Matrix: HB/fs_760_2

Description: UNSYMMETRIC FACSIMILE CONVERGENCE MATRIX

HB/fs_760_2 graph HB/fs_760_2 graph
(bipartite graph drawing) (graph drawing of A+A')

HB/fs_760_2 dmperm of HB/fs_760_2

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 47 KB. Use UFget(153) or UFget('HB/fs_760_2') in MATLAB.
  • download in Matrix Market format, file size: 54 KB.
  • download in Rutherford/Boeing format, file size: 51 KB.

    Matrix properties
    number of rows760
    number of columns760
    nonzeros5,739
    structural full rank?yes
    structural rank760
    # of blocks from dmperm17
    # strongly connected comp.17
    explicit zero entries237
    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: HB/fs_760_3 first: HB/fs_760_1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD14,263
    Cholesky flop count3.8e+05
    nnz(L+U), no partial pivoting, with AMD27,766
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD19,199
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD35,804

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 237 explicit zero entries.

    SVD-based statistics:
    norm(A)3.09787e+08
    min(svd(A))2.06627e-08
    cond(A)1.49926e+16
    rank(A)411
    sprank(A)-rank(A)349
    null space dimension349
    full numerical rank?no
    singular value gap1.00851

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

    HB/fs_760_2 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.