Matrix: TKK/cbuckle

Description: Compressed cylindrical shell buckling; stiffness mtx K and initial stress G

TKK/cbuckle graph
(undirected graph drawing)


TKK/cbuckle

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  • Matrix group: TKK
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(1912) or UFget('TKK/cbuckle') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows13,681
    number of columns13,681
    nonzeros676,515
    structural full rank?yes
    structural rank13,681
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorR. Kouhia
    editorT. Davis
    date2008
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    Gsparse 13681-by-13681

    Notes:

    Matrix problems from Reijo Kouhia, Structural Mechanics, Helsinki  
    University of Technology.   http://users.tkk.fi/~kouhia/sparse.html
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,354,457
    Cholesky flop count6.3e+08
    nnz(L+U), no partial pivoting, with AMD4,695,233
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,192,824
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD13,662,187

    SVD-based statistics:
    norm(A)72236.1
    min(svd(A))0.00218955
    cond(A)3.29913e+07
    rank(A)13,681
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    TKK/cbuckle 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.