• UF Sparse Matrix Collection
  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
  • Click here for a list of all matrices
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  • Matrix: GHS_indef/darcy003
  • Description: DISCRETIZATION USING MIXED FE OF DARCY. ARIOLI AND MANZINI 2002.
  • download as a MATLAB mat-file, file size: 11 MB. Use UFget(1232) or UFget('GHS_indef/darcy003') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    GHS_indef/darcy003

    dmperm of GHS_indef/darcy003

    scc of GHS_indef/darcy003

    GHS_indef/darcy003 graph

    Matrix properties
    number of rows389,874
    number of columns389,874
    nonzeros2,097,566
    structural full rank?yes
    structural rank389,874
    # of blocks from dmperm920
    # strongly connected comp.920
    entries not in dmperm blocks0
    explicit zero entries3,676
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorM. Arioli, G. Manzini
    editorN. Gould, Y. Hu, J. Scott
    date2002
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,782,318 5,097,961 15,067,790
    Cholesky flop count8.5e+08 4.5e+08 3.2e+09
    nnz(L+U), no partial pivoting11,174,762 9,806,048 29,745,706
    nnz(V) for QR, upper bound nnz(L) for LU20,391,309 15,948,626 15,669,974
    nnz(R) for QR, upper bound nnz(U) for LU49,113,764 40,256,547 39,961,731

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3676 explicit zero entries.

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.