Matrix: TKK/g3rmt3m3

Description: Cylindrical shell, R/t=1e3, 3noded MITC elements, gamma=G. R Kouhia

TKK/g3rmt3m3 graph
(undirected graph drawing)

TKK/g3rmt3m3 graph

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  • Matrix group: TKK
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  • download as a MATLAB mat-file, file size: 69 KB. Use UFget(1907) or UFget('TKK/g3rmt3m3') in MATLAB.
  • download in Matrix Market format, file size: 202 KB.
  • download in Rutherford/Boeing format, file size: 72 KB.

    Matrix properties
    number of rows5,357
    number of columns5,357
    structural full rank?yes
    structural rank5,357
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    authorR. Kouhia
    editorT. Davis
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 5357-by-1
    coordfull 5357-by-3


    Matrix problems from Reijo Kouhia, Structural Mechanics, Helsinki  
    University of Technology.

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD429,359
    Cholesky flop count5.2e+07
    nnz(L+U), no partial pivoting, with AMD853,361
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD564,329
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,110,644

    SVD-based statistics:
    null space dimension4,419
    full numerical rank?no
    singular value gap1.85688e+11

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

    TKK/g3rmt3m3 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.