• SJSU Singular Matrix Database
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
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  • Matrix: Hollinger/g7jac020sc
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 020 (scaled)
  • download as a MATLAB mat-file, file size: 380 KB. Use SJget(384) or SJget('Hollinger/g7jac020sc') in MATLAB.
  • download in Matrix Market format, file size: 447 KB.
  • download in Rutherford/Boeing format, file size: 398 KB.


    Routine svd from Matlab (R2008a) used to calculate the singular values.


    dmperm of Hollinger/g7jac020sc

    scc of Hollinger/g7jac020sc

    Matrix properties (click for a legend)  
    number of rows5,850
    number of columns5,850
    structural full rank?yes
    structural rank5,850
    numerical rank 5,848
    dimension of the numerical null space2
    numerical rank / min(size(A))0.99966
    Euclidean norm of A 27127
    calculated singular value # 58485.1571e-008
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 58491.6789e-008
    gap in the singular values at the numerical rank:
    singular value # 5848 / singular value # 5849
    calculated condition number4.45e+012
    # of blocks from dmperm317
    # strongly connected comp.177
    entries not in dmperm blocks1,195
    explicit zero entries2,897
    nonzero pattern symmetry 6%
    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'))494,583 496,193 467,732
    Cholesky flop count1.6e+008 1.4e+008 1.3e+008
    nnz(L+U), no partial pivoting983,316 986,536 930,809
    nnz(V) for QR, upper bound nnz(L) for LU505,338 374,121 379,347
    nnz(R) for QR, upper bound nnz(U) for LU966,471 773,254 812,888

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2897 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.