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<div id="version" align=right><b>slepc-3.22.2 2024-12-02</b></div>
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<H1>PEPSetProblemType</H1>
Specifies the type of the polynomial eigenvalue problem.
<H3><FONT COLOR="#883300">Synopsis</FONT></H3>
<PRE>
#include "slepcpep.h"
<A HREF="https://petsc.org/release/manualpages/Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../PEP/PEPSetProblemType.html#PEPSetProblemType">PEPSetProblemType</A>(<A HREF="../PEP/PEP.html#PEP">PEP</A> pep,<A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEPProblemType</A> type)
</PRE>
Logically Collective
<P>
<H3><FONT COLOR="#883300">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>pep </B></TD><TD> - the polynomial eigensolver context
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>type </B></TD><TD> - a known type of polynomial eigenvalue problem
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Options Database Keys</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_general </B></TD><TD> - general problem with no particular structure
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_hermitian </B></TD><TD> - problem whose coefficient matrices are Hermitian
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_hyperbolic </B></TD><TD> - Hermitian problem that satisfies the definition of hyperbolic
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_gyroscopic </B></TD><TD> - problem with Hamiltonian structure
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
Allowed values for the problem type are general (<A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEP_GENERAL</A>), Hermitian
(<A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEP_HERMITIAN</A>), hyperbolic (<A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEP_HYPERBOLIC</A>), and gyroscopic (<A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEP_GYROSCOPIC</A>).
<P>
This function is used to instruct SLEPc to exploit certain structure in
the polynomial eigenproblem. By default, no particular structure is assumed.
<P>
If the problem matrices are Hermitian (symmetric in the real case) or
Hermitian/skew-Hermitian then the solver can exploit this fact to perform
less operations or provide better stability. Hyperbolic problems are a
particular case of Hermitian problems, some solvers may treat them simply as
Hermitian.
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../PEP/PEPSetOperators.html#PEPSetOperators">PEPSetOperators</A>(), <A HREF="../PEP/PEPSetType.html#PEPSetType">PEPSetType</A>(), <A HREF="../PEP/PEPGetProblemType.html#PEPGetProblemType">PEPGetProblemType</A>(), <A HREF="../PEP/PEPProblemType.html#PEPProblemType">PEPProblemType</A>
<BR><P><B></B><H3><FONT COLOR="#883300">Level</FONT></H3>intermediate<BR>
<H3><FONT COLOR="#883300">Location</FONT></H3>
</B><A HREF="../../../src/pep/interface/pepopts.c.html#PEPSetProblemType">src/pep/interface/pepopts.c</A>
<P><H3><FONT COLOR="#883300">Examples</FONT></H3>
<A HREF="../../../src/pep/tutorials/ex16.c.html">src/pep/tutorials/ex16.c</A><BR>
<A HREF="../../../src/pep/tutorials/ex16f.F90.html">src/pep/tutorials/ex16f.F90</A><BR>
<A HREF="../../../src/pep/tutorials/ex38.c.html">src/pep/tutorials/ex38.c</A><BR>
<A HREF="../../../src/pep/tutorials/ex40.c.html">src/pep/tutorials/ex40.c</A><BR>
<A HREF="../../../src/pep/tutorials/ex50.c.html">src/pep/tutorials/ex50.c</A><BR>
<A HREF="../../../src/pep/tutorials/nlevp/wiresaw.c.html">src/pep/tutorials/nlevp/wiresaw.c</A><BR>
<BR><BR><A HREF="./index.html">Index of all PEP routines</A>
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