Matrix: Hollinger/jan99jac040

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 040

Hollinger/jan99jac040 graph Hollinger/jan99jac040 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/jan99jac040 dmperm of Hollinger/jan99jac040
scc of Hollinger/jan99jac040

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 490 KB. Use UFget(570) or UFget('Hollinger/jan99jac040') in MATLAB.
  • download in Matrix Market format, file size: 613 KB.
  • download in Rutherford/Boeing format, file size: 548 KB.

    Matrix properties
    number of rows13,694
    number of columns13,694
    nonzeros72,734
    structural full rank?yes
    structural rank13,694
    # of blocks from dmperm1,934
    # strongly connected comp.1,914
    explicit zero entries10,108
    nonzero pattern symmetry 0%
    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 13694-by-1
    xfull 13694-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD574,758
    Cholesky flop count1.7e+08
    nnz(L+U), no partial pivoting, with AMD1,135,822
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD681,089
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,712,691

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10108 explicit zero entries.

    SVD-based statistics:
    norm(A)1.44051e+06
    min(svd(A))1.92859e-08
    cond(A)7.46927e+13
    rank(A)13,044
    sprank(A)-rank(A)650
    null space dimension650
    full numerical rank?no
    singular value gap1.00627

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

    Hollinger/jan99jac040 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.