Matrix: Grund/bayer03

Description: Unsymmetric Matrix bayer03, Bayer AG, F. Grund, Mar 1995.

Grund/bayer03 graph Grund/bayer03 graph
(bipartite graph drawing) (graph drawing of A+A')

Grund/bayer03 dmperm of Grund/bayer03

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 191 KB. Use UFget(454) or UFget('Grund/bayer03') in MATLAB.
  • download in Matrix Market format, file size: 345 KB.
  • download in Rutherford/Boeing format, file size: 259 KB.

    Matrix properties
    number of rows6,747
    number of columns6,747
    structural full rank?yes
    structural rank6,747
    # of blocks from dmperm2,419
    # strongly connected comp.1
    explicit zero entries27,001
    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 6747-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,852,631
    Cholesky flop count4.2e+09
    nnz(L+U), no partial pivoting, with AMD5,698,515
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD47,248
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD120,746

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 27001 explicit zero entries.

    SVD-based statistics:
    null space dimension1,067
    full numerical rank?no
    singular value gap1.22063

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

    Grund/bayer03 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.