Matrix: Chen/pkustk05

Description: PKU SYMMETRIC STIFFNESS, COFFERDAM 37164 DOFS

Chen/pkustk05 graph
(undirected graph drawing)


Chen/pkustk05

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  • Matrix group: Chen
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  • download as a MATLAB mat-file, file size: 801 KB. Use UFget(851) or UFget('Chen/pkustk05') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 670 KB.

    Matrix properties
    number of rows37,164
    number of columns37,164
    nonzeros2,205,144
    structural full rank?yes
    structural rank37,164
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorP. Chen
    editorT. Davis
    date2002
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD15,324,774
    Cholesky flop count1.8e+10
    nnz(L+U), no partial pivoting, with AMD30,612,384
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD39,505,908
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD76,729,326

    SVD-based statistics:
    norm(A)77.6205
    min(svd(A))0
    cond(A)Inf
    rank(A)6,149
    sprank(A)-rank(A)31,015
    null space dimension31,015
    full numerical rank?no
    singular value gap1.94949

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

    Chen/pkustk05 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.