• 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/m3plates
  • Description: FE mass matrix, 3 plates meeting at a line. A. Cunningham
  • download as a MATLAB mat-file, file size: 39 KB. Use SJget(285) or SJget('Cunningham/m3plates') in MATLAB.
  • download in Matrix Market format, file size: 55 KB.
  • download in Rutherford/Boeing format, file size: 62 KB.


    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 6637 to 6642 and associated error bounds.


    dmperm of Cunningham/m3plates

    scc of Cunningham/m3plates

    Matrix properties (click for a legend)  
    number of rows11,107
    number of columns11,107
    structural full rank?no
    structural rank6,639
    numerical rank 6,639
    dimension of the numerical null space4,468
    numerical rank / min(size(A))0.59773
    Euclidean norm of A 0.16281
    calculated singular value # 66390.011496
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 66403.0292e-028
    gap in the singular values at the numerical rank:
    singular value # 6639 / singular value # 6640
    calculated condition number-2
    # of blocks from dmperm6,641
    # strongly connected comp.11,107
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    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'))11,107 11,107
    Cholesky flop count1.1e+004 1.1e+004
    nnz(L+U), no partial pivoting11,107 11,107
    nnz(V) for QR, upper bound nnz(L) for LU11,107 11,107
    nnz(R) for QR, upper bound nnz(U) for LU11,107 11,107

    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.