Matrix: Grund/poli_large

Description: Unsymmetric Matrix poli_large, FU Berlin, Aug 1996.

Grund/poli_large graph Grund/poli_large graph
(bipartite graph drawing) (graph drawing of A+A')


Grund/poli_large dmperm of Grund/poli_large

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 96 KB. Use UFget(468) or UFget('Grund/poli_large') in MATLAB.
  • download in Matrix Market format, file size: 126 KB.
  • download in Rutherford/Boeing format, file size: 108 KB.

    Matrix properties
    number of rows15,575
    number of columns15,575
    nonzeros33,033
    structural full rank?yes
    structural rank15,575
    # of blocks from dmperm15,466
    # strongly connected comp.15,466
    explicit zero entries41
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorF. Grund
    editorF. Grund
    date1997
    kindeconomic problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD36,160
    Cholesky flop count1.6e+05
    nnz(L+U), no partial pivoting, with AMD56,745
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD59,302
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD717,364

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 41 explicit zero entries.

    SVD-based statistics:
    norm(A)13.6318
    min(svd(A))0.456948
    cond(A)29.8323
    rank(A)15,575
    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:SVD did not converge.

    Grund/poli_large 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.