Matrix: HB/cegb3306

Description: FINITE ELEMENT FRAMEWORK PROBLEM, ESSENTIALLY IN TWO DIMENSIONS

HB/cegb3306 graph
(undirected graph drawing)


HB/cegb3306 dmperm of HB/cegb3306
scc of HB/cegb3306

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 25 KB. Use UFget(1176) or UFget('HB/cegb3306') in MATLAB.
  • download in Matrix Market format, file size: 77 KB.
  • download in Rutherford/Boeing format, file size: 30 KB.

    Matrix properties
    number of rows3,306
    number of columns3,306
    nonzeros74,916
    structural full rank?no
    structural rank3,222
    # of blocks from dmperm3
    # strongly connected comp.85
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Donovan
    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 AMD67,989
    Cholesky flop count2.0e+06
    nnz(L+U), no partial pivoting, with AMD132,672
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD247,881
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD489,657

    SVD-based statistics:
    norm(A)36.0403
    min(svd(A))0
    cond(A)Inf
    rank(A)537
    sprank(A)-rank(A)2,685
    null space dimension2,769
    full numerical rank?no
    singular value gap3.54335e+11

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

    HB/cegb3306 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.