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<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/PEPSolve.html "><small>Report Typos and Errors</small></a></div>
<H1>PEPSolve</H1>
Solves the polynomial eigensystem.
<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/PEPSolve.html#PEPSolve">PEPSolve</A>(<A HREF="../PEP/PEP.html#PEP">PEP</A> pep)
</PRE>
Collective
<P>
<H3><FONT COLOR="#883300">Input Parameter</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>pep </B></TD><TD> - eigensolver context obtained from <A HREF="../PEP/PEPCreate.html#PEPCreate">PEPCreate</A>()
</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_view </B></TD><TD> - print information about the solver used
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_view_matk </B></TD><TD> - view the coefficient matrix Ak (replace k by an integer from 0 to nmat-1)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_view_vectors </B></TD><TD> - view the computed eigenvectors
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_view_values </B></TD><TD> - view the computed eigenvalues
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_converged_reason </B></TD><TD> - print reason for convergence, and number of iterations
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_error_absolute </B></TD><TD> - print absolute errors of each eigenpair
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_error_relative </B></TD><TD> - print relative errors of each eigenpair
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-pep_error_backward </B></TD><TD> - print backward errors of each eigenpair
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
All the command-line options listed above admit an optional argument specifying
the viewer type and options. For instance, use '-pep_view_mat0 binary:amatrix.bin'
to save the A matrix to a binary file, '-pep_view_values draw' to draw the computed
eigenvalues graphically, or '-pep_error_relative :myerr.m:ascii_matlab' to save
the errors in a file that can be executed in Matlab.
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../PEP/PEPCreate.html#PEPCreate">PEPCreate</A>(), <A HREF="../PEP/PEPSetUp.html#PEPSetUp">PEPSetUp</A>(), <A HREF="../PEP/PEPDestroy.html#PEPDestroy">PEPDestroy</A>(), <A HREF="../PEP/PEPSetTolerances.html#PEPSetTolerances">PEPSetTolerances</A>()
<BR><P><B></B><H3><FONT COLOR="#883300">Level</FONT></H3>beginner<BR>
<H3><FONT COLOR="#883300">Location</FONT></H3>
</B><A HREF="../../../src/pep/interface/pepsolve.c.html#PEPSolve">src/pep/interface/pepsolve.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/ex17.c.html">src/pep/tutorials/ex17.c</A><BR>
<A HREF="../../../src/pep/tutorials/ex28.c.html">src/pep/tutorials/ex28.c</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/acoustic_wave_1d.c.html">src/pep/tutorials/nlevp/acoustic_wave_1d.c</A><BR>
<A HREF="../../../src/pep/tutorials/nlevp/acoustic_wave_2d.c.html">src/pep/tutorials/nlevp/acoustic_wave_2d.c</A><BR>
<A HREF="../../../src/pep/tutorials/nlevp/butterfly.c.html">src/pep/tutorials/nlevp/butterfly.c</A><BR>
<A HREF="../../../src/pep/tutorials/nlevp/damped_beam.c.html">src/pep/tutorials/nlevp/damped_beam.c</A><BR>
<BR><BR><A HREF="./index.html">Index of all PEP routines</A>
<BR><A HREF="../../../docs/manual.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
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