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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/NEP/index.html" />
  <link rel="stylesheet" href="/slepc.css" type="text/css">
  <title>Nonlinear Eigenvalue Problem Solvers - NEP</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/NEP/index.html "><small>Report Typos and Errors</small></a></div>

<h2>Nonlinear Eigenvalue Problem Solvers - NEP: <a href="../../../src/nep/tutorials/index.html">Examples</a> <a href="../../../src/nep/tutorials/nlevp/index.html">NLEVP</a></h2>

<p>
The Nonlinear Eigenvalue Problem (NEP) solver is the object provided by SLEPc for specifying an eigenvalue problem that is nonlinear with respect to the eigenvalue (not the eigenvector). This is intended for general nonlinear problems (rather than polynomial eigenproblems) described as <i>T(&lambda;)x=0</i>.
</p>
<p>
As in the other solver objects, users can set various options at runtime via the options database (e.g., <code>-nep_nev 4 -nep_type narnoldi</code>).
Options can also be set directly in application codes by calling the corresponding routines (e.g., <a href="NEPSetDimensions.html">NEPSetDimensions</a>() / <a href="NEPSetType.html">NEPSetType</a>()).
</p>


<P>
<TABLE>
<TR><TD WIDTH=250 COLSPAN="3"><B>Beginner - Basic usage</B></TD></TR>
 <TD WIDTH=250><A HREF="./NEP.html">NEP</A></TD>
 <TD WIDTH=250><A HREF="./NEPGetConverged.html">NEPGetConverged</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetJacobian.html">NEPSetJacobian</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPComputeError.html">NEPComputeError</A></TD>
 <TD WIDTH=250><A HREF="./NEPGetEigenpair.html">NEPGetEigenpair</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetSplitOperator.html">NEPSetSplitOperator</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCreate.html">NEPCreate</A></TD>
 <TD WIDTH=250><A HREF="./NEPJacobianFn.html">NEPJacobianFn</A></TD>
 <TD WIDTH=250><A HREF="./NEPSolve.html">NEPSolve</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPDestroy.html">NEPDestroy</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetFromOptions.html">NEPSetFromOptions</A></TD>
 <TD WIDTH=250><A HREF="./NEPType.html">NEPType</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPFunctionFn.html">NEPFunctionFn</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetFunction.html">NEPSetFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPView.html">NEPView</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="./NEPApplyResolvent.html">NEPApplyResolvent</A></TD>
 <TD WIDTH=250><A HREF="./NEPGetWhichEigenpairs.html">NEPGetWhichEigenpairs</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetConstCorrectionTol.html">NEPRIISetConstCorrectionTol</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPConv.html">NEPConv</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorAll.html">NEPMonitorAll</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetHermitian.html">NEPRIISetHermitian</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPConvergedReason.html">NEPConvergedReason</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorAllDrawLG.html">NEPMonitorAllDrawLG</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetLagPreconditioner.html">NEPRIISetLagPreconditioner</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPConvergedReasonView.html">NEPConvergedReasonView</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorAllDrawLGCreate.html">NEPMonitorAllDrawLGCreate</A></TD>
 <TD WIDTH=250><A HREF="./NEPRefine.html">NEPRefine</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPErrorType.html">NEPErrorType</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorCancel.html">NEPMonitorCancel</A></TD>
 <TD WIDTH=250><A HREF="./NEPRefineScheme.html">NEPRefineScheme</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPErrorView.html">NEPErrorView</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorConverged.html">NEPMonitorConverged</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetConvergenceTest.html">NEPSetConvergenceTest</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetConvergedReason.html">NEPGetConvergedReason</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorConvergedDrawLG.html">NEPMonitorConvergedDrawLG</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetDimensions.html">NEPSetDimensions</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetConvergenceTest.html">NEPGetConvergenceTest</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorConvergedDrawLGCreate.html">NEPMonitorConvergedDrawLGCreate</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetInitialSpace.html">NEPSetInitialSpace</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetDimensions.html">NEPGetDimensions</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorFirst.html">NEPMonitorFirst</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetProblemType.html">NEPSetProblemType</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetIterationNumber.html">NEPGetIterationNumber</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorFirstDrawLG.html">NEPMonitorFirstDrawLG</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetRefine.html">NEPSetRefine</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetLeftEigenvector.html">NEPGetLeftEigenvector</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorFirstDrawLGCreate.html">NEPMonitorFirstDrawLGCreate</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetTarget.html">NEPSetTarget</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetMonitorContext.html">NEPGetMonitorContext</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorSet.html">NEPMonitorSet</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetTolerances.html">NEPSetTolerances</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetProblemType.html">NEPGetProblemType</A></TD>
