Matrix: Hollinger/jan99jac100

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 100

Hollinger/jan99jac100 graph Hollinger/jan99jac100 graph
(bipartite graph drawing) (graph drawing of A+A')

Hollinger/jan99jac100 dmperm of Hollinger/jan99jac100
scc of Hollinger/jan99jac100

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(576) or UFget('Hollinger/jan99jac100') in MATLAB.
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    Matrix properties
    number of rows34,454
    number of columns34,454
    structural full rank?yes
    structural rank34,454
    # of blocks from dmperm4,450
    # strongly connected comp.4,430
    explicit zero entries25,638
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 34454-by-1
    xfull 34454-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,781,413
    Cholesky flop count6.3e+08
    nnz(L+U), no partial pivoting, with AMD3,528,372
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,999,877
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,520,413

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 25638 explicit zero entries.

    SVD-based statistics:
    null space dimension1,964
    full numerical rank?no
    singular value gap1.00826

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

    Hollinger/jan99jac100 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.