• 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/g7jac050sc
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 050 (scaled)
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(452) or SJget('Hollinger/g7jac050sc') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 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 14752 to 14757 and associated error bounds.


    dmperm of Hollinger/g7jac050sc

    scc of Hollinger/g7jac050sc

    Matrix properties (click for a legend)  
    number of rows14,760
    number of columns14,760
    structural full rank?yes
    structural rank14,760
    numerical rank 14,754
    dimension of the numerical null space6
    numerical rank / min(size(A))0.99959
    Euclidean norm of A 80000
    calculated singular value # 147543.2729e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 147556.3498e-008
    gap in the singular values at the numerical rank:
    singular value # 14754 / singular value # 14755
    calculated condition number-2
    # of blocks from dmperm737
    # strongly connected comp.387
    entries not in dmperm blocks2,455
    explicit zero entries12,833
    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'))2,788,451 2,323,497 2,429,300
    Cholesky flop count2.4e+009 1.3e+009 1.4e+009
    nnz(L+U), no partial pivoting5,562,142 4,632,234 4,846,295
    nnz(V) for QR, upper bound nnz(L) for LU2,898,238 1,829,677 1,877,097
    nnz(R) for QR, upper bound nnz(U) for LU5,399,522 3,906,378 4,245,547

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12833 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.