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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/MatMult.html "><small>Report Typos and Errors</small></a></div>
<A NAME="MatMult"><H1>MatMult</H1></A>
Computes the matrix-vector product, y = Ax.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscmat.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../Mat/MatMult.html#MatMult">MatMult</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/MatMult.html#MatMult">MatMult</A>(A,y,y).
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../Mat/MatMultTranspose.html#MatMultTranspose">MatMultTranspose</A>(), <A HREF="../Mat/MatMultAdd.html#MatMultAdd">MatMultAdd</A>(), <A HREF="../Mat/MatMultTransposeAdd.html#MatMultTransposeAdd">MatMultTransposeAdd</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#MatMult">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/mat/tutorials/ex9.c.html">src/mat/tutorials/ex9.c.html</A><BR>
<A HREF="../../../src/ksp/pc/tutorials/ex3.c.html">src/ksp/pc/tutorials/ex3.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex1.c.html">src/ksp/ksp/tutorials/ex1.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex2.c.html">src/ksp/ksp/tutorials/ex2.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex4.c.html">src/ksp/ksp/tutorials/ex4.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex5.c.html">src/ksp/ksp/tutorials/ex5.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex6.c.html">src/ksp/ksp/tutorials/ex6.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex7.c.html">src/ksp/ksp/tutorials/ex7.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex8.c.html">src/ksp/ksp/tutorials/ex8.c.html</A><BR>
<A HREF="../../../src/ksp/ksp/tutorials/ex9.c.html">src/ksp/ksp/tutorials/ex9.c.html</A><BR>
<P><H3><FONT COLOR="CC3333">Implementations</FONT></H3><A HREF="../../../src/dm/impls/da/hypre/mhyp.c.html#MatMult_HYPREStruct">MatMult_HYPREStruct in src/dm/impls/da/hypre/mhyp.c</A><BR>
<A HREF="../../../src/dm/impls/da/hypre/mhyp.c.html#MatMult_HYPRESStruct">MatMult_HYPRESStruct in src/dm/impls/da/hypre/mhyp.c</A><BR>
<A HREF="../../../src/dm/impls/da/usfft/matusfft.c.html#MatMult_SeqUSFFT">MatMult_SeqUSFFT in src/dm/impls/da/usfft/matusfft.c</A><BR>
<A HREF="../../../src/ksp/pc/impls/bddc/bddcfetidp.c.html#MatMult_BDdelta_deluxe_nonred">MatMult_BDdelta_deluxe_nonred in src/ksp/pc/impls/bddc/bddcfetidp.c</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMult_MAmI">MatMult_MAmI in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMult_Hyper">MatMult_Hyper in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/ksp/pc/impls/hara/pchara.cu.html#MatMult_NS">MatMult_NS in src/ksp/pc/impls/hara/pchara.cu</A><BR>
<A HREF="../../../src/ksp/pc/impls/ml/ml.c.html#MatMult_ML">MatMult_ML in src/ksp/pc/impls/ml/ml.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/kokkos/mpiaijkok.kokkos.cxx.html#MatMult_MPIAIJKokkos">MatMult_MPIAIJKokkos in src/mat/impls/aij/mpi/kokkos/mpiaijkok.kokkos.cxx</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/mpiaij.c.html#MatMult_MPIAIJ">MatMult_MPIAIJ in src/mat/impls/aij/mpi/mpiaij.c</A><BR>
<A HREF="../../../src/mat/impls/aij/mpi/mpicusparse/mpiaijcusparse.cu.html#MatMult_MPIAIJCUSPARSE">MatMult_MPIAIJCUSPARSE in src/mat/impls/aij/mpi/mpicusparse/mpiaijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aij.c.html#MatMult_SeqAIJ">MatMult_SeqAIJ in src/mat/impls/aij/seq/aij.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijmkl/aijmkl.c.html#MatMult_SeqAIJMKL">MatMult_SeqAIJMKL in src/mat/impls/aij/seq/aijmkl/aijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijmkl/aijmkl.c.html#MatMult_SeqAIJMKL_SpMV2">MatMult_SeqAIJMKL_SpMV2 in src/mat/impls/aij/seq/aijmkl/aijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijperm/aijperm.c.html#MatMult_SeqAIJPERM">MatMult_SeqAIJPERM in src/mat/impls/aij/seq/aijperm/aijperm.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/aijsell/aijsell.c.html#MatMult_SeqAIJSELL">MatMult_SeqAIJSELL in src/mat/impls/aij/seq/aijsell/aijsell.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/crl/crl.c.html#MatMult_AIJCRL">MatMult_AIJCRL in src/mat/impls/aij/seq/crl/crl.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/inode.c.html#MatMult_SeqAIJ_Inode">MatMult_SeqAIJ_Inode in src/mat/impls/aij/seq/inode.c</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatMult_SeqAIJKokkos">MatMult_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatMult_SeqAIJCUSPARSE">MatMult_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="../../../src/mat/impls/aij/seq/seqviennacl/aijviennacl.cxx.html#MatMult_SeqAIJViennaCL">MatMult_SeqAIJViennaCL in src/mat/impls/aij/seq/seqviennacl/aijviennacl.cxx</A><BR>
