Matrix: ATandT/onetone2

Description: AT&T,harmonic balance method, one-tone. More typical for direct factor.

ATandT/onetone2 graph ATandT/onetone2 graph
(bipartite graph drawing) (graph drawing of A+A')


ATandT/onetone2 dmperm of ATandT/onetone2
scc of ATandT/onetone2

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  • Matrix group: ATandT
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(284) or UFget('ATandT/onetone2') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 749 KB.

    Matrix properties
    number of rows36,057
    number of columns36,057
    nonzeros222,596
    structural full rank?yes
    structural rank36,057
    # of blocks from dmperm3,843
    # strongly connected comp.203
    explicit zero entries5,032
    nonzero pattern symmetry 11%
    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 AMD4,018,036
    Cholesky flop count1.0e+09
    nnz(L+U), no partial pivoting, with AMD8,000,015
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD488,470
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,065,910

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5032 explicit zero entries.

    SVD-based statistics:
    norm(A)3924.01
    min(svd(A))0.00124
    cond(A)3.16452e+06
    rank(A)36,057
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    ATandT/onetone2 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.