Matrix: HB/man_5976

Description: MANTEUFFEL'S FINITE ELEMENT PROBLEM (CONDENSED)

HB/man_5976 graph
(undirected graph drawing)


HB/man_5976 dmperm of HB/man_5976
scc of HB/man_5976

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 85 KB. Use UFget(1182) or UFget('HB/man_5976') in MATLAB.
  • download in Matrix Market format, file size: 209 KB.
  • download in Rutherford/Boeing format, file size: 72 KB.

    Matrix properties
    number of rows5,976
    number of columns5,976
    nonzeros225,046
    structural full rank?no
    structural rank5,882
    # of blocks from dmperm3
    # strongly connected comp.95
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorT. Manteuffel
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD498,318
    Cholesky flop count6.8e+07
    nnz(L+U), no partial pivoting, with AMD990,660
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD998,380
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,371,267

    SVD-based statistics:
    norm(A)41.495
    min(svd(A))0
    cond(A)Inf
    rank(A)2,341
    sprank(A)-rank(A)3,541
    null space dimension3,635
    full numerical rank?no
    singular value gap1.35427e+11

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

    HB/man_5976 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.