Matrix: Cunningham/k3plates

Description: FE stiffness matrix, 3 plates meeting at a line. A. Cunningham

Cunningham/k3plates graph
(undirected graph drawing)


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  • Matrix group: Cunningham
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(842) or UFget('Cunningham/k3plates') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows11,107
    number of columns11,107
    structural full rank?yes
    structural rank11,107
    # of blocks from dmperm1
    # strongly connected comp.1
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD774,049
    Cholesky flop count8.2e+07
    nnz(L+U), no partial pivoting, with AMD1,536,991
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,152,498
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,342,542

    SVD-based statistics:
    null space dimension6
    full numerical rank?no
    singular value gap765.134

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Cunningham/k3plates svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.