Matrix: Grund/b_dyn

Description: Unsymmetric Matrix b_dyn, F. Grund, Dec 1994.

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

Grund/b_dyn dmperm of Grund/b_dyn

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 31 KB. Use UFget(451) or UFget('Grund/b_dyn') in MATLAB.
  • download in Matrix Market format, file size: 31 KB.
  • download in Rutherford/Boeing format, file size: 27 KB.

    Matrix properties
    number of rows1,089
    number of columns1,089
    structural full rank?yes
    structural rank1,089
    # of blocks from dmperm164
    # strongly connected comp.1
    explicit zero entries120
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 1089-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD93,882
    Cholesky flop count2.1e+07
    nnz(L+U), no partial pivoting, with AMD186,675
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD4,316
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,855

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 120 explicit zero entries.

    SVD-based statistics:
    null space dimension61
    full numerical rank?no
    singular value gap14.0999

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

    Grund/b_dyn 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.