• 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/Na5
  • Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN
  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1358) or UFget('PARSEC/Na5') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    PARSEC/Na5

    PARSEC/Na5 graph

    Matrix properties
    number of rows5,832
    number of columns5,832
    nonzeros305,630
    structural full rank?yes
    structural rank5,832
    # 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'))7,735,312 4,635,601
    Cholesky flop count1.6e+10 5.3e+09
    nnz(L+U), no partial pivoting15,464,792 9,265,370
    nnz(V) for QR, upper bound nnz(L) for LU10,255,546 7,784,896
    nnz(R) for QR, upper bound nnz(U) for LU13,619,727 12,620,629

    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.