• 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/mark3jac120sc
  • Description: Jacobian from MULTIMOD Mark3, oldstack 120 (scaled)
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(501) or SJget('Hollinger/mark3jac120sc') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 3 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 54689 to 54694 and associated error bounds.


    dmperm of Hollinger/mark3jac120sc

    scc of Hollinger/mark3jac120sc

    Matrix properties (click for a legend)  
    number of rows54,929
    number of columns54,929
    structural full rank?yes
    structural rank54,929
    numerical rank 54,691
    dimension of the numerical null space238
    numerical rank / min(size(A))0.99567
    Euclidean norm of A 2.3447e+006
    calculated singular value # 546918.8796e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 546921.8245e-005
    gap in the singular values at the numerical rank:
    singular value # 54691 / singular value # 54692
    calculated condition number-2
    # of blocks from dmperm1,921
    # strongly connected comp.1,921
    entries not in dmperm blocks12,440
    explicit zero entries19,992
    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'))12,345,413 7,059,476 7,181,611
    Cholesky flop count1.2e+010 3.1e+009 3.2e+009
    nnz(L+U), no partial pivoting24,635,897 14,064,023 14,320,733
    nnz(V) for QR, upper bound nnz(L) for LU22,957,596 7,830,558 7,000,212
    nnz(R) for QR, upper bound nnz(U) for LU42,888,151 15,823,802 14,268,957

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 19992 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.