Matrix: Hollinger/mark3jac020

Description: Jacobian from MULTIMOD Mark3, oldstack 020

Hollinger/mark3jac020 graph Hollinger/mark3jac020 graph
(bipartite graph drawing) (graph drawing of A+A')

Hollinger/mark3jac020 dmperm of Hollinger/mark3jac020
scc of Hollinger/mark3jac020

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 381 KB. Use UFget(580) or UFget('Hollinger/mark3jac020') in MATLAB.
  • download in Matrix Market format, file size: 518 KB.
  • download in Rutherford/Boeing format, file size: 474 KB.

    Matrix properties
    number of rows9,129
    number of columns9,129
    structural full rank?yes
    structural rank9,129
    # of blocks from dmperm321
    # strongly connected comp.321
    explicit zero entries3,292
    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 AMD1,112,297
    Cholesky flop count5.9e+08
    nnz(L+U), no partial pivoting, with AMD2,215,465
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,087,755
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,927,280

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3292 explicit zero entries.

    SVD-based statistics:
    null space dimension195
    full numerical rank?no
    singular value gap1.01004

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

    Hollinger/mark3jac020 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.