• UF Sparse Matrix Collection
  • Matrix group: Li
  • Click here for a description of the Li group.
  • Click here for a list of all matrices
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  • Matrix: Li/li
  • Description: 3D Finite element matrix, magnetohydrodynamic problem with 5 variables
  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(732) or UFget('Li/li') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Li/li

    dmperm of Li/li

    Li/li graph

    Matrix properties
    number of rows22,695
    number of columns22,695
    nonzeros1,215,181
    structural full rank?yes
    structural rank22,695
    # of blocks from dmperm4
    # strongly connected comp.4
    entries not in dmperm blocks135,128
    explicit zero entries135,128
    nonzero pattern symmetrysymmetric
    numeric value symmetry 87%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorB. Li
    editorT. Davis
    date1999
    kindelectromagnetics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))30,408,095 13,698,973 6,273,717
    Cholesky flop count7.9e+10 1.6e+10 3.2e+09
    nnz(L+U), no partial pivoting60,793,495 27,375,251 12,659,867
    nnz(V) for QR, upper bound nnz(L) for LU33,668,257 20,853,139 9,238,562
    nnz(R) for QR, upper bound nnz(U) for LU56,815,640 39,051,932 17,416,453

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 135128 explicit zero entries.

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.