# MatSolveTranspose
Solves A' x = b, given a factored matrix. 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatSolveTranspose(Mat mat, Vec b, Vec x)
```
Neighbor-wise Collective on mat


## Input Parameters

- ***mat -*** the factored matrix
- ***b -*** the right-hand-side vector



## Output Parameter

- ***x -*** the result vector



## Notes
The vectors b and x cannot be the same.  I.e., one cannot
call `MatSolveTranspose`(A,x,x).

Most users should employ the `KSP` interface for linear solvers
instead of working directly with matrix algebra routines such as this.
See, e.g., `KSPCreate()`.




## See Also
 `MatGetFactor()`, `KSP`, `MatSolve()`, `MatSolveAdd()`, `MatSolveTransposeAdd()`

## Level
developer

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

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/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="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aijfact.c.html#MatSolveTranspose_SeqAIJ">MatSolveTranspose_SeqAIJ in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/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="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatSolveTranspose_SeqAIJKokkos">MatSolveTranspose_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#MatSolveTranspose_SeqAIJCUSPARSE">MatSolveTranspose_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#MatSolveTranspose_SeqAIJHIPSPARSE">MatSolveTranspose_SeqAIJHIPSPARSE in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/spqr/aijspqr.c.html#MatSolveTranspose_SPQR">MatSolveTranspose_SPQR in src/mat/impls/aij/seq/spqr/aijspqr.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/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="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/umfpack/umfpack.c.html#MatSolveTranspose_UMFPACK">MatSolveTranspose_UMFPACK in src/mat/impls/aij/seq/umfpack/umfpack.c</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/mat/interface/matrix.c)


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