# MatLUFactorNumeric
Performs numeric LU factorization of a matrix. Call this routine after first calling `MatLUFactorSymbolic()` and `MatGetFactor()`.
## Synopsis
```
#include "petscmat.h"
PetscErrorCode MatLUFactorNumeric(Mat fact, Mat mat, const MatFactorInfo *info)
```
Collective on fact
## Input Parameters
- ***fact -*** the factor matrix obtained with `MatGetFactor()`
- ***mat -*** the matrix
- ***info -*** options for factorization
## Notes
See `MatLUFactor()` for in-place factorization. See
`MatCholeskyFactorNumeric()` for the symmetric, positive definite case.
Most users should employ the `KSP` interface for linear solvers
instead of working directly with matrix algebra routines such as this.
See, e.g., `KSPCreate()`.
## Developer Note
The Fortran interface is not autogenerated as the
interface definition cannot be generated correctly [due to `MatFactorInfo`]
## See Also
`Mat`, [Matrix Factorization](sec_matfactor), `MatGetFactor()`, `MatFactorInfo`, `MatLUFactorSymbolic()`, `MatLUFactor()`, `MatCholeskyFactor()`
## Level
developer
## Location
src/mat/interface/matrix.c
## Implementations
MatLUFactorNumeric_STRUMPACK in src/mat/impls/aij/mpi/strumpack/strumpack.c
MatLUFactorNumeric_SeqAIJ in src/mat/impls/aij/seq/aijfact.c
MatLUFactorNumeric_Essl in src/mat/impls/aij/seq/essl/essl.c
MatLUFactorNumeric_KLU in src/mat/impls/aij/seq/klu/klu.c
MatLUFactorNumeric_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx
MatLUFactorNumeric_SeqAIJKOKKOSDEVICE in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx
MatLUFactorNumeric_LUSOL in src/mat/impls/aij/seq/lusol/lusol.c
MatLUFactorNumeric_Matlab in src/mat/impls/aij/seq/matlab/aijmatlab.c
MatLUFactorNumeric_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatLUFactorNumeric_SeqAIJCUSPARSEBAND in src/mat/impls/aij/seq/seqcusparse/aijcusparseband.cu
MatLUFactorNumeric_SeqAIJHIPSPARSE in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c
MatLUFactorNumeric_SeqAIJHIPSPARSEBAND in src/mat/impls/aij/seq/seqhipsparse/aijhipsparseband.hip.c
MatLUFactorNumeric_SuperLU in src/mat/impls/aij/seq/superlu/superlu.c
MatLUFactorNumeric_UMFPACK in src/mat/impls/aij/seq/umfpack/umfpack.c
MatLUFactorNumeric_SeqDense in src/mat/impls/dense/seq/dense.c
MatLUFactorNumeric_Elemental in src/mat/impls/elemental/matelem.cxx
MatLUFactorNumeric_ScaLAPACK in src/mat/impls/scalapack/matscalapack.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)
[Table of Contents for all manual pages](/docs/manualpages/index.md)
[Index of all manual pages](/docs/manualpages/singleindex.md)