH=250><A HREF="./PEPGetType.html">PEPGetType</A></TD>
<TD WIDTH=250><A HREF="./PEPSetDimensions.html">PEPSetDimensions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPErrorType.html">PEPErrorType</A></TD>
<TD WIDTH=250><A HREF="./PEPGetWhichEigenpairs.html">PEPGetWhichEigenpairs</A></TD>
<TD WIDTH=250><A HREF="./PEPSetExtract.html">PEPSetExtract</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPErrorView.html">PEPErrorView</A></TD>
<TD WIDTH=250><A HREF="./PEPJDProjection.html">PEPJDProjection</A></TD>
<TD WIDTH=250><A HREF="./PEPSetInitialSpace.html">PEPSetInitialSpace</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPExtract.html">PEPExtract</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorAll.html">PEPMonitorAll</A></TD>
<TD WIDTH=250><A HREF="./PEPSetInterval.html">PEPSetInterval</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetBasis.html">PEPGetBasis</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorAllDrawLG.html">PEPMonitorAllDrawLG</A></TD>
<TD WIDTH=250><A HREF="./PEPSetProblemType.html">PEPSetProblemType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetConvergedReason.html">PEPGetConvergedReason</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorAllDrawLGCreate.html">PEPMonitorAllDrawLGCreate</A></TD>
<TD WIDTH=250><A HREF="./PEPSetRefine.html">PEPSetRefine</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetConvergenceTest.html">PEPGetConvergenceTest</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorCancel.html">PEPMonitorCancel</A></TD>
<TD WIDTH=250><A HREF="./PEPSetScale.html">PEPSetScale</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetDimensions.html">PEPGetDimensions</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorConverged.html">PEPMonitorConverged</A></TD>
<TD WIDTH=250><A HREF="./PEPSetTarget.html">PEPSetTarget</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetExtract.html">PEPGetExtract</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorConvergedDrawLG.html">PEPMonitorConvergedDrawLG</A></TD>
<TD WIDTH=250><A HREF="./PEPSetTolerances.html">PEPSetTolerances</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetInterval.html">PEPGetInterval</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorConvergedDrawLGCreate.html">PEPMonitorConvergedDrawLGCreate</A></TD>
<TD WIDTH=250><A HREF="./PEPSetType.html">PEPSetType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetIterationNumber.html">PEPGetIterationNumber</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorFirst.html">PEPMonitorFirst</A></TD>
<TD WIDTH=250><A HREF="./PEPSetWhichEigenpairs.html">PEPSetWhichEigenpairs</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetMonitorContext.html">PEPGetMonitorContext</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorFirstDrawLG.html">PEPMonitorFirstDrawLG</A></TD>
<TD WIDTH=250><A HREF="./PEPValuesView.html">PEPValuesView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetNumMatrices.html">PEPGetNumMatrices</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorFirstDrawLGCreate.html">PEPMonitorFirstDrawLGCreate</A></TD>
<TD WIDTH=250><A HREF="./PEPVectorsView.html">PEPVectorsView</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetOperators.html">PEPGetOperators</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorSet.html">PEPMonitorSet</A></TD>
<TD WIDTH=250><A HREF="./PEPViewFromOptions.html">PEPViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetProblemType.html">PEPGetProblemType</A></TD>
<TD WIDTH=250><A HREF="./PEPProblemType.html">PEPProblemType</A></TD>
<TD WIDTH=250><A HREF="./PEPWhich.html">PEPWhich</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetRefine.html">PEPGetRefine</A></TD>
<TD WIDTH=250><A HREF="./PEPRefine.html">PEPRefine</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetST.html">PEPGetST</A></TD>
<TD WIDTH=250><A HREF="./PEPRefineScheme.html">PEPRefineScheme</A></TD>
<TD WIDTH=250><A HREF="./"></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="./PEPAppendOptionsPrefix.html">PEPAppendOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./PEPJDSetFix.html">PEPJDSetFix</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetInertias.html">PEPSTOARGetInertias</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSExtraction.html">PEPCISSExtraction</A></TD>
<TD WIDTH=250><A HREF="./PEPJDSetMinimalityIndex.html">PEPJDSetMinimalityIndex</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetLinearization.html">PEPSTOARGetLinearization</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSGetExtraction.html">PEPCISSGetExtraction</A></TD>
<TD WIDTH=250><A HREF="./PEPJDSetProjection.html">PEPJDSetProjection</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetLocking.html">PEPSTOARGetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSGetKSPs.html">PEPCISSGetKSPs</A></TD>
<TD WIDTH=250><A HREF="./PEPJDSetRestart.html">PEPJDSetRestart</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARSetCheckEigenvalueType.html">PEPSTOARSetCheckEigenvalueType</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSGetRefinement.html">PEPCISSGetRefinement</A></TD>
