Matrix: Schenk_IBMSDS/3D_28984_Tetra

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

Schenk_IBMSDS/3D_28984_Tetra graph Schenk_IBMSDS/3D_28984_Tetra graph
(bipartite graph drawing) (graph drawing of A+A')

Schenk_IBMSDS/3D_28984_Tetra dmperm of Schenk_IBMSDS/3D_28984_Tetra

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  • Matrix group: Schenk_IBMSDS
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(956) or UFget('Schenk_IBMSDS/3D_28984_Tetra') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows28,984
    number of columns28,984
    structural full rank?yes
    structural rank28,984
    # of blocks from dmperm5,439
    # strongly connected comp.5,439
    explicit zero entries314,078
    nonzero pattern symmetry 99%
    numeric value symmetry 36%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 28984-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD6,646,202
    Cholesky flop count4.0e+09
    nnz(L+U), no partial pivoting, with AMD13,263,420
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,104,405
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD15,049,119

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 314078 explicit zero entries.

    SVD-based statistics:
    null space dimension28,138
    full numerical rank?no
    singular value gap1.59194e+06

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

    Schenk_IBMSDS/3D_28984_Tetra 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.