• SJSU Singular Matrix Database
  • Matrix group: Hollinger
  • Click here for a description of the Hollinger group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups

  • Matrix: Hollinger/mark3jac100sc
  • Description: Jacobian from MULTIMOD Mark3, oldstack 100 (scaled)
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(491) or SJget('Hollinger/mark3jac100sc') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 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, used with Matlab (R2008a) to calculate singular values 45569 to 45574 and associated error bounds.


    dmperm of Hollinger/mark3jac100sc

    scc of Hollinger/mark3jac100sc

    Matrix properties (click for a legend)  
    number of rows45,769
    number of columns45,769
    structural full rank?yes
    structural rank45,769
    numerical rank 45,571
    dimension of the numerical null space198
    numerical rank / min(size(A))0.99567
    Euclidean norm of A 2.3447e+006
    calculated singular value # 455710.00011186
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 455721.8245e-005
    gap in the singular values at the numerical rank:
    singular value # 45571 / singular value # 45572
    calculated condition number-2
    # of blocks from dmperm1,601
    # strongly connected comp.1,601
    entries not in dmperm blocks10,360
    explicit zero entries16,652
    nonzero pattern symmetry 7%
    numeric value symmetry 1%
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))9,319,029 5,723,052 5,783,641
    Cholesky flop count8.2e+009 2.5e+009 2.6e+009
    nnz(L+U), no partial pivoting18,592,289 11,400,335 11,531,873
    nnz(V) for QR, upper bound nnz(L) for LU16,036,748 6,139,485 5,535,684
    nnz(R) for QR, upper bound nnz(U) for LU29,914,593 12,453,446 11,354,478

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 16652 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.