Matrix: Chen/pkustk08

Description: PKU SYMMETRIC STIFFNESS, 11*11*11 MESH (21 NODES ELEMENT)

Chen/pkustk08 graph
(undirected graph drawing)


Chen/pkustk08

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  • Matrix group: Chen
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(854) or UFget('Chen/pkustk08') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 888 KB.

    Matrix properties
    number of rows22,209
    number of columns22,209
    nonzeros3,226,671
    structural full rank?yes
    structural rank22,209
    # 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 AMD14,680,191
    Cholesky flop count2.0e+10
    nnz(L+U), no partial pivoting, with AMD29,338,173
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD28,946,745
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD73,091,064

    SVD-based statistics:
    norm(A)180.348
    min(svd(A))0
    cond(A)Inf
    rank(A)6,552
    sprank(A)-rank(A)15,657
    null space dimension15,657
    full numerical rank?no
    singular value gap2.65124e+10

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Chen/pkustk08 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.