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<div id="version" align=right><b>petsc-3.10.3 2018-12-18</b></div>
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<A NAME="MatMatSolve"><H1>MatMatSolve</H1></A>
Solves A X = B, given a factored matrix.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscmat.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../Mat/MatMatSolve.html#MatMatSolve">MatMatSolve</A>(<A HREF="../Mat/Mat.html#Mat">Mat</A> A,<A HREF="../Mat/Mat.html#Mat">Mat</A> B,<A HREF="../Mat/Mat.html#Mat">Mat</A> X)
</PRE>
Neighbor-wise Collective on <A HREF="../Mat/Mat.html#Mat">Mat</A>
<P>
<H3><FONT COLOR="#CC3333">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>A </B></TD><TD>- the factored matrix
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>B </B></TD><TD>- the right-hand-side matrix (dense matrix)
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameter</FONT></H3>
<DT><B>X </B> -the result matrix (dense matrix)
<br>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
The matrices b and x cannot be the same. I.e., one cannot
call <A HREF="../Mat/MatMatSolve.html#MatMatSolve">MatMatSolve</A>(A,x,x).
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
Most users should usually employ the simplified <A HREF="../KSP/KSP.html#KSP">KSP</A> interface for linear solvers
instead of working directly with matrix algebra routines such as this.
See, e.g., <A HREF="../KSP/KSPCreate.html#KSPCreate">KSPCreate</A>(). However <A HREF="../KSP/KSP.html#KSP">KSP</A> can only solve for one vector (column of X)
at a time.
<P>
When using SuperLU_Dist as a parallel solver PETSc will use the SuperLU_Dist functionality to solve multiple right hand sides simultaneously. For MUMPS
it calls a separate solve for each right hand side since MUMPS does not yet support distributed right hand sides.
<P>
Since the resulting matrix X must always be dense we do not support sparse representation of the matrix B.
<P>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../Mat/MatMatSolveTranspose.html#MatMatSolveTranspose">MatMatSolveTranspose</A>(), <A HREF="../Mat/MatLUFactor.html#MatLUFactor">MatLUFactor</A>(), <A HREF="../Mat/MatCholeskyFactor.html#MatCholeskyFactor">MatCholeskyFactor</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>developer<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/mat/interface/matrix.c.html#MatMatSolve">src/mat/interface/matrix.c</A>
<P><H3><FONT COLOR="CC3333">Implementations</FONT></H3><A HREF="../../../src/mat/impls/aij/mpi/mkl_cpardiso/mkl_cpardiso.c.html#MatMatSolve_MKL_CPARDISO">MatMatSolve_MKL_CPARDISO in src/mat/impls/aij/mpi/mkl_cpardiso/mkl_cpardiso.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/mumps/mumps.c.html#MatMatSolve_MUMPS">MatMatSolve_MUMPS in src/mat/impls/aij/mpi/mumps/mumps.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/strumpack/strumpack.c.html#MatMatSolve_STRUMPACK">MatMatSolve_STRUMPACK in src/mat/impls/aij/mpi/strumpack/strumpack.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/superlu_dist/superlu_dist.c.html#MatMatSolve_SuperLU_DIST">MatMatSolve_SuperLU_DIST in src/mat/impls/aij/mpi/superlu_dist/superlu_dist.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijfact.c.html#MatMatSolve_SeqAIJ_inplace">MatMatSolve_SeqAIJ_inplace in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijfact.c.html#MatMatSolve_SeqAIJ">MatMatSolve_SeqAIJ in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/mkl_pardiso/mkl_pardiso.c.html#MatMatSolve_MKL_PARDISO">MatMatSolve_MKL_PARDISO in src/mat/impls/aij/seq/mkl_pardiso/mkl_pardiso.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/superlu/superlu.c.html#MatMatSolve_SuperLU">MatMatSolve_SuperLU in src/mat/impls/aij/seq/superlu/superlu.c</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/dense.c.html#MatMatSolve_SeqDense">MatMatSolve_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
<A HREF="../../../src/mat/impls/elemental/matelem.cxx.html#MatMatSolve_Elemental">MatMatSolve_Elemental in src/mat/impls/elemental/matelem.cxx</A><BR>
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