Matrix: Schenk_IBMSDS/3D_51448_3D

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

Schenk_IBMSDS/3D_51448_3D graph Schenk_IBMSDS/3D_51448_3D graph
(bipartite graph drawing) (graph drawing of A+A')

Schenk_IBMSDS/3D_51448_3D dmperm of Schenk_IBMSDS/3D_51448_3D

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  • Matrix group: Schenk_IBMSDS
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(957) or UFget('Schenk_IBMSDS/3D_51448_3D') in MATLAB.
  • download in Matrix Market format, file size: 6 MB.
  • download in Rutherford/Boeing format, file size: 5 MB.

    Matrix properties
    number of rows51,448
    number of columns51,448
    structural full rank?yes
    structural rank51,448
    # of blocks from dmperm6,627
    # strongly connected comp.6,627
    explicit zero entries519,572
    nonzero pattern symmetry 99%
    numeric value symmetry 19%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 51448-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD18,440,767
    Cholesky flop count2.1e+10
    nnz(L+U), no partial pivoting, with AMD36,830,086
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD39,167,389
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD75,227,823

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