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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML3.2 EN">
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<TITLE>MatMultTranspose</TITLE>
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   <div id="version" align=right><b>petsc-3.14.5 2021-03-03</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-3.14.5 v3.14.5 docs/manualpages/Mat/MatMultTranspose.html "><small>Report Typos and Errors</small></a></div>
<A NAME="MatMultTranspose"><H1>MatMultTranspose</H1></A>
Computes matrix transpose times a vector y = A^T * x. 
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscmat.h" 
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../Mat/MatMultTranspose.html#MatMultTranspose">MatMultTranspose</A>(<A HREF="../Mat/Mat.html#Mat">Mat</A> mat,<A HREF="../Vec/Vec.html#Vec">Vec</A> x,<A HREF="../Vec/Vec.html#Vec">Vec</A> y)
</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>mat </B></TD><TD>- the matrix
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>x   </B></TD><TD>- the vector to be multiplied
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>y </B></TD><TD>- the result
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
The vectors x and y cannot be the same.  I.e., one cannot
call <A HREF="../Mat/MatMultTranspose.html#MatMultTranspose">MatMultTranspose</A>(A,y,y).
<P>
For complex numbers this does NOT compute the Hermitian (complex conjugate) transpose multiple,
use <A HREF="../Mat/MatMultHermitianTranspose.html#MatMultHermitianTranspose">MatMultHermitianTranspose</A>()
<P>

<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
 <A HREF="../Mat/MatMult.html#MatMult">MatMult</A>(), <A HREF="../Mat/MatMultAdd.html#MatMultAdd">MatMultAdd</A>(), <A HREF="../Mat/MatMultTransposeAdd.html#MatMultTransposeAdd">MatMultTransposeAdd</A>(), <A HREF="../Mat/MatMultHermitianTranspose.html#MatMultHermitianTranspose">MatMultHermitianTranspose</A>(), <A HREF="../Mat/MatTranspose.html#MatTranspose">MatTranspose</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>beginner<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/mat/interface/matrix.c.html#MatMultTranspose">src/mat/interface/matrix.c</A>
<P><H3><FONT COLOR="#CC3333">Examples</FONT></H3>
<A HREF="../../../src/mat/tutorials/ex2.c.html">src/mat/tutorials/ex2.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex27.c.html">src/ksp/ksp/tutorials/ex27.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex53.c.html">src/ksp/ksp/tutorials/ex53.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex72.c.html">src/ksp/ksp/tutorials/ex72.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex73.c.html">src/ksp/ksp/tutorials/ex73.c.html</A><BR>
<A HREF="../../../src/tao/constrained/tutorials/tomographyADMM.c.html">src/tao/constrained/tutorials/tomographyADMM.c.html</A><BR>
<A HREF="../../../src/tao/pde_constrained/tutorials/elliptic.c.html">src/tao/pde_constrained/tutorials/elliptic.c.html</A><BR>
<A HREF="../../../src/tao/pde_constrained/tutorials/hyperbolic.c.html">src/tao/pde_constrained/tutorials/hyperbolic.c.html</A><BR>
<A HREF="../../../src/tao/tutorials/ex4.c.html">src/tao/tutorials/ex4.c.html</A><BR>
<P><H3><FONT COLOR="CC3333">Implementations</FONT></H3><A HREF="../../../src/dm/impls/da/usfft/matusfft.c.html#MatMultTranspose_SeqUSFFT">MatMultTranspose_SeqUSFFT in src/dm/impls/da/usfft/matusfft.c</A><BR>
