:orphan:
# MatSetNearNullSpace
attaches a null space to a matrix, which is often the null space (rigid body modes) of the operator without boundary conditions This null space will be used to provide near null space vectors to a multigrid preconditioner built from this matrix.
## Synopsis
```
#include "petscmat.h"
PetscErrorCode MatSetNearNullSpace(Mat mat, MatNullSpace nullsp)
```
Logically Collective
## Input Parameters
- ***mat -*** the matrix
- ***nullsp -*** the null space object
## Notes
Overwrites any previous near null space that may have been attached
You can remove the null space by calling this routine with an nullsp of `NULL`
## See Also
[](ch_matrices), `Mat`, `MatNullSpace`, `MatCreate()`, `MatNullSpaceCreate()`, `MatSetNullSpace()`, `MatNullSpaceCreateRigidBody()`, `MatGetNearNullSpace()`
## Level
advanced
## Location
src/mat/interface/matrix.c
## Examples
src/ksp/ksp/tutorials/ex49.c
src/ksp/ksp/tutorials/ex56.c
src/ksp/ksp/tutorials/ex59.c
src/ksp/ksp/tutorials/ex71.c
src/ksp/ksp/tutorials/ex72.c
src/snes/tutorials/ex56.c
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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/mat/interface/matrix.c)
[Index of all Mat routines](index.md)
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[Index of all manual pages](/manualpages/singleindex.md)