Matrix: Hollinger/jan99jac080

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 080

Hollinger/jan99jac080 graph Hollinger/jan99jac080 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/jan99jac080 dmperm of Hollinger/jan99jac080
scc of Hollinger/jan99jac080

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 1011 KB. Use UFget(574) or UFget('Hollinger/jan99jac080') in MATLAB.
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    Matrix properties
    number of rows27,534
    number of columns27,534
    nonzeros151,063
    structural full rank?yes
    structural rank27,534
    # of blocks from dmperm3,614
    # strongly connected comp.3,594
    explicit zero entries20,459
    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 27534-by-1
    xfull 27534-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,441,347
    Cholesky flop count5.3e+08
    nnz(L+U), no partial pivoting, with AMD2,855,160
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,667,372
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,407,516

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 20459 explicit zero entries.

    SVD-based statistics:
    norm(A)1.78037e+06
    min(svd(A))7.7155e-09
    cond(A)2.30753e+14
    rank(A)25,994
    sprank(A)-rank(A)1,540
    null space dimension1,540
    full numerical rank?no
    singular value gap1.01868

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

    Hollinger/jan99jac080 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.