Matrix: Chen/pkustk01

Description: PKU SYMMETRIC STIFFNESS, BEIJING BOTANIC EXHIBITION HALL

Chen/pkustk01 graph
(undirected graph drawing)


Chen/pkustk01

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  • Matrix group: Chen
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  • download as a MATLAB mat-file, file size: 357 KB. Use UFget(847) or UFget('Chen/pkustk01') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 304 KB.

    Matrix properties
    number of rows22,044
    number of columns22,044
    nonzeros979,380
    structural full rank?yes
    structural rank22,044
    # 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 AMD1,937,778
    Cholesky flop count3.6e+08
    nnz(L+U), no partial pivoting, with AMD3,853,512
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,094,336
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,635,135

    SVD-based statistics:
    norm(A)64.2787
    min(svd(A))0
    cond(A)Inf
    rank(A)3,732
    sprank(A)-rank(A)18,312
    null space dimension18,312
    full numerical rank?no
    singular value gap4.94807e+09

    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/pkustk01 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.