MatCholeskyFactorSymbolic#

Performs symbolic Cholesky factorization of a symmetric matrix.

Synopsis#

#include "petscmat.h" 
PetscErrorCode MatCholeskyFactorSymbolic(Mat fact, Mat mat, IS perm, const MatFactorInfo *info)

Collective

Input Parameters#

  • fact - the factor matrix obtained with MatGetFactor()

  • mat - the matrix

  • perm - row and column permutations

  • info - options for factorization, includes

          fill - expected fill as ratio of original fill.
          dtcol - pivot tolerance (0 no pivot, 1 full column pivoting)
                   Run with the option -info to determine an optimal value to use

Notes#

See MatLUFactorSymbolic() for the nonsymmetric case. See also MatCholeskyFactor() and MatCholeskyFactorNumeric().

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#

Matrices, Mat, Matrix Factorization, MatFactorInfo, MatGetFactor(), MatLUFactorSymbolic(), MatCholeskyFactor(), MatCholeskyFactorNumeric() MatGetOrdering()

Level#

developer

Location#

src/mat/interface/matrix.c

Implementations#

MatCholeskyFactorSymbolic_MUMPS() in src/mat/impls/aij/mpi/mumps/mumps.c
MatCholeskyFactorSymbolic_SBAIJPASTIX() in src/mat/impls/aij/mpi/pastix/pastix.c
MatCholeskyFactorSymbolic_SuperLU_DIST() in src/mat/impls/aij/mpi/superlu_dist/superlu_dist.c
MatCholeskyFactorSymbolic_SeqAIJ() in src/mat/impls/aij/seq/aijfact.c
MatCholeskyFactorSymbolic_SeqAIJCUSPARSE() in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatCholeskyFactorSymbolic_SeqAIJHIPSPARSE() in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c
MatCholeskyFactorSymbolic_SeqBAIJ() in src/mat/impls/baij/seq/baijfact.c
MatCholeskyFactorSymbolic_SeqDense() in src/mat/impls/dense/seq/dense.c
MatCholeskyFactorSymbolic_Elemental() in src/mat/impls/elemental/matelem.cxx
MatCholeskyFactorSymbolic_CHOLMOD() in src/mat/impls/sbaij/seq/cholmod/sbaijcholmod.c
MatCholeskyFactorSymbolic_SeqSBAIJ() in src/mat/impls/sbaij/seq/sbaijfact.c
MatCholeskyFactorSymbolic_ScaLAPACK() in src/mat/impls/scalapack/matscalapack.c


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