Matrix: Bai/qh1484

Description: QUEBEC HYDRO POWER SYSTEM

Bai/qh1484 graph
(undirected graph drawing)


Bai/qh1484 dmperm of Bai/qh1484
scc of Bai/qh1484

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 20 KB. Use UFget(1626) or UFget('Bai/qh1484') in MATLAB.
  • download in Matrix Market format, file size: 28 KB.
  • download in Rutherford/Boeing format, file size: 23 KB.

    Matrix properties
    number of rows1,484
    number of columns1,484
    nonzeros6,110
    structural full rank?yes
    structural rank1,484
    # of blocks from dmperm3
    # strongly connected comp.3
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 5%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Ndereyimana
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1994
    kindpower network problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,919
    Cholesky flop count2.6e+04
    nnz(L+U), no partial pivoting, with AMD10,354
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,508
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,796

    SVD-based statistics:
    norm(A)1.25679e+16
    min(svd(A))0.0120326
    cond(A)1.04449e+18
    rank(A)708
    sprank(A)-rank(A)776
    null space dimension776
    full numerical rank?no
    singular value gap1.17732

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

    Bai/qh1484 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.