Matrix: Grund/bayer04

Description: Unsymmetric Matrix bayer04, Bayer AG, F. Grund, Aug 1995.

Grund/bayer04 graph Grund/bayer04 graph
(bipartite graph drawing) (graph drawing of A+A')

Grund/bayer04 dmperm of Grund/bayer04
scc of Grund/bayer04

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 477 KB. Use UFget(455) or UFget('Grund/bayer04') in MATLAB.
  • download in Matrix Market format, file size: 914 KB.
  • download in Rutherford/Boeing format, file size: 682 KB.

    Matrix properties
    number of rows20,545
    number of columns20,545
    structural full rank?yes
    structural rank20,545
    # of blocks from dmperm8,168
    # strongly connected comp.6
    explicit zero entries73,545
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 20545-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD26,089,441
    Cholesky flop count1.2e+11
    nnz(L+U), no partial pivoting, with AMD52,158,337
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD266,355
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD553,570

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 73545 explicit zero entries.

    SVD-based statistics:
    null space dimension5,714
    full numerical rank?no
    singular value gap1.00003

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

    Grund/bayer04 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.