Matrix: Hollinger/mark3jac060sc

Description: Jacobian from MULTIMOD Mark3, oldstack 060 (scaled)

Hollinger/mark3jac060sc graph Hollinger/mark3jac060sc graph
(bipartite graph drawing) (graph drawing of A+A')

Hollinger/mark3jac060sc dmperm of Hollinger/mark3jac060sc
scc of Hollinger/mark3jac060sc

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(585) or UFget('Hollinger/mark3jac060sc') 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
    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%
    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 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:
    null space dimension114
    full numerical rank?no
    singular value gap1.05302

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

    Hollinger/mark3jac060sc 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.