Matrix: ATandT/onetone1

Description: AT&T,harmonic balance method, one-tone. Approx Jacobian for SSOR precon

ATandT/onetone1 graph ATandT/onetone1 graph
(bipartite graph drawing) (graph drawing of A+A')

ATandT/onetone1 dmperm of ATandT/onetone1
scc of ATandT/onetone1

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  • Matrix group: ATandT
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(283) or UFget('ATandT/onetone1') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows36,057
    number of columns36,057
    structural full rank?yes
    structural rank36,057
    # of blocks from dmperm3,843
    # strongly connected comp.203
    explicit zero entries5,536
    nonzero pattern symmetry 7%
    numeric value symmetry 4%
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD9,939,829
    Cholesky flop count7.3e+09
    nnz(L+U), no partial pivoting, with AMD19,843,601
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,291,021
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,272,298

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5536 explicit zero entries.

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    ATandT/onetone1 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.