• SJSU Singular Matrix Database
  • Matrix group: Hollinger
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  • Matrix: Hollinger/jan99jac120
  • Description: Jacobian from Bank of Canada 'jan99' model, oldstack 120
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(434) or SJget('Hollinger/jan99jac120') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Hollinger/jan99jac120

    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 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 38923 to 38928 and associated error bounds.

    Hollinger/jan99jac120

    dmperm of Hollinger/jan99jac120

    scc of Hollinger/jan99jac120

    Matrix properties (click for a legend)  
    number of rows41,374
    number of columns41,374
    structural full rank?yes
    structural rank41,374
    numerical rank 38,925
    dimension of the numerical null space2,449
    numerical rank / min(size(A))0.94081
    Euclidean norm of A 2.5039e+006
    calculated singular value # 389251.932e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.9266e-005
    calculated singular value # 389261.9112e-005
    gap in the singular values at the numerical rank:
    singular value # 38925 / singular value # 38926
    1.0109
    calculated condition number-2
    condest1.585e+015
    nonzeros229,385
    # of blocks from dmperm5,292
    # strongly connected comp.5,272
    entries not in dmperm blocks25,519
    explicit zero entries30,817
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no
    SJid434
    UFid578

    Additional fieldssize and type
    bfull 41374-by-1
    xfull 41374-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,348,115 2,573,131 2,505,401
    Cholesky flop count9.5e+008 1.1e+009 1.2e+009
    nnz(L+U), no partial pivoting4,654,856 5,104,888 4,994,947
    nnz(V) for QR, upper bound nnz(L) for LU2,539,425 1,842,207 1,689,540
    nnz(R) for QR, upper bound nnz(U) for LU7,025,008 5,405,005 4,861,763

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 30817 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.