Symbolic Computation with Symmetric Polynomials an Extension to MACSYMA

  • Annick Valibouze
Conference paper


We present here a package of manipulations of symmetric polynomials implemented in Franzlisp. This package, called SYM, constitutes at present an extension of the system of symbolic computation MACSYMA. It performs a few manipulations on symmetric polynomials; it can also be used for direct applications. Some algorithms extend easily to functions that are symmetric with respect to sets of variables (i.e. multi-symmetric functions); these functions will be dealt with in the present paper.




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  1. [Andrews]
    1976, George E. Andrews, The theory of partitions ,Encyclopedia of Mathematics and its Applications, Vol. 2, Section Number Theory, Addison Wesley.Google Scholar
  2. [Girard]
    , 1629, Invention Nouvelle en Algèbre, Amsterdam.Google Scholar
  3. [G,L,V]
    1988, M. Giusti, D. Lazard, A. Valibouze, Symmetric polynomials and elimination ,Notes informelles de Calcul Formel IX, Prépublication du Centre de Mathématiques de l’Ecole Polytechnique, M810.0987.Google Scholar
  4. [G,L,V]
    1988, M. Giusti, D. Lazard, A. Valibouze, Algebraic transformation of polynomial equations, symmetric polynomials and elimination. Proceedings of ISSAC-88 (Roma, Italy), Springer Verlag.Google Scholar
  5. [Lascoux]
    Alain, 1984–1985. La résultante de deux polynômes ,Séminaire d’Algèbre M.P. Malliavin.Google Scholar
  6. [Lascoux, Shützenberger]
    1985, A. Lascoux, M.P. Schützenberger, Formulaire raisonné de fonctions symétriques ,L.I.T.P, U.E.R. MATHS, Paris 7, L.A. 248.Google Scholar
  7. [Macdonald]
    I.G., 1979, Symmetric functions and Hall polynomials ,Clarendon Press, Oxford.Google Scholar
  8. [V1]
    1897, A. Valibouze, Fonctions symétriques et changements de bases ,Proceedings of the European Conference on Computer Algebra EUROCAL ’87 (Leipzig, RDA), Springer-Verlag.Google Scholar
  9. [V2]
    1988, A. Valibouze, Manipulations de fonctions symétriques ,Thèse de l’Université Paris VI.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Annick Valibouze
    • 1
    • 2
  1. 1.LITPParis Cedex 05France
  2. 2.“GRECO De Calcul Formel” No 60France

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