Matrix: TKK/t2d_q9

Description: Nonlinear diffusion problem, 50x50 biquadratic mesh, temp field. R Kouhia

TKK/t2d_q9 graph
(undirected graph drawing)


TKK/t2d_q9

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  • Matrix group: TKK
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  • download as a MATLAB mat-file, file size: 34 MB. Use UFget(1917) or UFget('TKK/t2d_q9') in MATLAB.
  • download in Matrix Market format, file size: 47 MB.
  • download in Rutherford/Boeing format, file size: 44 MB.

    Matrix properties
    number of rows9,801
    number of columns9,801
    nonzeros87,025
    structural full rank?yes
    structural rank9,801
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 69%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 9801-by-1
    Acell 45-by-1
    bcell 45-by-1

    Notes:

    Matrix sequence 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 AMD310,926
    Cholesky flop count2.2e+07
    nnz(L+U), no partial pivoting, with AMD612,051
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD506,007
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD954,787

    SVD-based statistics:
    norm(A)4.35807
    min(svd(A))0.00197329
    cond(A)2208.53
    rank(A)9,801
    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/t2d_q9 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.