ATandT/pre2 graph

Matrix: ATandT/pre2

Description: AT&T,harmonic balance method, large example


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  • Matrix group: ATandT
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  • download as a MATLAB mat-file, file size: 30 MB. Use UFget(285) or UFget('ATandT/pre2') in MATLAB.
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    ATandT/pre2

    dmperm of ATandT/pre2

    scc of ATandT/pre2

    Matrix properties
    number of rows659,033
    number of columns659,033
    nonzeros5,834,044
    structural full rank?yes
    structural rank659,033
    # of blocks from dmperm29,282
    # strongly connected comp.391
    entries not in dmperm blocks47,054
    explicit zero entries125,238
    nonzero pattern symmetry 33%
    numeric value symmetry 7%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Melville, D. Long
    editorT. Davis
    date2001
    kindfrequency-domain circuit simulation problem
    2D/3D problem?no

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))166,850,203 131,066,807 65,323,029
    Cholesky flop count3.4e+11 1.5e+11 1.2e+11
    nnz(L+U), no partial pivoting333,041,373 261,474,581 130,034,079
    nnz(V) for QR, upper bound nnz(L) for LU280,230,008 - 287,475,475
    nnz(R) for QR, upper bound nnz(U) for LU624,841,823 - 648,722,166

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 125238 explicit zero entries.

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.