Triangular Sets for Solving Polynomial Systems: a Comparative Implementation of Four Methods - Archive ouverte HAL
Article Dans Une Revue Journal of Symbolic Computation Année : 1999

Triangular Sets for Solving Polynomial Systems: a Comparative Implementation of Four Methods

Philippe Aubry
  • Fonction : Auteur
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Marc Moreno Maza
  • Fonction : Auteur

Résumé

Four methods for solving polynomial systems by means of triangular sets are presented and implemented in a unified way. These methods are those of Wu (1987), Lazard (1991), Kalkbrener (1991) and Wang (1993b). They are compared on various examples with the emphasis on efficiency, conciseness and legibility of the output.

Dates et versions

hal-01148862 , version 1 (05-05-2015)

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Philippe Aubry, Marc Moreno Maza. Triangular Sets for Solving Polynomial Systems: a Comparative Implementation of Four Methods. Journal of Symbolic Computation, 1999, 28 (1-2), pp.125-154. ⟨10.1006/jsco.1999.0270⟩. ⟨hal-01148862⟩
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