<TD WIDTH=250><A HREF="./PEPJDSetReusePreconditioner.html">PEPJDSetReusePreconditioner</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARSetDetectZeros.html">PEPSTOARSetDetectZeros</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSGetSizes.html">PEPCISSGetSizes</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearGetEPS.html">PEPLinearGetEPS</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARSetDimensions.html">PEPSTOARSetDimensions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSGetThreshold.html">PEPCISSGetThreshold</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearGetExplicitMatrix.html">PEPLinearGetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARSetLinearization.html">PEPSTOARSetLinearization</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSSetExtraction.html">PEPCISSSetExtraction</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearGetLinearization.html">PEPLinearGetLinearization</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARSetLocking.html">PEPSTOARSetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSSetRefinement.html">PEPCISSSetRefinement</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearSetEPS.html">PEPLinearSetEPS</A></TD>
<TD WIDTH=250><A HREF="./PEPSetBV.html">PEPSetBV</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSSetSizes.html">PEPCISSSetSizes</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearSetExplicitMatrix.html">PEPLinearSetExplicitMatrix</A></TD>
<TD WIDTH=250><A HREF="./PEPSetConvergenceTestFunction.html">PEPSetConvergenceTestFunction</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCISSSetThreshold.html">PEPCISSSetThreshold</A></TD>
<TD WIDTH=250><A HREF="./PEPLinearSetLinearization.html">PEPLinearSetLinearization</A></TD>
<TD WIDTH=250><A HREF="./PEPSetDS.html">PEPSetDS</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPCheckDefiniteQEP.html">PEPCheckDefiniteQEP</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorRegister.html">PEPMonitorRegister</A></TD>
<TD WIDTH=250><A HREF="./PEPSetEigenvalueComparison.html">PEPSetEigenvalueComparison</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPConvergenceTestFn.html">PEPConvergenceTestFn</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorRegisterAll.html">PEPMonitorRegisterAll</A></TD>
<TD WIDTH=250><A HREF="./PEPSetOptionsPrefix.html">PEPSetOptionsPrefix</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetBV.html">PEPGetBV</A></TD>
<TD WIDTH=250><A HREF="./PEPQArnoldiGetLocking.html">PEPQArnoldiGetLocking</A></TD>
<TD WIDTH=250><A HREF="./PEPSetRG.html">PEPSetRG</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetDS.html">PEPGetDS</A></TD>
<TD WIDTH=250><A HREF="./PEPQArnoldiGetRestart.html">PEPQArnoldiGetRestart</A></TD>
<TD WIDTH=250><A HREF="./PEPSetST.html">PEPSetST</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetErrorEstimate.html">PEPGetErrorEstimate</A></TD>
<TD WIDTH=250><A HREF="./PEPQArnoldiSetLocking.html">PEPQArnoldiSetLocking</A></TD>
<TD WIDTH=250><A HREF="./PEPSetStoppingTest.html">PEPSetStoppingTest</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetOptionsPrefix.html">PEPGetOptionsPrefix</A></TD>
<TD WIDTH=250><A HREF="./PEPQArnoldiSetRestart.html">PEPQArnoldiSetRestart</A></TD>
<TD WIDTH=250><A HREF="./PEPSetStoppingTestFunction.html">PEPSetStoppingTestFunction</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetRG.html">PEPGetRG</A></TD>
<TD WIDTH=250><A HREF="./PEPRefineGetKSP.html">PEPRefineGetKSP</A></TD>
<TD WIDTH=250><A HREF="./PEPStop.html">PEPStop</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetStoppingTest.html">PEPGetStoppingTest</A></TD>
<TD WIDTH=250><A HREF="./PEPRegister.html">PEPRegister</A></TD>
<TD WIDTH=250><A HREF="./PEPStoppingBasic.html">PEPStoppingBasic</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPJDGetFix.html">PEPJDGetFix</A></TD>
<TD WIDTH=250><A HREF="./PEPRegisterAll.html">PEPRegisterAll</A></TD>
<TD WIDTH=250><A HREF="./PEPStoppingTestFn.html">PEPStoppingTestFn</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPJDGetMinimalityIndex.html">PEPJDGetMinimalityIndex</A></TD>
<TD WIDTH=250><A HREF="./PEPReset.html">PEPReset</A></TD>
<TD WIDTH=250><A HREF="./PEPTOARGetLocking.html">PEPTOARGetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPJDGetProjection.html">PEPJDGetProjection</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetCheckEigenvalueType.html">PEPSTOARGetCheckEigenvalueType</A></TD>
<TD WIDTH=250><A HREF="./PEPTOARGetRestart.html">PEPTOARGetRestart</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPJDGetRestart.html">PEPJDGetRestart</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetDetectZeros.html">PEPSTOARGetDetectZeros</A></TD>
<TD WIDTH=250><A HREF="./PEPTOARSetLocking.html">PEPTOARSetLocking</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPJDGetReusePreconditioner.html">PEPJDGetReusePreconditioner</A></TD>
<TD WIDTH=250><A HREF="./PEPSTOARGetDimensions.html">PEPSTOARGetDimensions</A></TD>
<TD WIDTH=250><A HREF="./PEPTOARSetRestart.html">PEPTOARSetRestart</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="./PEPAllocateSolution.html">PEPAllocateSolution</A></TD>
<TD WIDTH=250><A HREF="./PEPInitializePackage.html">PEPInitializePackage</A></TD>
<TD WIDTH=250><A HREF="./PEPSetWorkVecs.html">PEPSetWorkVecs</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPConvergedReasonViewFromOptions.html">PEPConvergedReasonViewFromOptions</A></TD>
<TD WIDTH=250><A HREF="./PEPMonitorSetFromOptions.html">PEPMonitorSetFromOptions</A></TD>
<TD WIDTH=250><A HREF="./PEPValuesViewFromOptions.html">PEPValuesViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPErrorViewFromOptions.html">PEPErrorViewFromOptions</A></TD>
<TD WIDTH=250><A HREF="./PEPSetDSType.html">PEPSetDSType</A></TD>
<TD WIDTH=250><A HREF="./PEPVectorsViewFromOptions.html">PEPVectorsViewFromOptions</A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPFinalizePackage.html">PEPFinalizePackage</A></TD>
<TD WIDTH=250><A HREF="./PEPSetTrackAll.html">PEPSetTrackAll</A></TD>
<TD WIDTH=250><A HREF="./"></A></TD>
<TR>
<TD WIDTH=250><A HREF="./PEPGetTrackAll.html">PEPGetTrackAll</A></TD>
<TD WIDTH=250><A HREF="./PEPSetUp.html">PEPSetUp</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>
|
