Matrix: Hollinger/g7jac080sc

Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 080 (scaled)

Hollinger/g7jac080sc graph Hollinger/g7jac080sc graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/g7jac080sc dmperm of Hollinger/g7jac080sc
scc of Hollinger/g7jac080sc

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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(555) or UFget('Hollinger/g7jac080sc') in MATLAB.
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    Matrix properties
    number of rows23,670
    number of columns23,670
    nonzeros259,648
    structural full rank?yes
    structural rank23,670
    # of blocks from dmperm1,157
    # strongly connected comp.597
    explicit zero entries34,328
    nonzero pattern symmetry 4%
    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 AMD5,878,121
    Cholesky flop count6.6e+09
    nnz(L+U), no partial pivoting, with AMD11,732,572
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,615,944
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD12,041,530

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 34328 explicit zero entries.

    SVD-based statistics:
    norm(A)108310
    min(svd(A))1.59182e-08
    cond(A)6.80414e+12
    rank(A)23,661
    sprank(A)-rank(A)9
    null space dimension9
    full numerical rank?no
    singular value gap1.10856

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

    Hollinger/g7jac080sc 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.