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# KSPMatSolve
Solves a linear system with multiple right-hand sides stored as a `MATDENSE`. Unlike `KSPSolve()`, `B` and `X` must be different matrices.
## Synopsis
```
#include "petscksp.h"
#include "petscmat.h"
PetscErrorCode KSPMatSolve(KSP ksp, Mat B, Mat X)
```
## Input Parameters
- ***ksp -*** iterative context
- ***B -*** block of right-hand sides
## Output Parameter
- ***X -*** block of solutions
## Notes
This is a stripped-down version of `KSPSolve()`, which only handles `-ksp_view`, `-ksp_converged_reason`, `-ksp_converged_rate`, and `-ksp_view_final_residual`.
## See Also
[](ch_ksp), `KSPSolve()`, `MatMatSolve()`, `KSPMatSolveTranspose()`, `MATDENSE`, `KSPHPDDM`, `PCBJACOBI`, `PCASM`
## Level
intermediate
## Location
src/ksp/ksp/interface/itfunc.c
## Examples
src/ksp/ksp/tutorials/ex76.c
src/ksp/ksp/tutorials/ex76f.F90
src/ksp/ksp/tutorials/ex77.c
src/ksp/ksp/tutorials/ex77f.F90
src/ksp/ksp/tutorials/ex79.c
## Implementations
KSPMatSolve_HPDDM in src/ksp/ksp/impls/hpddm/hpddm.cxx
KSPMatSolve_PREONLY in src/ksp/ksp/impls/preonly/preonly.c
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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/ksp/ksp/interface/itfunc.c)
[Index of all KSP routines](index.md)
[Table of Contents for all manual pages](/manualpages/index.md)
[Index of all manual pages](/manualpages/singleindex.md)