• 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/g7jac180
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 180
  • download as a MATLAB mat-file, file size: 5 MB. Use SJget(505) or SJget('Hollinger/g7jac180') in MATLAB.
  • download in Matrix Market format, file size: 7 MB.
  • download in Rutherford/Boeing format, file size: 6 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 with opts.tol_eigs = 1e-008, used with Matlab (R2008a) to calculate singular values 39520 to 39525 and associated error bounds.


    dmperm of Hollinger/g7jac180

    scc of Hollinger/g7jac180

    Matrix properties (click for a legend)  
    number of rows53,370
    number of columns53,370
    structural full rank?yes
    structural rank53,370
    numerical rank 39,522
    dimension of the numerical null space13,848
    numerical rank / min(size(A))0.74053
    Euclidean norm of A 1.9373e+009
    calculated singular value # 395220.012833
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 395230.012108
    gap in the singular values at the numerical rank:
    singular value # 39522 / singular value # 39523
    calculated condition number-2
    # of blocks from dmperm2,557
    # strongly connected comp.1,297
    entries not in dmperm blocks7,913
    explicit zero entries105,986
    nonzero pattern symmetry 3%
    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'))16,663,873 15,663,066 14,532,936
    Cholesky flop count2.3e+010 1.7e+010 1.4e+010
    nnz(L+U), no partial pivoting33,274,376 31,272,762 29,020,415
    nnz(V) for QR, upper bound nnz(L) for LU21,648,304 10,096,808 11,134,962
    nnz(R) for QR, upper bound nnz(U) for LU39,007,779 27,181,074 27,423,502

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 105986 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.