• 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/jan99jac100
  • Description: Jacobian from Bank of Canada 'jan99' model, oldstack 100
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(428) or SJget('Hollinger/jan99jac100') 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-010, used with Matlab (R2008a) to calculate singular values 32488 to 32493 and associated error bounds.


    dmperm of Hollinger/jan99jac100

    scc of Hollinger/jan99jac100

    Matrix properties (click for a legend)  
    number of rows34,454
    number of columns34,454
    structural full rank?yes
    structural rank34,454
    numerical rank 32,490
    dimension of the numerical null space1,964
    numerical rank / min(size(A))0.943
    Euclidean norm of A 1.9963e+006
    calculated singular value # 324908.0743e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 324918.0082e-006
    gap in the singular values at the numerical rank:
    singular value # 32490 / singular value # 32491
    calculated condition number-2
    # of blocks from dmperm4,450
    # strongly connected comp.4,430
    entries not in dmperm blocks21,205
    explicit zero entries25,638
    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 34454-by-1
    xfull 34454-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,781,413 2,097,824 1,918,791
    Cholesky flop count6.3e+008 8.7e+008 8.0e+008
    nnz(L+U), no partial pivoting3,528,372 4,161,194 3,824,333
    nnz(V) for QR, upper bound nnz(L) for LU1,999,877 1,448,473 1,462,352
    nnz(R) for QR, upper bound nnz(U) for LU5,520,413 4,348,093 4,149,705

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 25638 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.