Matrix: HB/gemat12

Description: UNSUMMETRIC MATRIX FROM G.E. OPF PROGRAM. WESTERN UTILITY SYSTEMBASIS 1

HB/gemat12 graph HB/gemat12 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/gemat12 dmperm of HB/gemat12
scc of HB/gemat12

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 295 KB. Use UFget(157) or UFget('HB/gemat12') in MATLAB.
  • download in Matrix Market format, file size: 277 KB.
  • download in Rutherford/Boeing format, file size: 239 KB.

    Matrix properties
    number of rows4,929
    number of columns4,929
    nonzeros33,044
    structural full rank?yes
    structural rank4,929
    # of blocks from dmperm378
    # strongly connected comp.2
    explicit zero entries67
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Burchett
    editorI. Duff, R. Grimes, J. Lewis
    date1984
    kindsubsequent power network problem
    2D/3D problem?no

    Notes:

    next: - first: HB/gemat11
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,371,648
    Cholesky flop count5.5e+09
    nnz(L+U), no partial pivoting, with AMD6,738,367
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD45,544
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD91,429

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 67 explicit zero entries.

    SVD-based statistics:
    norm(A)692.75
    min(svd(A))6.63759e-06
    cond(A)1.04368e+08
    rank(A)4,929
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    HB/gemat12 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.