• 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/mark3jac020
  • Description: Jacobian from MULTIMOD Mark3, oldstack 020
  • download as a MATLAB mat-file, file size: 446 KB. Use SJget(424) or SJget('Hollinger/mark3jac020') in MATLAB.
  • download in Matrix Market format, file size: 524 KB.
  • download in Rutherford/Boeing format, file size: 477 KB.

    Hollinger/mark3jac020

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Hollinger/mark3jac020

    dmperm of Hollinger/mark3jac020

    scc of Hollinger/mark3jac020

    Matrix properties (click for a legend)  
    number of rows9,129
    number of columns9,129
    structural full rank?yes
    structural rank9,129
    numerical rank 8,934
    dimension of the numerical null space195
    numerical rank / min(size(A))0.97864
    Euclidean norm of A 1.2782e+007
    calculated singular value # 89341.7025e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.7004e-005
    calculated singular value # 89351.6855e-005
    gap in the singular values at the numerical rank:
    singular value # 8934 / singular value # 8935
    1.01
    calculated condition number3.891e+013
    condest1.7498e+014
    nonzeros52,883
    # of blocks from dmperm321
    # strongly connected comp.321
    entries not in dmperm blocks2,040
    explicit zero entries3,292
    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
    SJid424
    UFid580

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,112,297 824,304 809,951
    Cholesky flop count5.9e+008 2.5e+008 2.4e+008
    nnz(L+U), no partial pivoting2,215,465 1,639,479 1,612,813
    nnz(V) for QR, upper bound nnz(L) for LU1,087,755 906,003 844,684
    nnz(R) for QR, upper bound nnz(U) for LU1,927,280 1,787,574 1,676,896

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3292 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.