Matrix: Grund/bayer05

Description: Unsymmetric Matrix bayer05, Bayer AG, F. Grund, Oct 1995.

Grund/bayer05 graph Grund/bayer05 graph
(bipartite graph drawing) (graph drawing of A+A')


Grund/bayer05 dmperm of Grund/bayer05

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 66 KB. Use UFget(456) or UFget('Grund/bayer05') in MATLAB.
  • download in Matrix Market format, file size: 128 KB.
  • download in Rutherford/Boeing format, file size: 88 KB.

    Matrix properties
    number of rows3,268
    number of columns3,268
    nonzeros20,712
    structural full rank?yes
    structural rank3,268
    # of blocks from dmperm3,037
    # strongly connected comp.1
    explicit zero entries7,124
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorBayer
    editorF. Grund
    date1997
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD555,007
    Cholesky flop count3.1e+08
    nnz(L+U), no partial pivoting, with AMD1,106,746
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD92,975
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD199,278

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7124 explicit zero entries.

    SVD-based statistics:
    norm(A)2.49724e+12
    min(svd(A))1.27421e-18
    cond(A)1.95984e+30
    rank(A)1,666
    sprank(A)-rank(A)1,602
    null space dimension1,602
    full numerical rank?no
    singular value gap1.01109

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

    Grund/bayer05 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.