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# MatSolveTransposeAdd
Computes x = y + inv(Transpose(A)) b, given a factored matrix. 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatSolveTransposeAdd(Mat mat, Vec b, Vec y, Vec x)
```
Neighbor-wise Collective


## Input Parameters

- ***mat -*** the factored matrix
- ***b -*** the right-hand-side vector
- ***y -*** the vector to be added to



## Output Parameter

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





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


## See Also
 [](ch_matrices), `Mat`, `MatGetFactor()`, `MatSolve()`, `MatSolveAdd()`, `MatSolveTranspose()`

## Level
developer

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

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aijfact.c.html#MatSolveTransposeAdd_SeqAIJ">MatSolveTransposeAdd_SeqAIJ in src/mat/impls/aij/seq/aijfact.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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