Matrix: Chen/pkustk09

Description: PKU SYMMETRIC STIFFNESS, GROUP SILOS IN DALIAN, CHINA

Chen/pkustk09 graph
(undirected graph drawing)


Chen/pkustk09

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  • Matrix group: Chen
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  • download as a MATLAB mat-file, file size: 545 KB. Use UFget(855) or UFget('Chen/pkustk09') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 498 KB.

    Matrix properties
    number of rows33,960
    number of columns33,960
    nonzeros1,583,640
    structural full rank?yes
    structural rank33,960
    # 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 AMD5,345,736
    Cholesky flop count2.0e+09
    nnz(L+U), no partial pivoting, with AMD10,657,512
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD16,244,226
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD31,889,580

    SVD-based statistics:
    norm(A)55.3108
    min(svd(A))0
    cond(A)Inf
    rank(A)5,583
    sprank(A)-rank(A)28,377
    null space dimension28,377
    full numerical rank?no
    singular value gap6.47497

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

    Chen/pkustk09 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.