• SJSU Singular Matrix Database
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
  • Click here for a list of all matrices
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  • Matrix: Hollinger/jan99jac060
  • Description: Jacobian from Bank of Canada 'jan99' model, oldstack 060
  • download as a MATLAB mat-file, file size: 753 KB. Use SJget(407) or SJget('Hollinger/jan99jac060') in MATLAB.
  • download in Matrix Market format, file size: 958 KB.
  • download in Rutherford/Boeing format, file size: 852 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-008, used with Matlab (R2008a) to calculate singular values 19482 to 19487 and associated error bounds.


    dmperm of Hollinger/jan99jac060

    scc of Hollinger/jan99jac060

    Matrix properties (click for a legend)  
    number of rows20,614
    number of columns20,614
    structural full rank?yes
    structural rank20,614
    numerical rank 19,484
    dimension of the numerical null space1,130
    numerical rank / min(size(A))0.94518
    Euclidean norm of A 1.5911e+006
    calculated singular value # 194844.8195e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 194854.7979e-006
    gap in the singular values at the numerical rank:
    singular value # 19484 / singular value # 19485
    calculated condition number-2
    # of blocks from dmperm2,774
    # strongly connected comp.2,754
    entries not in dmperm blocks12,569
    explicit zero entries15,279
    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 20614-by-1
    xfull 20614-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))978,309 1,095,821 1,039,273
    Cholesky flop count3.2e+008 3.9e+008 4.0e+008
    nnz(L+U), no partial pivoting1,936,004 2,171,028 2,070,501
    nnz(V) for QR, upper bound nnz(L) for LU1,103,778 774,677 717,056
    nnz(R) for QR, upper bound nnz(U) for LU2,920,225 2,323,465 2,086,632

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 15279 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.