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# 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


## 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
 [](ch_matrices), `Mat`, [Matrix Factorization](sec_matfactor), `MatGetFactor()`, `MatFactorInfo`, `MatLUFactorSymbolic()`, `MatLUFactor()`, `MatCholeskyFactor()`

## Level
developer

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

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/mpi/strumpack/strumpack.c.html#MatLUFactorNumeric_STRUMPACK">MatLUFactorNumeric_STRUMPACK in src/mat/impls/aij/mpi/strumpack/strumpack.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/aijfact.c.html#MatLUFactorNumeric_SeqAIJ">MatLUFactorNumeric_SeqAIJ in src/mat/impls/aij/seq/aijfact.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/essl/essl.c.html#MatLUFactorNumeric_Essl">MatLUFactorNumeric_Essl in src/mat/impls/aij/seq/essl/essl.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/klu/klu.c.html#MatLUFactorNumeric_KLU">MatLUFactorNumeric_KLU in src/mat/impls/aij/seq/klu/klu.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatLUFactorNumeric_SeqAIJKokkos">MatLUFactorNumeric_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx.html#MatLUFactorNumeric_SeqAIJKOKKOSDEVICE">MatLUFactorNumeric_SeqAIJKOKKOSDEVICE in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/lusol/lusol.c.html#MatLUFactorNumeric_LUSOL">MatLUFactorNumeric_LUSOL in src/mat/impls/aij/seq/lusol/lusol.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/matlab/aijmatlab.c.html#MatLUFactorNumeric_Matlab">MatLUFactorNumeric_Matlab in src/mat/impls/aij/seq/matlab/aijmatlab.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu.html#MatLUFactorNumeric_SeqAIJCUSPARSE">MatLUFactorNumeric_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqcusparse/aijcusparseband.cu.html#MatLUFactorNumeric_SeqAIJCUSPARSEBAND">MatLUFactorNumeric_SeqAIJCUSPARSEBAND in src/mat/impls/aij/seq/seqcusparse/aijcusparseband.cu</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c.html#MatLUFactorNumeric_SeqAIJHIPSPARSE">MatLUFactorNumeric_SeqAIJHIPSPARSE in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/seqhipsparse/aijhipsparseband.hip.c.html#MatLUFactorNumeric_SeqAIJHIPSPARSEBAND">MatLUFactorNumeric_SeqAIJHIPSPARSEBAND in src/mat/impls/aij/seq/seqhipsparse/aijhipsparseband.hip.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/superlu/superlu.c.html#MatLUFactorNumeric_SuperLU">MatLUFactorNumeric_SuperLU in src/mat/impls/aij/seq/superlu/superlu.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/aij/seq/umfpack/umfpack.c.html#MatLUFactorNumeric_UMFPACK">MatLUFactorNumeric_UMFPACK in src/mat/impls/aij/seq/umfpack/umfpack.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/dense/seq/dense.c.html#MatLUFactorNumeric_SeqDense">MatLUFactorNumeric_SeqDense in src/mat/impls/dense/seq/dense.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/elemental/matelem.cxx.html#MatLUFactorNumeric_Elemental">MatLUFactorNumeric_Elemental in src/mat/impls/elemental/matelem.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/scalapack/matscalapack.c.html#MatLUFactorNumeric_ScaLAPACK">MatLUFactorNumeric_ScaLAPACK in src/mat/impls/scalapack/matscalapack.c</A><BR>


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