• SJSU Singular Matrix Database
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
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  • Matrix: Hollinger/g7jac010
  • Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 010
  • download as a MATLAB mat-file, file size: 188 KB. Use SJget(130) or SJget('Hollinger/g7jac010') in MATLAB.
  • download in Matrix Market format, file size: 224 KB.
  • download in Rutherford/Boeing format, file size: 205 KB.


    Routine svd from Matlab (R2008a) used to calculate the singular values.


    dmperm of Hollinger/g7jac010

    scc of Hollinger/g7jac010

    Matrix properties (click for a legend)  
    number of rows2,880
    number of columns2,880
    structural full rank?yes
    structural rank2,880
    numerical rank 2,282
    dimension of the numerical null space598
    numerical rank / min(size(A))0.79236
    Euclidean norm of A 1.3343e+007
    calculated singular value # 22825.6862e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 22835.312e-006
    gap in the singular values at the numerical rank:
    singular value # 2282 / singular value # 2283
    calculated condition number1.0034e+018
    # of blocks from dmperm177
    # strongly connected comp.107
    entries not in dmperm blocks774
    explicit zero entries1,406
    nonzero pattern symmetry 7%
    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 2880-by-1
    xfull 2880-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))157,432 147,056 146,153
    Cholesky flop count3.2e+007 2.2e+007 2.4e+007
    nnz(L+U), no partial pivoting311,984 291,232 290,200
    nnz(V) for QR, upper bound nnz(L) for LU155,210 118,915 120,469
    nnz(R) for QR, upper bound nnz(U) for LU278,820 243,014 243,126

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1406 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.