Matrix: HB/jgl009

Description: U JOHN G. LEWIS P4 COUNTEREXAMPLE WHICH REQUIRES FILL IN SPIKES

HB/jgl009 graph HB/jgl009 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/jgl009

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 521 bytes. Use UFget(185) or UFget('HB/jgl009') in MATLAB.
  • download in Matrix Market format, file size: 527 bytes.
  • download in Rutherford/Boeing format, file size: 532 bytes.

    Matrix properties
    number of rows9
    number of columns9
    nonzeros50
    structural full rank?yes
    structural rank9
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 48%
    numeric value symmetry 48%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindcounter-example problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD42
    Cholesky flop count2.4e+02
    nnz(L+U), no partial pivoting, with AMD75
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD44
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD45

    SVD-based statistics:
    norm(A)6.10129
    min(svd(A))4.86173e-63
    cond(A)1.25496e+63
    rank(A)5
    sprank(A)-rank(A)4
    null space dimension4
    full numerical rank?no
    singular value gap6.02749e+15

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

    HB/jgl009 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.