Matrix: HB/fs_541_4

Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX

HB/fs_541_4 graph HB/fs_541_4 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/fs_541_4 dmperm of HB/fs_541_4

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 36 KB. Use UFget(148) or UFget('HB/fs_541_4') in MATLAB.
  • download in Matrix Market format, file size: 43 KB.
  • download in Rutherford/Boeing format, file size: 38 KB.

    Matrix properties
    number of rows541
    number of columns541
    nonzeros4,273
    structural full rank?yes
    structural rank541
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries12
    nonzero pattern symmetry 68%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Curtis
    editorA. Curtis, I. Duff, J. Reid
    date1978
    kindsubsequent 2D/3D problem
    2D/3D problem?yes

    Notes:

    next: - first: HB/fs_541_1
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,095
    Cholesky flop count1.1e+05
    nnz(L+U), no partial pivoting, with AMD13,649
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,827
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD18,285

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 explicit zero entries.

    SVD-based statistics:
    norm(A)1.56068e+06
    min(svd(A))0.000133123
    cond(A)1.17236e+10
    rank(A)541
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    HB/fs_541_4 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.