 <TD WIDTH=250><A HREF="./NEPNArnoldiGetLagPreconditioner.html">NEPNArnoldiGetLagPreconditioner</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetType.html">NEPSetType</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetRefine.html">NEPGetRefine</A></TD>
 <TD WIDTH=250><A HREF="./NEPNArnoldiSetLagPreconditioner.html">NEPNArnoldiSetLagPreconditioner</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetWhichEigenpairs.html">NEPSetWhichEigenpairs</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetSplitOperatorInfo.html">NEPGetSplitOperatorInfo</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetSingularitiesFunction.html">NEPNLEIGSSetSingularitiesFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPValuesView.html">NEPValuesView</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetSplitOperatorTerm.html">NEPGetSplitOperatorTerm</A></TD>
 <TD WIDTH=250><A HREF="./NEPProblemType.html">NEPProblemType</A></TD>
 <TD WIDTH=250><A HREF="./NEPVectorsView.html">NEPVectorsView</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetTarget.html">NEPGetTarget</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetConstCorrectionTol.html">NEPRIIGetConstCorrectionTol</A></TD>
 <TD WIDTH=250><A HREF="./NEPViewFromOptions.html">NEPViewFromOptions</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetTolerances.html">NEPGetTolerances</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetHermitian.html">NEPRIIGetHermitian</A></TD>
 <TD WIDTH=250><A HREF="./NEPWhich.html">NEPWhich</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetType.html">NEPGetType</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetLagPreconditioner.html">NEPRIIGetLagPreconditioner</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="./NEPAppendOptionsPrefix.html">NEPAppendOptionsPrefix</A></TD>
 <TD WIDTH=250><A HREF="./NEPInterpolSetPEP.html">NEPInterpolSetPEP</A></TD>
 <TD WIDTH=250><A HREF="./NEPRegister.html">NEPRegister</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSExtraction.html">NEPCISSExtraction</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorRegister.html">NEPMonitorRegister</A></TD>
 <TD WIDTH=250><A HREF="./NEPRegisterAll.html">NEPRegisterAll</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSGetExtraction.html">NEPCISSGetExtraction</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorRegisterAll.html">NEPMonitorRegisterAll</A></TD>
 <TD WIDTH=250><A HREF="./NEPReset.html">NEPReset</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSGetKSPs.html">NEPCISSGetKSPs</A></TD>
 <TD WIDTH=250><A HREF="./NEPNArnoldiGetKSP.html">NEPNArnoldiGetKSP</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPGetDeflationThreshold.html">NEPSLPGetDeflationThreshold</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSGetRefinement.html">NEPCISSGetRefinement</A></TD>
 <TD WIDTH=250><A HREF="./NEPNArnoldiSetKSP.html">NEPNArnoldiSetKSP</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPGetEPS.html">NEPSLPGetEPS</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSGetSizes.html">NEPCISSGetSizes</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetEPS.html">NEPNLEIGSGetEPS</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPGetEPSLeft.html">NEPSLPGetEPSLeft</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSGetThreshold.html">NEPCISSGetThreshold</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetFullBasis.html">NEPNLEIGSGetFullBasis</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPGetKSP.html">NEPSLPGetKSP</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSSetExtraction.html">NEPCISSSetExtraction</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetInterpolation.html">NEPNLEIGSGetInterpolation</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPSetDeflationThreshold.html">NEPSLPSetDeflationThreshold</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSSetRefinement.html">NEPCISSSetRefinement</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetKSPs.html">NEPNLEIGSGetKSPs</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPSetEPS.html">NEPSLPSetEPS</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSSetSizes.html">NEPCISSSetSizes</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetLocking.html">NEPNLEIGSGetLocking</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPSetEPSLeft.html">NEPSLPSetEPSLeft</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPCISSSetThreshold.html">NEPCISSSetThreshold</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetRKShifts.html">NEPNLEIGSGetRKShifts</A></TD>
