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#

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

Level#

developer

Location#

src/mat/interface/matrix.c

Examples#

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

Implementations#

MatSolve_MKL_CPARDISO() in src/mat/impls/aij/mpi/mkl_cpardiso/mkl_cpardiso.c
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_SuperLU_DIST() in src/mat/impls/aij/mpi/superlu_dist/superlu_dist.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_MKL_PARDISO() in src/mat/impls/aij/seq/mkl_pardiso/mkl_pardiso.c
MatSolve_SeqAIJCUSPARSE() in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatSolve_SeqAIJHIPSPARSE() in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.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_ConstantDiagonal() in src/mat/impls/cdiagonal/cdiagonal.c
MatSolve_Diagonal() in src/mat/impls/diagonal/diagonal.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


Index of all Mat routines
Table of Contents for all manual pages
Index of all manual pages