Matrix: Hollinger/mark3jac040sc

Description: Jacobian from MULTIMOD Mark3, oldstack 040 (scaled)

Hollinger/mark3jac040sc graph Hollinger/mark3jac040sc graph
(bipartite graph drawing) (graph drawing of A+A')

Hollinger/mark3jac040sc dmperm of Hollinger/mark3jac040sc
scc of Hollinger/mark3jac040sc

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 786 KB. Use UFget(583) or UFget('Hollinger/mark3jac040sc') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 974 KB.

    Matrix properties
    number of rows18,289
    number of columns18,289
    structural full rank?yes
    structural rank18,289
    # of blocks from dmperm641
    # strongly connected comp.641
    explicit zero entries6,632
    nonzero pattern symmetry 7%
    numeric value symmetry 1%
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,834,641
    Cholesky flop count1.8e+09
    nnz(L+U), no partial pivoting, with AMD5,650,993
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,913,346
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD6,558,876

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6632 explicit zero entries.

    SVD-based statistics:
    null space dimension66
    full numerical rank?no
    singular value gap1.05567

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

    Hollinger/mark3jac040sc 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.