Matrix: Chen/pkustk07

Description: PKU SYMMETRIC STIFFNESS, 10*10*10 MESH (21 NODES ELEMENTS)

Chen/pkustk07 graph
(undirected graph drawing)


Chen/pkustk07

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Chen
  • Click here for a description of the Chen group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(853) or UFget('Chen/pkustk07') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 648 KB.

    Matrix properties
    number of rows16,860
    number of columns16,860
    nonzeros2,418,804
    structural full rank?yes
    structural rank16,860
    # 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 AMD9,848,031
    Cholesky flop count1.1e+10
    nnz(L+U), no partial pivoting, with AMD19,679,202
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD16,994,709
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD43,803,294

    SVD-based statistics:
    norm(A)178.748
    min(svd(A))0
    cond(A)Inf
    rank(A)4,834
    sprank(A)-rank(A)12,026
    null space dimension12,026
    full numerical rank?no
    singular value gap6.92143e+10

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

    Chen/pkustk07 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.