Matrix: Bai/qh882

Description: QUEBEC HYDRO POWER SYSTEM, DEO

Bai/qh882 graph Bai/qh882 graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/qh882 dmperm of Bai/qh882

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 13 KB. Use UFget(328) or UFget('Bai/qh882') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 15 KB.

    Matrix properties
    number of rows882
    number of columns882
    nonzeros3,354
    structural full rank?yes
    structural rank882
    # 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 AMD3,264
    Cholesky flop count1.3e+04
    nnz(L+U), no partial pivoting, with AMD5,646
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,720
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,546

    SVD-based statistics:
    norm(A)6.68635e+12
    min(svd(A))0.000271825
    cond(A)2.4598e+16
    rank(A)821
    sprank(A)-rank(A)61
    null space dimension61
    full numerical rank?no
    singular value gap1.01854

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

    Bai/qh882 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.