• UF Sparse Matrix Collection
  • Matrix group: PARSEC
  • Click here for a description of the PARSEC group.
  • Click here for a list of all matrices
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  • Matrix: PARSEC/benzene
  • Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN
  • download as a MATLAB mat-file, file size: 441 KB. Use UFget(1348) or UFget('PARSEC/benzene') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    PARSEC/benzene

    PARSEC/benzene graph

    Matrix properties
    number of rows8,219
    number of columns8,219
    nonzeros242,669
    structural full rank?yes
    structural rank8,219
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorY. Zhou, Y. Saad, M. Tiago, J. Chelikowsky
    editorT. Davis
    date2005
    kindtheoretical/quantum chemistry problem
    2D/3D problem?no

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))12,897,079 7,698,341
    Cholesky flop count3.0e+10 1.1e+10
    nnz(L+U), no partial pivoting25,785,939 15,388,463
    nnz(V) for QR, upper bound nnz(L) for LU14,908,336 12,326,981
    nnz(R) for QR, upper bound nnz(U) for LU21,837,776 20,858,858

    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.