Matrix: HB/mcfe

Description: U NON-LTE PROBLEM ASTROPHYSICS.CODE:M.CARLSSON, ATOM='FE ATMOS=M65GXM.

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

HB/mcfe dmperm of HB/mcfe

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  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 144 KB. Use UFget(213) or UFget('HB/mcfe') in MATLAB.
  • download in Matrix Market format, file size: 196 KB.
  • download in Rutherford/Boeing format, file size: 158 KB.

    Matrix properties
    number of rows765
    number of columns765
    nonzeros24,382
    structural full rank?yes
    structural rank765
    # of blocks from dmperm5
    # strongly connected comp.5
    explicit zero entries0
    nonzero pattern symmetry 70%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Carlsson
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD45,468
    Cholesky flop count4.8e+06
    nnz(L+U), no partial pivoting, with AMD90,171
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD23,580
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD79,011

    SVD-based statistics:
    norm(A)1.34762e+17
    min(svd(A))3176.99
    cond(A)4.24182e+13
    rank(A)759
    sprank(A)-rank(A)6
    null space dimension6
    full numerical rank?no
    singular value gap2.75185

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

    HB/mcfe 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.