Schenk_IBMSDS/ibm_matrix_2 graph

Matrix: Schenk_IBMSDS/ibm_matrix_2

Description: Olaf Schenk, Univ. Basel: IBM TJ Watson, Yorktown, semiconductor device

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  • Matrix group: Schenk_IBMSDS
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(958) or UFget('Schenk_IBMSDS/ibm_matrix_2') in MATLAB.
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    Schenk_IBMSDS/ibm_matrix_2

    dmperm of Schenk_IBMSDS/ibm_matrix_2

    Matrix properties
    number of rows51,448
    number of columns51,448
    nonzeros537,038
    structural full rank?yes
    structural rank51,448
    # of blocks from dmperm6,627
    # strongly connected comp.6,627
    entries not in dmperm blocks9,252
    explicit zero entries519,572
    nonzero pattern symmetry 99%
    numeric value symmetry 19%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2003
    kindsemiconductor device problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 51448-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))18,440,767 13,269,125 13,072,887
    Cholesky flop count2.1e+10 1.2e+10 1.2e+10
    nnz(L+U), no partial pivoting36,830,086 26,486,802 26,103,578
    nnz(V) for QR, upper bound nnz(L) for LU39,167,389 25,242,708 23,835,150
    nnz(R) for QR, upper bound nnz(U) for LU75,227,823 46,541,580 43,995,345

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 519572 explicit zero entries.

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.