Matrix: Hollinger/mark3jac060

Description: Jacobian from MULTIMOD Mark3, oldstack 060

Hollinger/mark3jac060 graph Hollinger/mark3jac060 graph
(bipartite graph drawing) (graph drawing of A+A')


Hollinger/mark3jac060 dmperm of Hollinger/mark3jac060
scc of Hollinger/mark3jac060

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(584) or UFget('Hollinger/mark3jac060') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows27,449
    number of columns27,449
    nonzeros160,723
    structural full rank?yes
    structural rank27,449
    # of blocks from dmperm961
    # strongly connected comp.961
    explicit zero entries9,972
    nonzero pattern symmetry 7%
    numeric value symmetry 1%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,038,771
    Cholesky flop count4.0e+09
    nnz(L+U), no partial pivoting, with AMD10,050,093
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,458,742
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD12,922,730

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 9972 explicit zero entries.

    SVD-based statistics:
    norm(A)1.27818e+07
    min(svd(A))1.13275e-07
    cond(A)1.12838e+14
    rank(A)25,812
    sprank(A)-rank(A)1,637
    null space dimension1,637
    full numerical rank?no
    singular value gap1.00085

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

    Hollinger/mark3jac060 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.