Fonctions symétriques et changements de bases

Abstract : This paper describes change of basis algorithms for symmetric polynomials. We consider below the three usual following bases : monomial forms, symmetric elementary and Newton polynomials. The originality consists in retaining only one representative of the orbit to make the computations. It is a crucial point if we realize that one orbit can contain commonly hundreds of terms. We implemented these algorithms in FRANZLISP with an interface MACSYMA.
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Annick Valibouze. Fonctions symétriques et changements de bases. Davenport, James H. Eurocal '87: European Conference on Computer Algebra Leipzig, GDR, June 2--5, 1987 Proceedings, 378, ⟨Springer Berlin Heidelberg⟩, pp.323-332, 1989, Lecture Notes in Computer Science, 978-3-540-48207-9. ⟨10.1007/3-540-51517-8_135⟩. ⟨hal-01672047⟩



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