Matrix: Schenk_IBMSDS/matrix-new_3

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

Schenk_IBMSDS/matrix-new_3 graph Schenk_IBMSDS/matrix-new_3 graph
(bipartite graph drawing) (graph drawing of A+A')

Schenk_IBMSDS/matrix-new_3 dmperm of Schenk_IBMSDS/matrix-new_3

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  • Matrix group: Schenk_IBMSDS
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  • download as a MATLAB mat-file, file size: 9 MB. Use UFget(960) or UFget('Schenk_IBMSDS/matrix-new_3') in MATLAB.
  • download in Matrix Market format, file size: 12 MB.
  • download in Rutherford/Boeing format, file size: 8 MB.

    Matrix properties
    number of rows125,329
    number of columns125,329
    nonzeros893,984
    structural full rank?yes
    structural rank125,329
    # of blocks from dmperm46,658
    # strongly connected comp.46,658
    explicit zero entries1,784,766
    nonzero pattern symmetry 99%
    numeric value symmetry 28%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 125329-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD31,826,571
    Cholesky flop count3.8e+10
    nnz(L+U), no partial pivoting, with AMD63,527,813
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD66,933,851
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD123,710,393

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1784766 explicit zero entries.

    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.