Matrix: Bai/qh768

Description: QUEBEC HYDRO POWER SYSTEM

Bai/qh768 graph Bai/qh768 graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/qh768 dmperm of Bai/qh768

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  • download as a MATLAB mat-file, file size: 11 KB. Use UFget(1627) or UFget('Bai/qh768') in MATLAB.
  • download in Matrix Market format, file size: 14 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    Matrix properties
    number of rows768
    number of columns768
    nonzeros2,934
    structural full rank?yes
    structural rank768
    # of blocks from dmperm43
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 93%
    numeric value symmetry 0%
    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 AMD2,884
    Cholesky flop count1.2e+04
    nnz(L+U), no partial pivoting, with AMD5,000
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,205
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD6,409

    SVD-based statistics:
    norm(A)1.3567e+13
    min(svd(A))0.000157026
    cond(A)8.63998e+16
    rank(A)644
    sprank(A)-rank(A)124
    null space dimension124
    full numerical rank?no
    singular value gap1.03685

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

    Bai/qh768 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.