MatILUFactorSymbolic#

Performs symbolic ILU factorization of a matrix obtained with MatGetFactor() Uses levels of fill only, not drop tolerance. Use MatLUFactorNumeric() to complete the factorization.

Synopsis#

#include "petscmat.h" 
PetscErrorCode MatILUFactorSymbolic(Mat fact, Mat mat, IS row, IS col, const MatFactorInfo *info)

Collective

Input Parameters#

  • fact - the factorized matrix obtained with MatGetFactor()

  • mat - the matrix

  • row - row permutation

  • col - column permutation

  • info - structure containing

      levels - number of levels of fill.
      expected fill - as ratio of original fill.
      1 or 0 - indicating force fill on diagonal (improves robustness for matrices
                missing diagonal entries)

Notes#

See Matrix Factorization for additional information.

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().

Uses the definition of level of fill as in Y. Saad, [Saa03]

Developer Note#

The Fortran interface is not autogenerated as the interface definition cannot be generated correctly [due to MatFactorInfo]

References#

Saa03

Yousef Saad. Iterative Methods for Sparse Linear Systems. SIAM, 2nd edition, 2003. doi:10.1016/S1570-579X(01)80025-2.

See Also#

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

Level#

developer

Location#

src/mat/interface/matrix.c

Implementations#

MatILUFactorSymbolic_SeqAIJ() in src/mat/impls/aij/seq/aijfact.c
MatILUFactorSymbolic_SeqAIJKokkos() in src/mat/impls/aij/seq/kokkos/aijkok.kokkos.cxx
MatILUFactorSymbolic_SeqAIJCUSPARSE() in src/mat/impls/aij/seq/seqcusparse/aijcusparse.cu
MatILUFactorSymbolic_SeqAIJHIPSPARSE() in src/mat/impls/aij/seq/seqhipsparse/aijhipsparse.hip.c
MatILUFactorSymbolic_SeqBAIJ() in src/mat/impls/baij/seq/baijfact2.c


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