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# MatMultTransposeAdd
Computes v3 = v2 + A' * v1. 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatMultTransposeAdd(Mat mat, Vec v1, Vec v2, Vec v3)
```
Neighbor-wise Collective


## Input Parameters

- ***mat -*** the matrix
- ***v1 -*** the vector to be multiplied by the transpose of the matrix
- ***v2 -*** the vector to be added to the result



## Output Parameter

- ***v3 -*** the result





## Note
The vectors `v1` and `v3` cannot be the same.  I.e., one cannot
call `MatMultTransposeAdd`(A,v1,v2,v1).


## See Also
 [](ch_matrices), `Mat`, `MatMultTranspose()`, `MatMultAdd()`, `MatMult()`

## Level
beginner

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/interface/matrix.c.html#MatMultTransposeAdd">src/mat/interface/matrix.c</A>

## Examples
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/tutorials/ex2.c.html">src/mat/tutorials/ex2.c</A><BR>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/mpi/mpiaij.c.html#MatMultTransposeAdd_MPIAIJ">MatMultTransposeAdd_MPIAIJ in src/mat/impls/aij/mpi/mpiaij.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aij.c.html#MatMultTransposeAdd_SeqAIJ">MatMultTransposeAdd_SeqAIJ in src/mat/impls/aij/seq/aij.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aijmkl/aijmkl.c.html#MatMultTransposeAdd_SeqAIJMKL">MatMultTransposeAdd_SeqAIJMKL in src/mat/impls/aij/seq/aijmkl/aijmkl.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aijsell/aijsell.c.html#MatMultTransposeAdd_SeqAIJSELL">MatMultTransposeAdd_SeqAIJSELL in src/mat/impls/aij/seq/aijsell/aijsell.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatMultTransposeAdd_SeqAIJKokkos">MatMultTransposeAdd_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatMultTransposeAdd_SeqAIJCUSPARSE">MatMultTransposeAdd_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c.html#MatMultTransposeAdd_SeqAIJHIPSPARSE">MatMultTransposeAdd_SeqAIJHIPSPARSE in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/baij/mpi/mpibaij.c.html#MatMultTransposeAdd_MPIBAIJ">MatMultTransposeAdd_MPIBAIJ in src/mat/impls/baij/mpi/mpibaij.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/baij/seq/baij2.c.html#MatMultTransposeAdd_SeqBAIJ">MatMultTransposeAdd_SeqBAIJ in src/mat/impls/baij/seq/baij2.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/blockmat/seq/blockmat.c.html#MatMultTransposeAdd_BlockMat">MatMultTransposeAdd_BlockMat in src/mat/impls/blockmat/seq/blockmat.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/cdiagonal/cdiagonal.c.html#MatMultTransposeAdd_ConstantDiagonal">MatMultTransposeAdd_ConstantDiagonal in src/mat/impls/cdiagonal/cdiagonal.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/composite/mcomposite.c.html#MatMultTransposeAdd_Composite">MatMultTransposeAdd_Composite in src/mat/impls/composite/mcomposite.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/dense/mpi/mpidense.c.html#MatMultTransposeAdd_MPIDense">MatMultTransposeAdd_MPIDense in src/mat/impls/dense/mpi/mpidense.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/dense/seq/dense.c.html#MatMultTransposeAdd_SeqDense">MatMultTransposeAdd_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/elemental/matelem.cxx.html#MatMultTransposeAdd_Elemental">MatMultTransposeAdd_Elemental in src/mat/impls/elemental/matelem.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/h2opus/cuda/math2opus.cu.html#MatMultTransposeAdd_H2OPUS">MatMultTransposeAdd_H2OPUS in src/mat/impls/h2opus/cuda/math2opus.cu</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/hypre/mhypre.c.html#MatMultTransposeAdd_HYPRE">MatMultTransposeAdd_HYPRE in src/mat/impls/hypre/mhypre.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/is/matis.c.html#MatMultTransposeAdd_IS">MatMultTransposeAdd_IS in src/mat/impls/is/matis.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/nest/matnest.c.html#MatMultTransposeAdd_Nest">MatMultTransposeAdd_Nest in src/mat/impls/nest/matnest.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/normal/normm.c.html#MatMultTransposeAdd_Normal">MatMultTransposeAdd_Normal in src/mat/impls/normal/normm.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/scalapack/matscalapack.c.html#MatMultTransposeAdd_ScaLAPACK">MatMultTransposeAdd_ScaLAPACK in src/mat/impls/scalapack/matscalapack.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/scatter/mscatter.c.html#MatMultTransposeAdd_Scatter">MatMultTransposeAdd_Scatter in src/mat/impls/scatter/mscatter.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/sell/mpi/mpisell.c.html#MatMultTransposeAdd_MPISELL">MatMultTransposeAdd_MPISELL in src/mat/impls/sell/mpi/mpisell.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/sell/seq/sell.c.html#MatMultTransposeAdd_SeqSELL">MatMultTransposeAdd_SeqSELL in src/mat/impls/sell/seq/sell.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/shell/shell.c.html#MatMultTransposeAdd_Shell">MatMultTransposeAdd_Shell in src/mat/impls/shell/shell.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/submat/submat.c.html#MatMultTransposeAdd_SubMatrix">MatMultTransposeAdd_SubMatrix in src/mat/impls/submat/submat.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/transpose/transm.c.html#MatMultTransposeAdd_Transpose">MatMultTransposeAdd_Transpose in src/mat/impls/transpose/transm.c</A><BR>


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