Matrix: Grund/poli3

Description: Economic problem from Friedrich Grund, Berlin

Grund/poli3 graph Grund/poli3 graph
(bipartite graph drawing) (graph drawing of A+A')


Grund/poli3 dmperm of Grund/poli3

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 149 KB. Use UFget(2278) or UFget('Grund/poli3') in MATLAB.
  • download in Matrix Market format, file size: 175 KB.
  • download in Rutherford/Boeing format, file size: 157 KB.

    Matrix properties
    number of rows16,955
    number of columns16,955
    nonzeros37,849
    structural full rank?yes
    structural rank16,955
    # of blocks from dmperm16,794
    # strongly connected comp.16,794
    explicit zero entries0
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorF. Grund
    editorT. Davis
    date2010
    kindeconomic problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD61,241
    Cholesky flop count2.4e+06
    nnz(L+U), no partial pivoting, with AMD105,527
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD136,094
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD649,549

    SVD-based statistics:
    norm(A)15.9918
    min(svd(A))0.0304433
    cond(A)525.298
    rank(A)16,955
    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

    Grund/poli3 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.