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<div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
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<A NAME="MatMatSolveTranspose"><H1>MatMatSolveTranspose</H1></A>
Solves A^T 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/MatMatSolveTranspose.html#MatMatSolveTranspose">MatMatSolveTranspose</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>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>X </B></TD><TD>- the result matrix (dense matrix)
</TD></TR></TABLE>
<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/MatMatSolveTranspose.html#MatMatSolveTranspose">MatMatSolveTranspose</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 or MUMPS as a parallel solver, PETSc will use their functionality to solve multiple right hand sides simultaneously.
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../Mat/MatMatSolve.html#MatMatSolve">MatMatSolve</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#MatMatSolveTranspose">src/mat/interface/matrix.c</A>
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