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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML3.2 EN">
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<TITLE>MatSolveTranspose</TITLE>
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<div id="version" align=right><b>petsc-3.10.3 2018-12-18</b></div>
<div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.10.3 v3.10.3 docs/manualpages/Mat/MatSolveTranspose.html "><small>Report Typos and Errors</small></a></div>
<A NAME="MatSolveTranspose"><H1>MatSolveTranspose</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/MatSolveTranspose.html#MatSolveTranspose">MatSolveTranspose</A>(<A HREF="../Mat/Mat.html#Mat">Mat</A> mat,<A HREF="../Vec/Vec.html#Vec">Vec</A> b,<A HREF="../Vec/Vec.html#Vec">Vec</A> x)
</PRE>
Neighbor-wise Collective on <A HREF="../Mat/Mat.html#Mat">Mat</A> and <A HREF="../Vec/Vec.html#Vec">Vec</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>mat </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 vector
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameter</FONT></H3>
<DT><B>x </B> -the result vector
<br>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
The vectors b and x cannot be the same. I.e., one cannot
call <A HREF="../Mat/MatSolveTranspose.html#MatSolveTranspose">MatSolveTranspose</A>(A,x,x).
<P>
Most users should 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>().
<P>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../Mat/MatSolve.html#MatSolve">MatSolve</A>(), <A HREF="../Mat/MatSolveAdd.html#MatSolveAdd">MatSolveAdd</A>(), <A HREF="../Mat/MatSolveTransposeAdd.html#MatSolveTransposeAdd">MatSolveTransposeAdd</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#MatSolveTranspose">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#MatSolveTranspose_MKL_CPARDISO">MatSolveTranspose_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#MatSolveTranspose_MUMPS">MatSolveTranspose_MUMPS in src/mat/impls/aij/mpi/mumps/mumps.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijfact.c.html#MatSolveTranspose_SeqAIJ_inplace">MatSolveTranspose_SeqAIJ_inplace in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijfact.c.html#MatSolveTranspose_SeqAIJ">MatSolveTranspose_SeqAIJ in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/klu/klu.c.html#MatSolveTranspose_KLU">MatSolveTranspose_KLU in src/mat/impls/aij/seq/klu/klu.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/mkl_pardiso/mkl_pardiso.c.html#MatSolveTranspose_MKL_PARDISO">MatSolveTranspose_MKL_PARDISO in src/mat/impls/aij/seq/mkl_pardiso/mkl_pardiso.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatSolveTranspose_SeqAIJCUSPARSE">MatSolveTranspose_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatSolveTranspose_SeqAIJCUSPARSE_NaturalOrdering">MatSolveTranspose_SeqAIJCUSPARSE_NaturalOrdering in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/superlu/superlu.c.html#MatSolveTranspose_SuperLU">MatSolveTranspose_SuperLU in src/mat/impls/aij/seq/superlu/superlu.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/umfpack/umfpack.c.html#MatSolveTranspose_UMFPACK">MatSolveTranspose_UMFPACK in src/mat/impls/aij/seq/umfpack/umfpack.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_1">MatSolveTranspose_SeqBAIJ_1 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_1_inplace">MatSolveTranspose_SeqBAIJ_1_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_2_inplace">MatSolveTranspose_SeqBAIJ_2_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_2">MatSolveTranspose_SeqBAIJ_2 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_3_inplace">MatSolveTranspose_SeqBAIJ_3_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_3">MatSolveTranspose_SeqBAIJ_3 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_4_inplace">MatSolveTranspose_SeqBAIJ_4_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_4">MatSolveTranspose_SeqBAIJ_4 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_5_inplace">MatSolveTranspose_SeqBAIJ_5_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_5">MatSolveTranspose_SeqBAIJ_5 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_6_inplace">MatSolveTranspose_SeqBAIJ_6_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_6">MatSolveTranspose_SeqBAIJ_6 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_7_inplace">MatSolveTranspose_SeqBAIJ_7_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_7">MatSolveTranspose_SeqBAIJ_7 in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_N_inplace">MatSolveTranspose_SeqBAIJ_N_inplace in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtran.c.html#MatSolveTranspose_SeqBAIJ_N">MatSolveTranspose_SeqBAIJ_N in src/mat/impls/baij/seq/baijsolvtran.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_1_NaturalOrdering">MatSolveTranspose_SeqBAIJ_1_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_1_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_1_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_2_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_2_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_2_NaturalOrdering">MatSolveTranspose_SeqBAIJ_2_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_3_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_3_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_3_NaturalOrdering">MatSolveTranspose_SeqBAIJ_3_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_4_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_4_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_4_NaturalOrdering">MatSolveTranspose_SeqBAIJ_4_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_5_NaturalOrdering">MatSolveTranspose_SeqBAIJ_5_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_6_NaturalOrdering">MatSolveTranspose_SeqBAIJ_6_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace">MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijsolvtrannat.c.html#MatSolveTranspose_SeqBAIJ_7_NaturalOrdering">MatSolveTranspose_SeqBAIJ_7_NaturalOrdering in src/mat/impls/baij/seq/baijsolvtrannat.c</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/dense.c.html#MatSolveTranspose_SeqDense">MatSolveTranspose_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
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