MatSolve#

Solves A x = b, given a factored matrix.

Synopsis#

#include "petscmat.h" 
PetscErrorCode MatSolve(Mat mat, Vec b, Vec x)

Neighbor-wise Collective

Input Parameters#

  • mat - the factored matrix

  • b - the right-hand-side vector

Output Parameter#

  • x - the result vector

Notes#

The vectors b and x cannot be the same. I.e., one cannot call MatSolve(A,x,x).

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().

See Also#

Matrix Factorization, MatGetFactor(), MatLUFactor(), MatSolveAdd(), MatSolveTranspose(), MatSolveTransposeAdd()

Level#

developer

Location#

src/mat/interface/matrix.c

Examples#

src/tao/unconstrained/tutorials/eptorsion1.c.html
src/tao/unconstrained/tutorials/eptorsion3.c.html
src/tao/unconstrained/tutorials/rosenbrock1.c.html

Implementations#

MatSolve_SparseElemental in src/mat/impls/aij/mpi/clique/clique.cxx
MatSolve_MUMPS in src/mat/impls/aij/mpi/mumps/mumps.c
MatSolve_PaStiX in src/mat/impls/aij/mpi/pastix/pastix.c
MatSolve_STRUMPACK in src/mat/impls/aij/mpi/strumpack/strumpack.c
MatSolve_SeqAIJ in src/mat/impls/aij/seq/aijfact.c
MatSolve_Essl in src/mat/impls/aij/seq/essl/essl.c
MatSolve_KLU in src/mat/impls/aij/seq/klu/klu.c
MatSolve_SeqAIJKokkos in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx
MatSolve_LUSOL in src/mat/impls/aij/seq/lusol/lusol.c
MatSolve_Matlab in src/mat/impls/aij/seq/matlab/aijmatlab.c
MatSolve_SeqAIJCUSPARSE in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatSolve_SeqAIJCUSPARSEBAND in src/mat/impls/aij/seq/seqcusparse/aijcusparseband.cu
MatSolve_SeqAIJHIPSPARSE in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c
MatSolve_SeqAIJHIPSPARSEBAND in src/mat/impls/aij/seq/seqhipsparse/aijhipsparseband.hip.c
MatSolve_SPQR in src/mat/impls/aij/seq/spqr/aijspqr.c
MatSolve_SuperLU in src/mat/impls/aij/seq/superlu/superlu.c
MatSolve_UMFPACK in src/mat/impls/aij/seq/umfpack/umfpack.c
MatSolve_Elemental in src/mat/impls/elemental/matelem.cxx
MatSolve_CHOLMOD in src/mat/impls/sbaij/seq/cholmod/sbaijcholmod.c
MatSolve_ScaLAPACK in src/mat/impls/scalapack/matscalapack.c


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Index of all manual pages