Matrix: HB/fs_760_3

Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX

HB/fs_760_3 graph HB/fs_760_3 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/fs_760_3 dmperm of HB/fs_760_3

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 47 KB. Use UFget(154) or UFget('HB/fs_760_3') in MATLAB.
  • download in Matrix Market format, file size: 53 KB.
  • download in Rutherford/Boeing format, file size: 50 KB.

    Matrix properties
    number of rows760
    number of columns760
    nonzeros5,816
    structural full rank?yes
    structural rank760
    # of blocks from dmperm17
    # strongly connected comp.17
    explicit zero entries160
    nonzero pattern symmetry 65%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Curtis
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindsubsequent 2D/3D problem
    2D/3D problem?yes

    Notes:

    next: - first: HB/fs_760_1
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD14,455
    Cholesky flop count3.9e+05
    nnz(L+U), no partial pivoting, with AMD28,150
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD18,178
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD34,184

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 160 explicit zero entries.

    SVD-based statistics:
    norm(A)3.09787e+08
    min(svd(A))3.11917e-12
    cond(A)9.93172e+19
    rank(A)381
    sprank(A)-rank(A)379
    null space dimension379
    full numerical rank?no
    singular value gap1.1497

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

    HB/fs_760_3 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.