• SJSU Singular Matrix Database
  • 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

  • Matrix: Hollinger/g7jac080sc
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 080 (scaled)
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(476) or SJget('Hollinger/g7jac080sc') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.


    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab (R2008a) to calculate singular values 23659 to 23664 and associated error bounds.


    dmperm of Hollinger/g7jac080sc

    scc of Hollinger/g7jac080sc

    Matrix properties (click for a legend)  
    number of rows23,670
    number of columns23,670
    structural full rank?yes
    structural rank23,670
    numerical rank 23,661
    dimension of the numerical null space9
    numerical rank / min(size(A))0.99962
    Euclidean norm of A 1.0831e+005
    calculated singular value # 236613.7171e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 236623.3531e-007
    gap in the singular values at the numerical rank:
    singular value # 23661 / singular value # 23662
    calculated condition number-2
    # of blocks from dmperm1,157
    # strongly connected comp.597
    entries not in dmperm blocks3,712
    explicit zero entries34,328
    nonzero pattern symmetry 4%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,878,121 5,018,032 4,916,748
    Cholesky flop count6.6e+009 3.9e+009 3.7e+009
    nnz(L+U), no partial pivoting11,732,572 10,012,394 9,813,538
    nnz(V) for QR, upper bound nnz(L) for LU6,615,944 3,487,778 3,701,794
    nnz(R) for QR, upper bound nnz(U) for LU12,041,530 8,822,513 8,482,755

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 34328 explicit zero entries.

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.