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# MatFactorSolveSchurComplement
Solve the Schur complement system computed during the factorization step 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatFactorSolveSchurComplement(Mat F, Vec rhs, Vec sol)
```
Logically Collective


## Input Parameters

- ***F -*** the factored matrix obtained by calling `MatGetFactor()`
- ***rhs -*** location where the right hand side of the Schur complement system is stored
- ***sol -*** location where the solution of the Schur complement system has to be returned





## Notes
The sizes of the vectors should match the size of the Schur complement

Must be called after `MatFactorSetSchurIS()`


## See Also
 [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorSetSchurIS()`, `MatFactorSolveSchurComplementTranspose()`

## Level
advanced

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


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