Matrix: ATandT/pre2

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

ATandT/pre2 graph ATandT/pre2 graph
(bipartite graph drawing) (graph drawing of A+A')

ATandT/pre2 dmperm of ATandT/pre2
scc of ATandT/pre2

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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.
  • download in Matrix Market format, file size: 33 MB.
  • download in Rutherford/Boeing format, file size: 27 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD166,850,203
    Cholesky flop count3.4e+11
    nnz(L+U), no partial pivoting, with AMD333,041,373
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD280,230,008
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD624,841,823

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

    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.