• SJSU Singular Matrix Database
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
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  • Matrix: Hollinger/mark3jac040sc
  • Description: Jacobian from MULTIMOD Mark3, oldstack 040 (scaled)
  • download as a MATLAB mat-file, file size: 788 KB. Use SJget(459) or SJget('Hollinger/mark3jac040sc') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 981 KB.

    Hollinger/mark3jac040sc

    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 18221 to 18226 and associated error bounds.

    Hollinger/mark3jac040sc

    dmperm of Hollinger/mark3jac040sc

    scc of Hollinger/mark3jac040sc

    Matrix properties (click for a legend)  
    number of rows18,289
    number of columns18,289
    structural full rank?yes
    structural rank18,289
    numerical rank 18,223
    dimension of the numerical null space66
    numerical rank / min(size(A))0.99639
    Euclidean norm of A 2.3447e+006
    calculated singular value # 182238.9368e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    8.5165e-006
    calculated singular value # 182248.4655e-006
    gap in the singular values at the numerical rank:
    singular value # 18223 / singular value # 18224
    1.0557
    calculated condition number-2
    condest5.1015e+013
    nonzeros106,803
    # of blocks from dmperm641
    # strongly connected comp.641
    entries not in dmperm blocks4,120
    explicit zero entries6,632
    nonzero pattern symmetry 7%
    numeric value symmetry 1%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Hollinger
    editorT. Davis
    date2001
    kindeconomic problem
    2D/3D problem?no
    SJid459
    UFid583

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,834,641 1,960,372 2,039,787
    Cholesky flop count1.8e+009 7.2e+008 7.8e+008
    nnz(L+U), no partial pivoting5,650,993 3,902,455 4,065,405
    nnz(V) for QR, upper bound nnz(L) for LU3,913,346 2,172,337 1,976,477
    nnz(R) for QR, upper bound nnz(U) for LU6,558,876 4,377,021 4,000,307

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6632 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.