• UF Sparse Matrix Collection
  • Matrix group: Schenk_IBMSDS
  • Click here for a description of the Schenk_IBMSDS group.
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  • Matrix: Schenk_IBMSDS/2D_54019_highK
  • Description: Olaf Schenk, Univ. Basel: IBM TJ Watson, Yorktown, semiconductor device
  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(955) or UFget('Schenk_IBMSDS/2D_54019_highK') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Schenk_IBMSDS/2D_54019_highK

    dmperm of Schenk_IBMSDS/2D_54019_highK

    Schenk_IBMSDS/2D_54019_highK graph

    Matrix properties
    number of rows54,019
    number of columns54,019
    nonzeros486,129
    structural full rank?yes
    structural rank54,019
    # of blocks from dmperm7,157
    # strongly connected comp.7,157
    entries not in dmperm blocks1,042
    explicit zero entries510,285
    nonzero pattern symmetry 100%
    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 54019-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))4,228,992 3,077,518 3,104,269
    Cholesky flop count9.9e+08 5.1e+08 5.1e+08
    nnz(L+U), no partial pivoting8,403,965 6,101,017 6,155,561
    nnz(V) for QR, upper bound nnz(L) for LU5,284,916 4,944,538 5,059,364
    nnz(R) for QR, upper bound nnz(U) for LU9,900,924 9,422,584 9,612,365

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 510285 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.