Matrix: Grund/bayer08

Description: Unsymmetric Matrix bayer08, Bayer AG, F. Grund, Oct 1995.

Grund/bayer08 graph Grund/bayer08 graph
(bipartite graph drawing) (graph drawing of A+A')

Grund/bayer08 dmperm of Grund/bayer08

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Grund
  • Click here for a description of the Grund group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 66 KB. Use UFget(459) or UFget('Grund/bayer08') in MATLAB.
  • download in Matrix Market format, file size: 131 KB.
  • download in Rutherford/Boeing format, file size: 89 KB.

    Matrix properties
    number of rows3,008
    number of columns3,008
    structural full rank?yes
    structural rank3,008
    # of blocks from dmperm1,273
    # strongly connected comp.1
    explicit zero entries6,878
    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 AMD589,860
    Cholesky flop count3.5e+08
    nnz(L+U), no partial pivoting, with AMD1,176,712
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD109,791
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD193,751

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6878 explicit zero entries.

    SVD-based statistics:
    null space dimension445
    full numerical rank?no
    singular value gap1.00037

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

    Grund/bayer08 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.