<A HREF="../../../src/ksp/pc/impls/bddc/bddcfetidp.c.html#MatMultTranspose_BDdelta_deluxe_nonred">MatMultTranspose_BDdelta_deluxe_nonred in src/ksp/pc/impls/bddc/bddcfetidp.c</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMultTranspose_MAmI">MatMultTranspose_MAmI in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMultTranspose_Hyper">MatMultTranspose_Hyper in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMultTranspose_NS">MatMultTranspose_NS in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/kokkos/mpiaijkok.kokkos.cxx.html#MatMultTranspose_MPIAIJKokkos">MatMultTranspose_MPIAIJKokkos in src/mat/impls/aij/mpi/kokkos/mpiaijkok.kokkos.cxx</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/mpiaij.c.html#MatMultTranspose_MPIAIJ">MatMultTranspose_MPIAIJ in src/mat/impls/aij/mpi/mpiaij.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/mpicusparse/mpiaijcusparse.cu.html#MatMultTranspose_MPIAIJCUSPARSE">MatMultTranspose_MPIAIJCUSPARSE in src/mat/impls/aij/mpi/mpicusparse/mpiaijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aij.c.html#MatMultTranspose_SeqAIJ">MatMultTranspose_SeqAIJ in src/mat/impls/aij/seq/aij.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijmkl/aijmkl.c.html#MatMultTranspose_SeqAIJMKL">MatMultTranspose_SeqAIJMKL in src/mat/impls/aij/seq/aijmkl/aijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijmkl/aijmkl.c.html#MatMultTranspose_SeqAIJMKL_SpMV2">MatMultTranspose_SeqAIJMKL_SpMV2 in src/mat/impls/aij/seq/aijmkl/aijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijsell/aijsell.c.html#MatMultTranspose_SeqAIJSELL">MatMultTranspose_SeqAIJSELL in src/mat/impls/aij/seq/aijsell/aijsell.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatMultTranspose_SeqAIJKokkos">MatMultTranspose_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatMultTranspose_SeqAIJCUSPARSE">MatMultTranspose_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/baij/mpi/mpibaij.c.html#MatMultTranspose_MPIBAIJ">MatMultTranspose_MPIBAIJ in src/mat/impls/baij/mpi/mpibaij.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMultTranspose_SeqBAIJ">MatMultTranspose_SeqBAIJ in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijmkl/baijmkl.c.html#MatMultTranspose_SeqBAIJMKL_SpMV2">MatMultTranspose_SeqBAIJMKL_SpMV2 in src/mat/impls/baij/seq/baijmkl/baijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/blockmat/seq/blockmat.c.html#MatMultTranspose_BlockMat">MatMultTranspose_BlockMat in src/mat/impls/blockmat/seq/blockmat.c</A><BR>
<A HREF="../../../src/mat/impls/cdiagonal/cdiagonal.c.html#MatMultTranspose_ConstantDiagonal">MatMultTranspose_ConstantDiagonal in src/mat/impls/cdiagonal/cdiagonal.c</A><BR>
<A HREF="../../../src/mat/impls/composite/mcomposite.c.html#MatMultTranspose_Composite_Multiplicative">MatMultTranspose_Composite_Multiplicative in src/mat/impls/composite/mcomposite.c</A><BR>
<A HREF="../../../src/mat/impls/composite/mcomposite.c.html#MatMultTranspose_Composite">MatMultTranspose_Composite in src/mat/impls/composite/mcomposite.c</A><BR>
<A HREF="../../../src/mat/impls/cufft/cufft.cu.html#MatMultTranspose_SeqCUFFT">MatMultTranspose_SeqCUFFT in src/mat/impls/cufft/cufft.cu</A><BR>
<A HREF="../../../src/mat/impls/dense/mpi/mpidense.c.html#MatMultTranspose_MPIDense">MatMultTranspose_MPIDense in src/mat/impls/dense/mpi/mpidense.c</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/cuda/densecuda.cu.html#MatMultTranspose_SeqDenseCUDA">MatMultTranspose_SeqDenseCUDA in src/mat/impls/dense/seq/cuda/densecuda.cu</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/dense.c.html#MatMultTranspose_SeqDense">MatMultTranspose_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