<A HREF="../../../src/mat/impls/baij/mpi/mpibaij.c.html#MatMult_MPIBAIJ">MatMult_MPIBAIJ in src/mat/impls/baij/mpi/mpibaij.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_1">MatMult_SeqBAIJ_1 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_2">MatMult_SeqBAIJ_2 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_3">MatMult_SeqBAIJ_3 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_4">MatMult_SeqBAIJ_4 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_5">MatMult_SeqBAIJ_5 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_6">MatMult_SeqBAIJ_6 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_7">MatMult_SeqBAIJ_7 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_9_AVX2">MatMult_SeqBAIJ_9_AVX2 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_11">MatMult_SeqBAIJ_11 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_15_ver1">MatMult_SeqBAIJ_15_ver1 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_15_ver2">MatMult_SeqBAIJ_15_ver2 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_15_ver3">MatMult_SeqBAIJ_15_ver3 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_15_ver4">MatMult_SeqBAIJ_15_ver4 in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baij2.c.html#MatMult_SeqBAIJ_N">MatMult_SeqBAIJ_N in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="../../../src/mat/impls/baij/seq/baijmkl/baijmkl.c.html#MatMult_SeqBAIJMKL_SpMV2">MatMult_SeqBAIJMKL_SpMV2 in src/mat/impls/baij/seq/baijmkl/baijmkl.c</A><BR>
<A HREF="../../../src/mat/impls/blockmat/seq/blockmat.c.html#MatMult_BlockMat">MatMult_BlockMat in src/mat/impls/blockmat/seq/blockmat.c</A><BR>
<A HREF="../../../src/mat/impls/blockmat/seq/blockmat.c.html#MatMult_BlockMat_Symmetric">MatMult_BlockMat_Symmetric in src/mat/impls/blockmat/seq/blockmat.c</A><BR>
<A HREF="../../../src/mat/impls/cdiagonal/cdiagonal.c.html#MatMult_ConstantDiagonal">MatMult_ConstantDiagonal in src/mat/impls/cdiagonal/cdiagonal.c</A><BR>
<A HREF="../../../src/mat/impls/composite/mcomposite.c.html#MatMult_Composite_Multiplicative">MatMult_Composite_Multiplicative in src/mat/impls/composite/mcomposite.c</A><BR>
<A HREF="../../../src/mat/impls/composite/mcomposite.c.html#MatMult_Composite">MatMult_Composite in src/mat/impls/composite/mcomposite.c</A><BR>
<A HREF="../../../src/mat/impls/cufft/cufft.cu.html#MatMult_SeqCUFFT">MatMult_SeqCUFFT in src/mat/impls/cufft/cufft.cu</A><BR>
<A HREF="../../../src/mat/impls/dense/mpi/mpidense.c.html#MatMult_MPIDense">MatMult_MPIDense in src/mat/impls/dense/mpi/mpidense.c</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/cuda/densecuda.cu.html#MatMult_SeqDenseCUDA">MatMult_SeqDenseCUDA in src/mat/impls/dense/seq/cuda/densecuda.cu</A><BR>
<A HREF="../../../src/mat/impls/dense/seq/dense.c.html#MatMult_SeqDense">MatMult_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
<A HREF="../../../src/mat/impls/elemental/matelem.cxx.html#MatMult_Elemental">MatMult_Elemental in src/mat/impls/elemental/matelem.cxx</A><BR>
<A HREF="../../../src/mat/impls/fft/fftw/fftw.c.html#MatMult_SeqFFTW">MatMult_SeqFFTW in src/mat/impls/fft/fftw/fftw.c</A><BR>
<A HREF="../../../src/mat/impls/fft/fftw/fftw.c.html#MatMult_MPIFFTW">MatMult_MPIFFTW in src/mat/impls/fft/fftw/fftw.c</A><BR>
<A HREF="../../../src/mat/impls/hara/mathara.cu.html#MatMult_HARA">MatMult_HARA in src/mat/impls/hara/mathara.cu</A><BR>
<A HREF="../../../src/mat/impls/hypre/mhypre.c.html#MatMult_HYPRE">MatMult_HYPRE in src/mat/impls/hypre/mhypre.c</A><BR>
<A HREF="../../../src/mat/impls/is/matis.c.html#MatMult_IS">MatMult_IS in src/mat/impls/is/matis.c</A><BR>
<A HREF="../../../src/mat/impls/kaij/kaij.c.html#MatMult_SeqKAIJ">MatMult_SeqKAIJ in src/mat/impls/kaij/kaij.c</A><BR>
