• DocumentCode
    2529701
  • Title

    Gröbner Basis Technique for Algebraic Formulas in Electron Correlation Theories

  • Author

    Osoekawa, Takeshi ; Shinohara, Naoyuki ; Mochizuki, Yuji ; Yokoyama, Kazuhiro

  • Author_Institution
    Fac. of Sci., Rikkyo Univ., Tokyo, Japan
  • fYear
    2010
  • fDate
    23-26 March 2010
  • Firstpage
    17
  • Lastpage
    23
  • Abstract
    This paper describes an algorithm to simplify algebraic formulas appear in electron correlation theories using Grobner basis.The algorithm is designed to sum up the equivalent terms under a set of rewriting rules so that we obtain the simplest representation of the formula.This paper also discusses improvements of our algorithm.
  • Keywords
    algebra; electron correlations; quantum chemistry; rewriting systems; Gröbner basis technique; algebraic formulas; electron correlation theories; rewriting rules; Electrons; Grobner basis; Moller-Plesset perturbation theory; electron correlation theories; term rewriting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Science and Its Applications (ICCSA), 2010 International Conference on
  • Conference_Location
    Fukuoka
  • Print_ISBN
    978-0-7695-3999-7
  • Electronic_ISBN
    978-1-4244-6462-3
  • Type

    conf

  • DOI
    10.1109/ICCSA.2010.30
  • Filename
    5476607