<A HREF="../../../src/mat/impls/elemental/matelem.cxx.html#MatMultTranspose_Elemental">MatMultTranspose_Elemental in src/mat/impls/elemental/matelem.cxx</A><BR>
<A HREF="../../../src/mat/impls/fft/fftw/fftw.c.html#MatMultTranspose_SeqFFTW">MatMultTranspose_SeqFFTW in src/mat/impls/fft/fftw/fftw.c</A><BR>
<A HREF="../../../src/mat/impls/fft/fftw/fftw.c.html#MatMultTranspose_MPIFFTW">MatMultTranspose_MPIFFTW in src/mat/impls/fft/fftw/fftw.c</A><BR>
<A HREF="../../../src/mat/impls/hara/mathara.cu.html#MatMultTranspose_HARA">MatMultTranspose_HARA in src/mat/impls/hara/mathara.cu</A><BR>
<A HREF="../../../src/mat/impls/hypre/mhypre.c.html#MatMultTranspose_HYPRE">MatMultTranspose_HYPRE in src/mat/impls/hypre/mhypre.c</A><BR>
<A HREF="../../../src/mat/impls/is/matis.c.html#MatMultTranspose_IS">MatMultTranspose_IS in src/mat/impls/is/matis.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_2">MatMultTranspose_SeqMAIJ_2 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_3">MatMultTranspose_SeqMAIJ_3 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_4">MatMultTranspose_SeqMAIJ_4 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_5">MatMultTranspose_SeqMAIJ_5 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_6">MatMultTranspose_SeqMAIJ_6 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_7">MatMultTranspose_SeqMAIJ_7 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_8">MatMultTranspose_SeqMAIJ_8 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_9">MatMultTranspose_SeqMAIJ_9 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_10">MatMultTranspose_SeqMAIJ_10 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_11">MatMultTranspose_SeqMAIJ_11 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_16">MatMultTranspose_SeqMAIJ_16 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_18">MatMultTranspose_SeqMAIJ_18 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_SeqMAIJ_N">MatMultTranspose_SeqMAIJ_N in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMultTranspose_MPIMAIJ_dof">MatMultTranspose_MPIMAIJ_dof in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/nest/matnest.c.html#MatMultTranspose_Nest">MatMultTranspose_Nest in src/mat/impls/nest/matnest.c</A><BR>
<A HREF="../../../src/mat/impls/normal/normm.c.html#MatMultTranspose_Normal">MatMultTranspose_Normal in src/mat/impls/normal/normm.c</A><BR>
<A HREF="../../../src/mat/impls/scalapack/matscalapack.c.html#MatMultTranspose_ScaLAPACK">MatMultTranspose_ScaLAPACK in src/mat/impls/scalapack/matscalapack.c</A><BR>
<A HREF="../../../src/mat/impls/scatter/mscatter.c.html#MatMultTranspose_Scatter">MatMultTranspose_Scatter in src/mat/impls/scatter/mscatter.c</A><BR>
<A HREF="../../../src/mat/impls/sell/mpi/mpisell.c.html#MatMultTranspose_MPISELL">MatMultTranspose_MPISELL in src/mat/impls/sell/mpi/mpisell.c</A><BR>
<A HREF="../../../src/mat/impls/sell/seq/sell.c.html#MatMultTranspose_SeqSELL">MatMultTranspose_SeqSELL in src/mat/impls/sell/seq/sell.c</A><BR>
<A HREF="../../../src/mat/impls/shell/shell.c.html#MatMultTranspose_Shell">MatMultTranspose_Shell in src/mat/impls/shell/shell.c</A><BR>
<A HREF="../../../src/mat/impls/shell/shellcnv.c.html#MatMultTranspose_CF">MatMultTranspose_CF in src/mat/impls/shell/shellcnv.c</A><BR>
<A HREF="../../../src/mat/impls/submat/submat.c.html#MatMultTranspose_SubMatrix">MatMultTranspose_SubMatrix in src/mat/impls/submat/submat.c</A><BR>
<A HREF="../../../src/mat/impls/transpose/transm.c.html#MatMultTranspose_Transpose">MatMultTranspose_Transpose in src/mat/impls/transpose/transm.c</A><BR>
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