Matrix: HB/psmigr_2

Description: UNSYMMETRIC MATRIX . INTERCOUNTY MIGRATION . PAUL SLATER CA, NOV 1983

HB/psmigr_2 graph HB/psmigr_2 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/psmigr_2

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(236) or UFget('HB/psmigr_2') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows3,140
    number of columns3,140
    nonzeros540,022
    structural full rank?yes
    structural rank3,140
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 48%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Slater
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindeconomic problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,062,944
    Cholesky flop count4.6e+09
    nnz(L+U), no partial pivoting, with AMD6,122,748
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD4,284,956
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,887,523

    SVD-based statistics:
    norm(A)1
    min(svd(A))5.81301e-05
    cond(A)17202.8
    rank(A)3,140
    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

    HB/psmigr_2 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.