Matrix: Grund/bayer02

Description: Unsymmetric Matrix bayer02, Bayer AG, F. Grund, Mar 1995.

Grund/bayer02 graph Grund/bayer02 graph
(bipartite graph drawing) (graph drawing of A+A')

Grund/bayer02 dmperm of Grund/bayer02

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 383 KB. Use UFget(453) or UFget('Grund/bayer02') in MATLAB.
  • download in Matrix Market format, file size: 577 KB.
  • download in Rutherford/Boeing format, file size: 497 KB.

    Matrix properties
    number of rows13,935
    number of columns13,935
    structural full rank?yes
    structural rank13,935
    # of blocks from dmperm2,226
    # strongly connected comp.1
    explicit zero entries372
    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 13935-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,891,970
    Cholesky flop count4.0e+10
    nnz(L+U), no partial pivoting, with AMD25,770,005
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD161,526
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD323,903

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 372 explicit zero entries.

    SVD-based statistics:
    null space dimension1,325
    full numerical rank?no
    singular value gap1.04778

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

    Grund/bayer02 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.