<A HREF="../../../src/mat/impls/kaij/kaij.c.html#MatMult_MPIKAIJ">MatMult_MPIKAIJ in src/mat/impls/kaij/kaij.c</A><BR>
<A HREF="../../../src/mat/impls/lrc/lrc.c.html#MatMult_LRC">MatMult_LRC in src/mat/impls/lrc/lrc.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_2">MatMult_SeqMAIJ_2 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_3">MatMult_SeqMAIJ_3 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_4">MatMult_SeqMAIJ_4 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_5">MatMult_SeqMAIJ_5 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_6">MatMult_SeqMAIJ_6 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_7">MatMult_SeqMAIJ_7 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_8">MatMult_SeqMAIJ_8 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_9">MatMult_SeqMAIJ_9 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_10">MatMult_SeqMAIJ_10 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_11">MatMult_SeqMAIJ_11 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_16">MatMult_SeqMAIJ_16 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_18">MatMult_SeqMAIJ_18 in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_SeqMAIJ_N">MatMult_SeqMAIJ_N in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/maij/maij.c.html#MatMult_MPIMAIJ_dof">MatMult_MPIMAIJ_dof in src/mat/impls/maij/maij.c</A><BR>
<A HREF="../../../src/mat/impls/mffd/mffd.c.html#MatMult_MFFD">MatMult_MFFD in src/mat/impls/mffd/mffd.c</A><BR>
<A HREF="../../../src/mat/impls/nest/matnest.c.html#MatMult_Nest">MatMult_Nest in src/mat/impls/nest/matnest.c</A><BR>
<A HREF="../../../src/mat/impls/normal/normm.c.html#MatMult_Normal">MatMult_Normal in src/mat/impls/normal/normm.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/mpi/mpisbaij.c.html#MatMult_MPISBAIJ_Hermitian">MatMult_MPISBAIJ_Hermitian in src/mat/impls/sbaij/mpi/mpisbaij.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/mpi/mpisbaij.c.html#MatMult_MPISBAIJ">MatMult_MPISBAIJ in src/mat/impls/sbaij/mpi/mpisbaij.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/relax.h.html#MatMult_SeqSBAIJ_1_ushort">MatMult_SeqSBAIJ_1_ushort in src/mat/impls/sbaij/seq/relax.h</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/relax.h.html#MatMult_SeqSBAIJ_1">MatMult_SeqSBAIJ_1 in src/mat/impls/sbaij/seq/relax.h</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_2">MatMult_SeqSBAIJ_2 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_3">MatMult_SeqSBAIJ_3 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_4">MatMult_SeqSBAIJ_4 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_5">MatMult_SeqSBAIJ_5 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_6">MatMult_SeqSBAIJ_6 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_7">MatMult_SeqSBAIJ_7 in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/sbaij/seq/sbaij2.c.html#MatMult_SeqSBAIJ_N">MatMult_SeqSBAIJ_N in src/mat/impls/sbaij/seq/sbaij2.c</A><BR>
<A HREF="../../../src/mat/impls/scalapack/matscalapack.c.html#MatMult_ScaLAPACK">MatMult_ScaLAPACK in src/mat/impls/scalapack/matscalapack.c</A><BR>
<A HREF="../../../src/mat/impls/scatter/mscatter.c.html#MatMult_Scatter">MatMult_Scatter in src/mat/impls/scatter/mscatter.c</A><BR>
<A HREF="../../../src/mat/impls/sell/mpi/mpisell.c.html#MatMult_MPISELL">MatMult_MPISELL in src/mat/impls/sell/mpi/mpisell.c</A><BR>
<A HREF="../../../src/mat/impls/sell/seq/sell.c.html#MatMult_SeqSELL">MatMult_SeqSELL in src/mat/impls/sell/seq/sell.c</A><BR>
<A HREF="../../../src/mat/impls/shell/shell.c.html#MatMult_Shell">MatMult_Shell in src/mat/impls/shell/shell.c</A><BR>
<A HREF="../../../src/mat/impls/shell/shellcnv.c.html#MatMult_CF">MatMult_CF in src/mat/impls/shell/shellcnv.c</A><BR>
<A HREF="../../../src/mat/impls/submat/submat.c.html#MatMult_SubMatrix">MatMult_SubMatrix in src/mat/impls/submat/submat.c</A><BR>
<A HREF="../../../src/mat/impls/transpose/htransm.c.html#MatMult_HT">MatMult_HT in src/mat/impls/transpose/htransm.c</A><BR>
<A HREF="../../../src/mat/impls/transpose/transm.c.html#MatMult_Transpose">MatMult_Transpose in src/mat/impls/transpose/transm.c</A><BR>
<BR><A HREF="./index.html">Index of all Mat routines</A>
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