Matrix: HB/curtis54

Description: UNSYMMETRIC PATTERN OF CURTIS, 1971

HB/curtis54 graph HB/curtis54 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/curtis54

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 828 bytes. Use UFget(109) or UFget('HB/curtis54') in MATLAB.
  • download in Matrix Market format, file size: 1006 bytes.
  • download in Rutherford/Boeing format, file size: 857 bytes.

    Matrix properties
    number of rows54
    number of columns54
    nonzeros291
    structural full rank?yes
    structural rank54
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 95%
    numeric value symmetry 95%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Curtis
    editorA. Curtis, I. Duff, J. Reid
    date1971
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD224
    Cholesky flop count9.8e+02
    nnz(L+U), no partial pivoting, with AMD394
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD266
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD556

    SVD-based statistics:
    norm(A)6.72424
    min(svd(A))1.63996e-17
    cond(A)4.10025e+17
    rank(A)50
    sprank(A)-rank(A)4
    null space dimension4
    full numerical rank?no
    singular value gap3.70506e+13

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

    HB/curtis54 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.