Matrix: Hollinger/jan99jac060

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 060

Hollinger/jan99jac060 graph Hollinger/jan99jac060 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/jan99jac060 dmperm of Hollinger/jan99jac060
scc of Hollinger/jan99jac060

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 751 KB. Use UFget(572) or UFget('Hollinger/jan99jac060') in MATLAB.
  • download in Matrix Market format, file size: 944 KB.
  • download in Rutherford/Boeing format, file size: 839 KB.

    Matrix properties
    number of rows20,614
    number of columns20,614
    nonzeros111,903
    structural full rank?yes
    structural rank20,614
    # of blocks from dmperm2,774
    # strongly connected comp.2,754
    explicit zero entries15,279
    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 20614-by-1
    xfull 20614-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD978,309
    Cholesky flop count3.2e+08
    nnz(L+U), no partial pivoting, with AMD1,936,004
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,103,778
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,920,225

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 15279 explicit zero entries.

    SVD-based statistics:
    norm(A)1.59112e+06
    min(svd(A))1.20022e-08
    cond(A)1.32569e+14
    rank(A)19,484
    sprank(A)-rank(A)1,130
    null space dimension1,130
    full numerical rank?no
    singular value gap1.00449

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Hollinger/jan99jac060 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.