Matrix: Grund/bayer07

Description: Unsymmetric Matrix bayer07, Bayer AG, F. Grund, Oct 1995.

Grund/bayer07 graph Grund/bayer07 graph
(bipartite graph drawing) (graph drawing of A+A')

Grund/bayer07 dmperm of Grund/bayer07

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 66 KB. Use UFget(458) or UFget('Grund/bayer07') in MATLAB.
  • download in Matrix Market format, file size: 130 KB.
  • download in Rutherford/Boeing format, file size: 90 KB.

    Matrix properties
    number of rows3,268
    number of columns3,268
    structural full rank?yes
    structural rank3,268
    # of blocks from dmperm3,037
    # strongly connected comp.1
    explicit zero entries6,873
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    editorF. Grund
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD614,071
    Cholesky flop count3.9e+08
    nnz(L+U), no partial pivoting, with AMD1,224,874
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD101,534
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD196,682

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6873 explicit zero entries.

    SVD-based statistics:
    null space dimension1,602
    full numerical rank?no
    singular value gap1.01108

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

    Grund/bayer07 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.