 <TD WIDTH=250><A HREF="./NEPSLPSetKSP.html">NEPSLPSetKSP</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPConvergenceTestFn.html">NEPConvergenceTestFn</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetRestart.html">NEPNLEIGSGetRestart</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetBV.html">NEPSetBV</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetBV.html">NEPGetBV</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSGetSingularitiesFunction.html">NEPNLEIGSGetSingularitiesFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetConvergenceTestFunction.html">NEPSetConvergenceTestFunction</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetDS.html">NEPGetDS</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetEPS.html">NEPNLEIGSSetEPS</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetDS.html">NEPSetDS</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetErrorEstimate.html">NEPGetErrorEstimate</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetFullBasis.html">NEPNLEIGSSetFullBasis</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetEigenvalueComparison.html">NEPSetEigenvalueComparison</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetFunction.html">NEPGetFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetInterpolation.html">NEPNLEIGSSetInterpolation</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetOptionsPrefix.html">NEPSetOptionsPrefix</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetJacobian.html">NEPGetJacobian</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetLocking.html">NEPNLEIGSSetLocking</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetRG.html">NEPSetRG</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetOptionsPrefix.html">NEPGetOptionsPrefix</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetRKShifts.html">NEPNLEIGSSetRKShifts</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetSplitPreconditioner.html">NEPSetSplitPreconditioner</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetRG.html">NEPGetRG</A></TD>
 <TD WIDTH=250><A HREF="./NEPNLEIGSSetRestart.html">NEPNLEIGSSetRestart</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetStoppingTest.html">NEPSetStoppingTest</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetSplitPreconditionerInfo.html">NEPGetSplitPreconditionerInfo</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetDeflationThreshold.html">NEPRIIGetDeflationThreshold</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetStoppingTestFunction.html">NEPSetStoppingTestFunction</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetSplitPreconditionerTerm.html">NEPGetSplitPreconditionerTerm</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetKSP.html">NEPRIIGetKSP</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetTwoSided.html">NEPSetTwoSided</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetStoppingTest.html">NEPGetStoppingTest</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIIGetMaximumIterations.html">NEPRIIGetMaximumIterations</A></TD>
 <TD WIDTH=250><A HREF="./NEPStop.html">NEPStop</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPGetTwoSided.html">NEPGetTwoSided</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetDeflationThreshold.html">NEPRIISetDeflationThreshold</A></TD>
 <TD WIDTH=250><A HREF="./NEPStoppingBasic.html">NEPStoppingBasic</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPInterpolGetInterpolation.html">NEPInterpolGetInterpolation</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetKSP.html">NEPRIISetKSP</A></TD>
 <TD WIDTH=250><A HREF="./NEPStoppingTestFn.html">NEPStoppingTestFn</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPInterpolGetPEP.html">NEPInterpolGetPEP</A></TD>
 <TD WIDTH=250><A HREF="./NEPRIISetMaximumIterations.html">NEPRIISetMaximumIterations</A></TD>
 <TD WIDTH=250><A HREF="./"></A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPInterpolSetInterpolation.html">NEPInterpolSetInterpolation</A></TD>
 <TD WIDTH=250><A HREF="./NEPRefineGetKSP.html">NEPRefineGetKSP</A></TD>
 <TD WIDTH=250><A HREF="./"></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="./NEPAllocateSolution.html">NEPAllocateSolution</A></TD>
 <TD WIDTH=250><A HREF="./NEPErrorViewFromOptions.html">NEPErrorViewFromOptions</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetTrackAll.html">NEPSetTrackAll</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPApplyAdjoint.html">NEPApplyAdjoint</A></TD>
 <TD WIDTH=250><A HREF="./NEPFinalizePackage.html">NEPFinalizePackage</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetUp.html">NEPSetUp</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPApplyFunction.html">NEPApplyFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPGetTrackAll.html">NEPGetTrackAll</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetWorkVecs.html">NEPSetWorkVecs</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPApplyJacobian.html">NEPApplyJacobian</A></TD>
 <TD WIDTH=250><A HREF="./NEPInitializePackage.html">NEPInitializePackage</A></TD>
 <TD WIDTH=250><A HREF="./NEPValuesViewFromOptions.html">NEPValuesViewFromOptions</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPComputeFunction.html">NEPComputeFunction</A></TD>
 <TD WIDTH=250><A HREF="./NEPMonitorSetFromOptions.html">NEPMonitorSetFromOptions</A></TD>
 <TD WIDTH=250><A HREF="./NEPVectorsViewFromOptions.html">NEPVectorsViewFromOptions</A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPComputeJacobian.html">NEPComputeJacobian</A></TD>
 <TD WIDTH=250><A HREF="./NEPProjectOperator.html">NEPProjectOperator</A></TD>
 <TD WIDTH=250><A HREF="./"></A></TD>
<TR>
 <TD WIDTH=250><A HREF="./NEPConvergedReasonViewFromOptions.html">NEPConvergedReasonViewFromOptions</A></TD>
 <TD WIDTH=250><A HREF="./NEPSetDSType.html">NEPSetDSType</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>