Matrix: Cunningham/m3plates

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

Cunningham/m3plates graph
(undirected graph drawing)

Cunningham/m3plates dmperm of Cunningham/m3plates
scc of Cunningham/m3plates

  • Home page of the UF Sparse Matrix Collection
  • 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
  • download as a MATLAB mat-file, file size: 38 KB. Use UFget(843) or UFget('Cunningham/m3plates') in MATLAB.
  • download in Matrix Market format, file size: 54 KB.
  • download in Rutherford/Boeing format, file size: 62 KB.

    Matrix properties
    number of rows11,107
    number of columns11,107
    structural full rank?no
    structural rank6,639
    # of blocks from dmperm6,641
    # strongly connected comp.11,107
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    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 AMD11,107
    Cholesky flop count1.1e+04
    nnz(L+U), no partial pivoting, with AMD11,107
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,107
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD11,107

    SVD-based statistics:
    null space dimension4,468
    full numerical rank?no
    singular value gapInf

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

    Cunningham/m3plates 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.