• 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/jan99jac040
  • Description: Jacobian from Bank of Canada 'jan99' model, oldstack 040
  • download as a MATLAB mat-file, file size: 492 KB. Use SJget(380) or SJget('Hollinger/jan99jac040') in MATLAB.
  • download in Matrix Market format, file size: 623 KB.
  • download in Rutherford/Boeing format, file size: 556 KB.


    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-010, used with Matlab (R2008a) to calculate singular values 13042 to 13047 and associated error bounds.


    dmperm of Hollinger/jan99jac040

    scc of Hollinger/jan99jac040

    Matrix properties (click for a legend)  
    number of rows13,694
    number of columns13,694
    structural full rank?yes
    structural rank13,694
    numerical rank 13,044
    dimension of the numerical null space650
    numerical rank / min(size(A))0.95253
    Euclidean norm of A 1.4405e+006
    calculated singular value # 130443.1968e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 130453.1769e-006
    gap in the singular values at the numerical rank:
    singular value # 13044 / singular value # 13045
    calculated condition number-2
    # of blocks from dmperm1,934
    # strongly connected comp.1,914
    entries not in dmperm blocks8,253
    explicit zero entries10,108
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 13694-by-1
    xfull 13694-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))574,758 641,158 599,451
    Cholesky flop count1.7e+008 1.9e+008 2.0e+008
    nnz(L+U), no partial pivoting1,135,822 1,268,622 1,193,461
    nnz(V) for QR, upper bound nnz(L) for LU681,089 451,733 431,816
    nnz(R) for QR, upper bound nnz(U) for LU1,712,691 1,312,098 1,249,395

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10108 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.