• SJSU Singular Matrix Database
  • Matrix group: Hollinger
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  • Matrix: Hollinger/g7jac040
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 040
  • download as a MATLAB mat-file, file size: 859 KB. Use SJget(454) or SJget('Hollinger/g7jac040') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1000 KB.

    Hollinger/g7jac040

    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 with opts.tol_eigs = 1e-008, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 8836 to 8841 and associated error bounds.

    Hollinger/g7jac040

    dmperm of Hollinger/g7jac040

    scc of Hollinger/g7jac040

    Matrix properties (click for a legend)  
    number of rows11,790
    number of columns11,790
    structural full rank?yes
    structural rank11,790
    numerical rank 8,838
    dimension of the numerical null space2,952
    numerical rank / min(size(A))0.74962
    Euclidean norm of A 3.7382e+007
    calculated singular value # 88388.8645e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    8.7842e-005
    calculated singular value # 88398.723e-005
    gap in the singular values at the numerical rank:
    singular value # 8838 / singular value # 8839
    1.0162
    calculated condition number-2
    condest5.4442e+017
    nonzeros107,383
    # of blocks from dmperm597
    # strongly connected comp.317
    entries not in dmperm blocks2,033
    explicit zero entries7,288
    nonzero pattern symmetry 5%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no
    SJid454
    UFid549

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,749,473 1,615,773 1,575,340
    Cholesky flop count1.1e+009 7.8e+008 7.4e+008
    nnz(L+U), no partial pivoting3,487,156 3,219,756 3,140,923
    nnz(V) for QR, upper bound nnz(L) for LU2,039,151 1,198,436 1,402,972
    nnz(R) for QR, upper bound nnz(U) for LU3,614,040 2,655,809 2,622,591

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7288 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.