Matrix: HB/will57

Description: UNSYMMETRIC PATTERN OF ORDER 57 GIVEN BY WILLOUGHBY IN REID, 1970

HB/will57 graph HB/will57 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/will57

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 878 bytes. Use UFget(274) or UFget('HB/will57') in MATLAB.
  • download in Matrix Market format, file size: 1021 bytes.
  • download in Rutherford/Boeing format, file size: 889 bytes.

    Matrix properties
    number of rows57
    number of columns57
    nonzeros281
    structural full rank?yes
    structural rank57
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 87%
    numeric value symmetry 87%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Willoughby
    editorI. Duff, R. Grimes, J. Lewis
    date1970
    kindsemiconductor device problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD191
    Cholesky flop count6.8e+02
    nnz(L+U), no partial pivoting, with AMD325
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD235
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD450

    SVD-based statistics:
    norm(A)6.14869
    min(svd(A))2.24858e-17
    cond(A)2.73448e+17
    rank(A)50
    sprank(A)-rank(A)7
    null space dimension7
    full numerical rank?no
    singular value gap1.95656e+14

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

    HB/will57 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.