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# MatMatSolveTranspose
Solves A^T X = B, given a factored matrix. 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatMatSolveTranspose(Mat A, Mat B, Mat X)
```
Neighbor-wise Collective


## Input Parameters

- ***A -*** the factored matrix
- ***B -*** the right-hand-side matrix  (`MATDENSE` matrix)



## Output Parameter

- ***X -*** the result matrix (dense matrix)





## Note
The matrices `B` and `X` cannot be the same.  I.e., one cannot
call `MatMatSolveTranspose`(A,X,X).


## See Also
 [](ch_matrices), `Mat`, [Matrix Factorization](sec_matfactor), `MatGetFactor()`, `MatSolveTranspose()`, `MatMatSolve()`, `MatLUFactor()`, `MatCholeskyFactor()`

## Level
developer

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

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/mpi/mumps/mumps.c.html#MatMatSolveTranspose_MUMPS">MatMatSolveTranspose_MUMPS in src/mat/impls/aij/mpi/mumps/mumps.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/spqr/aijspqr.c.html#MatMatSolveTranspose_SPQR">MatMatSolveTranspose_SPQR in src/mat/impls/aij/seq/spqr/aijspqr.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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