• SJSU Singular Matrix Database
  • Matrix group: Hollinger
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  • Matrix: Hollinger/g7jac120sc
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 120 (scaled)
  • download as a MATLAB mat-file, file size: 3 MB. Use SJget(496) or SJget('Hollinger/g7jac120sc') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Hollinger/g7jac120sc

    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 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 35528 to 35533 and associated error bounds.

    Hollinger/g7jac120sc

    dmperm of Hollinger/g7jac120sc

    scc of Hollinger/g7jac120sc

    Matrix properties (click for a legend)  
    number of rows35,550
    number of columns35,550
    structural full rank?yes
    structural rank35,550
    numerical rank 35,530
    dimension of the numerical null space20
    numerical rank / min(size(A))0.99944
    Euclidean norm of A 1.0831e+005
    calculated singular value # 355305.2962e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.1732e-007
    calculated singular value # 355315.0738e-007
    gap in the singular values at the numerical rank:
    singular value # 35530 / singular value # 35531
    1.0438
    calculated condition number-2
    condest3.6222e+013
    nonzeros412,306
    # of blocks from dmperm1,717
    # strongly connected comp.877
    entries not in dmperm blocks5,395
    explicit zero entries62,990
    nonzero pattern symmetry 3%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no
    SJid496
    UFid559

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))9,692,479 9,380,207 8,844,734
    Cholesky flop count1.2e+010 1.0e+010 7.8e+009
    nnz(L+U), no partial pivoting19,349,408 18,724,864 17,659,313
    nnz(V) for QR, upper bound nnz(L) for LU13,516,699 5,702,490 5,516,678
    nnz(R) for QR, upper bound nnz(U) for LU23,901,708 15,326,668 16,193,693

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 62990 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.