Matrix: TKK/cyl6

Description: Cylindrical shell, non-linear analysis, 3 RHS vectors at step 6. R Kouhia

TKK/cyl6 graph
(undirected graph drawing)


TKK/cyl6

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  • Matrix group: TKK
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  • download as a MATLAB mat-file, file size: 414 KB. Use UFget(1913) or UFget('TKK/cyl6') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 541 KB.

    Matrix properties
    number of rows13,681
    number of columns13,681
    nonzeros714,241
    structural full rank?yes
    structural rank13,681
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typeinteger
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Additional fieldssize and type
    bfull 13681-by-3

    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 AMD1,617,535
    Cholesky flop count2.7e+08
    nnz(L+U), no partial pivoting, with AMD3,221,389
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,302,305
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,813,011

    SVD-based statistics:
    norm(A)321.97
    min(svd(A))1.42335e-113
    cond(A)2.26206e+115
    rank(A)2,243
    sprank(A)-rank(A)11,438
    null space dimension11,438
    full numerical rank?no
    singular value gap5.9994e+10

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

    TKK/cyl6 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.