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<A NAME="KSPSolve"><H1>KSPSolve</H1></A>
Solves linear system.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscksp.h"
int KSPSolve(KSP ksp)
</PRE>
Collective on <A HREF="../KSP/KSP.html#KSP">KSP</A>
<P>
<H3><FONT COLOR="#CC3333">Parameter</FONT></H3>
<DT><B>ksp </B> -iterative context obtained from <A HREF="../KSP/KSPCreate.html#KSPCreate">KSPCreate</A>()
<br>
<P>
<H3><FONT COLOR="#CC3333">Options Database Keys</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_compute_eigenvalues </B></TD><TD>- compute preconditioned operators eigenvalues
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_plot_eigenvalues </B></TD><TD>- plot the computed eigenvalues in an X-window
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_compute_eigenvalues_explicitly </B></TD><TD>- compute the eigenvalues by forming the
dense operator and useing LAPACK
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_plot_eigenvalues_explicitly </B></TD><TD>- plot the explicitly computing eigenvalues
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_view_binary </B></TD><TD>- save matrix and right hand side that define linear system to the
default binary viewer (can be
read later with src/ksp/examples/tutorials/ex10.c for testing solvers)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_view </B></TD><TD>- print the ksp data structure at the end of the system solution
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
<P>
The input and output are set with <A HREF="../KSP/KSPSetRhs.html#KSPSetRhs">KSPSetRhs</A>() and <A HREF="../KSP/KSPSetSolution.html#KSPSetSolution">KSPSetSolution</A>().
The operator is specified with <A HREF="../PC/PCSetOperators.html#PCSetOperators">PCSetOperators</A>().
<P>
Call <A HREF="../KSP/KSPGetConvergedReason.html#KSPGetConvergedReason">KSPGetConvergedReason</A>() to determine if the solver converged or failed and
why. The number of iterations can be obtained from <A HREF="../KSP/KSPGetIterationNumber.html#KSPGetIterationNumber">KSPGetIterationNumber</A>().
<P>
If using a direct method (e.g., via the <A HREF="../KSP/KSP.html#KSP">KSP</A> solver
KSPPREONLY and a preconditioner such as <A HREF="../PC/PCLU.html#PCLU">PCLU</A>/<A HREF="../PC/PCILU.html#PCILU">PCILU</A>),
then its=1. See <A HREF="../KSP/KSPSetTolerances.html#KSPSetTolerances">KSPSetTolerances</A>() and <A HREF="../KSP/KSPDefaultConverged.html#KSPDefaultConverged">KSPDefaultConverged</A>()
for more details.
<P>
<H3><FONT COLOR="#CC3333">Understanding Convergence</FONT></H3>
The routines <A HREF="../KSP/KSPSetMonitor.html#KSPSetMonitor">KSPSetMonitor</A>(), <A HREF="../KSP/KSPComputeEigenvalues.html#KSPComputeEigenvalues">KSPComputeEigenvalues</A>(), and
<A HREF="../KSP/KSPComputeEigenvaluesExplicitly.html#KSPComputeEigenvaluesExplicitly">KSPComputeEigenvaluesExplicitly</A>() provide information on additional
options to monitor convergence and print eigenvalue information.
<P>
<P>
<H3><FONT COLOR="#CC3333">Keywords</FONT></H3>
<A HREF="../KSP/KSP.html#KSP">KSP</A>, solve, linear system
<BR>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../KSP/KSPCreate.html#KSPCreate">KSPCreate</A>(), <A HREF="../KSP/KSPSetUp.html#KSPSetUp">KSPSetUp</A>(), <A HREF="../KSP/KSPDestroy.html#KSPDestroy">KSPDestroy</A>(), <A HREF="../KSP/KSPSetTolerances.html#KSPSetTolerances">KSPSetTolerances</A>(), <A HREF="../KSP/KSPDefaultConverged.html#KSPDefaultConverged">KSPDefaultConverged</A>(),
<BR><A HREF="../KSP/KSPSolveTranspose.html#KSPSolveTranspose">KSPSolveTranspose</A>(), <A HREF="../KSP/KSPGetIterationNumber.html#KSPGetIterationNumber">KSPGetIterationNumber</A>()
<P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>beginner
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/ksp/ksp/interface/itfunc.c.html#KSPSolve">src/ksp/ksp/interface/itfunc.c</A>
<BR><A HREF="./index.html">Index of all KSP routines</A>
<BR><A HREF="../../index.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
<A HREF="../../../src/mat/examples/tutorials/ex3.c.html">src/mat/examples/tutorials/ex3.c.html</A><BR>
<A HREF="../../../src/ksp/pc/examples/tutorials/ex1.c.html">src/ksp/pc/examples/tutorials/ex1.c.html</A><BR>
<A HREF="../../../src/ksp/pc/examples/tutorials/ex2.c.html">src/ksp/pc/examples/tutorials/ex2.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex1.c.html">src/ksp/examples/tutorials/ex1.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex2.c.html">src/ksp/examples/tutorials/ex2.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex3.c.html">src/ksp/examples/tutorials/ex3.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex4.c.html">src/ksp/examples/tutorials/ex4.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex5.c.html">src/ksp/examples/tutorials/ex5.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex7.c.html">src/ksp/examples/tutorials/ex7.c.html</A><BR>
<A HREF="../../../src/ksp/examples/tutorials/ex8.c.html">src/ksp/examples/tutorials/ex8.c.html</A><BR>
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