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

  • Matrix: Cunningham/k3plates
  • Description: FE stiffness matrix, 3 plates meeting at a line. A. Cunningham
  • download as a MATLAB mat-file, file size: 3 MB. Use SJget(402) or SJget('Cunningham/k3plates') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 4 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 11099 to 11104 and associated error bounds.


    Matrix properties (click for a legend)  
    number of rows11,107
    number of columns11,107
    structural full rank?yes
    structural rank11,107
    numerical rank 11,101
    dimension of the numerical null space6
    numerical rank / min(size(A))0.99946
    Euclidean norm of A 1.9951e+010
    calculated singular value # 1110111.338
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 111020.014824
    gap in the singular values at the numerical rank:
    singular value # 11101 / singular value # 11102
    calculated condition number-2
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 100%
    Cholesky candidate?no
    positive definite?no

    authorA. Cunningham
    editorT. Davis
    kindacoustics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))774,049 908,179
    Cholesky flop count8.2e+007 1.2e+008
    nnz(L+U), no partial pivoting1,536,991 1,805,251
    nnz(V) for QR, upper bound nnz(L) for LU1,152,498 1,425,674
    nnz(R) for QR, upper bound nnz(U) for LU2,342,542 2,728,436

    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.