Matrix: Hollinger/g7jac020

Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 020

Hollinger/g7jac020 graph Hollinger/g7jac020 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/g7jac020 dmperm of Hollinger/g7jac020
scc of Hollinger/g7jac020

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 330 KB. Use UFget(547) or UFget('Hollinger/g7jac020') in MATLAB.
  • download in Matrix Market format, file size: 439 KB.
  • download in Rutherford/Boeing format, file size: 387 KB.

    Matrix properties
    number of rows5,850
    number of columns5,850
    nonzeros42,568
    structural full rank?yes
    structural rank5,850
    # of blocks from dmperm317
    # strongly connected comp.177
    explicit zero entries2,897
    nonzero pattern symmetry 6%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD494,583
    Cholesky flop count1.6e+08
    nnz(L+U), no partial pivoting, with AMD983,316
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD505,338
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD966,471

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2897 explicit zero entries.

    SVD-based statistics:
    norm(A)1.84454e+07
    min(svd(A))3.50391e-10
    cond(A)5.26424e+16
    rank(A)4,488
    sprank(A)-rank(A)1,362
    null space dimension1,362
    full numerical rank?no
    singular value gap1.01779

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

    Hollinger/g7jac020 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.