Matrix: Hollinger/g7jac120

Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 120

Hollinger/g7jac120 graph Hollinger/g7jac120 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/g7jac120 dmperm of Hollinger/g7jac120
scc of Hollinger/g7jac120

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(558) or UFget('Hollinger/g7jac120') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows35,550
    number of columns35,550
    nonzeros412,306
    structural full rank?yes
    structural rank35,550
    # of blocks from dmperm1,717
    # strongly connected comp.877
    explicit zero entries62,990
    nonzero pattern symmetry 3%
    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 AMD9,692,479
    Cholesky flop count1.2e+10
    nnz(L+U), no partial pivoting, with AMD19,349,408
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD13,516,699
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD23,901,708

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 62990 explicit zero entries.

    SVD-based statistics:
    norm(A)2.11791e+08
    min(svd(A))7.87693e-12
    cond(A)2.68875e+19
    rank(A)26,364
    sprank(A)-rank(A)9,186
    null space dimension9,186
    full numerical rank?no
    singular value gap1.03598

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

    Hollinger/g7jac120 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.