Matrix: Hollinger/jan99jac020

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 020

Hollinger/jan99jac020 graph Hollinger/jan99jac020 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/jan99jac020 dmperm of Hollinger/jan99jac020
scc of Hollinger/jan99jac020

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 230 KB. Use UFget(568) or UFget('Hollinger/jan99jac020') in MATLAB.
  • download in Matrix Market format, file size: 285 KB.
  • download in Rutherford/Boeing format, file size: 256 KB.

    Matrix properties
    number of rows6,774
    number of columns6,774
    nonzeros33,744
    structural full rank?yes
    structural rank6,774
    # of blocks from dmperm1,311
    # strongly connected comp.1,291
    explicit zero entries4,948
    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 6774-by-1
    xfull 6774-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD198,431
    Cholesky flop count3.7e+07
    nnz(L+U), no partial pivoting, with AMD390,088
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD233,673
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD603,053

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4948 explicit zero entries.

    SVD-based statistics:
    norm(A)1.26547e+06
    min(svd(A))3.97085e-08
    cond(A)3.18689e+13
    rank(A)6,525
    sprank(A)-rank(A)249
    null space dimension249
    full numerical rank?no
    singular value gap1.0016

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

    Hollinger/jan99jac020 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.