Matrix: GHS_indef/mario001

Description: SMALLER MATRIX FROM MARIO FOR WHICH MA47 ANALYSE IS SLOW

GHS_indef/mario001 graph
(undirected graph drawing)


GHS_indef/mario001 dmperm of GHS_indef/mario001
scc of GHS_indef/mario001

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1240) or UFget('GHS_indef/mario001') in MATLAB.
  • download in Matrix Market format, file size: 738 KB.
  • download in Rutherford/Boeing format, file size: 721 KB.

    Matrix properties
    number of rows38,434
    number of columns38,434
    nonzeros204,912
    structural full rank?yes
    structural rank38,434
    # of blocks from dmperm312
    # strongly connected comp.312
    explicit zero entries1,244
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    author
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD415,067
    Cholesky flop count1.8e+07
    nnz(L+U), no partial pivoting, with AMD791,700
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,193,383
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,904,746

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1244 explicit zero entries.

    SVD-based statistics:
    norm(A)2.6078
    min(svd(A))0.000139406
    cond(A)18706.5
    rank(A)38,434
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))
    status:ok

    GHS_indef/mario001 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.