Matrix: Hollinger/mark3jac080

Description: Jacobian from MULTIMOD Mark3, oldstack 080

Hollinger/mark3jac080 graph Hollinger/mark3jac080 graph
(bipartite graph drawing) (graph drawing of A+A')

Hollinger/mark3jac080 dmperm of Hollinger/mark3jac080
scc of Hollinger/mark3jac080

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  • Matrix group: Hollinger
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(586) or UFget('Hollinger/mark3jac080') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows36,609
    number of columns36,609
    structural full rank?yes
    structural rank36,609
    # of blocks from dmperm1,281
    # strongly connected comp.1,281
    explicit zero entries13,312
    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 AMD7,577,614
    Cholesky flop count6.8e+09
    nnz(L+U), no partial pivoting, with AMD15,118,619
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,194,688
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,146,676

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13312 explicit zero entries.

    SVD-based statistics:
    null space dimension2,852
    full numerical rank?no
    singular value gap1.00086

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

    Hollinger/mark3jac080 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.