Matrix: Hollinger/g7jac010

Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 010

Hollinger/g7jac010 graph Hollinger/g7jac010 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/g7jac010 dmperm of Hollinger/g7jac010
scc of Hollinger/g7jac010

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 168 KB. Use UFget(545) or UFget('Hollinger/g7jac010') in MATLAB.
  • download in Matrix Market format, file size: 221 KB.
  • download in Rutherford/Boeing format, file size: 203 KB.

    Matrix properties
    number of rows2,880
    number of columns2,880
    nonzeros18,229
    structural full rank?yes
    structural rank2,880
    # of blocks from dmperm177
    # strongly connected comp.107
    explicit zero entries1,406
    nonzero pattern symmetry 7%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 2880-by-1
    xfull 2880-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD157,432
    Cholesky flop count3.2e+07
    nnz(L+U), no partial pivoting, with AMD311,984
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD155,210
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD278,820

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1406 explicit zero entries.

    SVD-based statistics:
    norm(A)1.33434e+07
    min(svd(A))1.29543e-11
    cond(A)1.03004e+18
    rank(A)2,282
    sprank(A)-rank(A)598
    null space dimension598
    full numerical rank?no
    singular value gap1.07044

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

    Hollinger/g7jac010 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.