• UF Sparse Matrix Collection
  • Matrix group: PARSEC
  • Click here for a description of the PARSEC group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: PARSEC/H2O
  • Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN
  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(1357) or UFget('PARSEC/H2O') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    PARSEC/H2O

    PARSEC/H2O graph

    Matrix properties
    number of rows67,024
    number of columns67,024
    nonzeros2,216,736
    structural full rank?yes
    structural rank67,024
    # 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'))482,032,544 214,633,547
    Cholesky flop count5.1e+12 1.2e+12
    nnz(L+U), no partial pivoting963,998,064 429,200,070
    nnz(V) for QR, upper bound nnz(L) for LU541,818,994 362,185,332
    nnz(R) for QR, upper bound nnz(U) for LU896,893,472 656,494,669

    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.