Matrix: PARSEC/H2O

Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN

PARSEC/H2O graph
(undirected graph drawing)

PARSEC/H2O

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(1357) or UFget('PARSEC/H2O') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD482,032,544
    Cholesky flop count5.1e+12
    nnz(L+U), no partial pivoting, with AMD963,998,064
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD541,818,994
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD896,893,472

    Maintained by Tim Davis, last updated 01-Apr-2011.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.