On Solving Systems of Bivariate Polynomials

Fabrice Rouillier 1, 2
2 SALSA - Solvers for Algebraic Systems and Applications
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : Solving systems of bivariate polynomials is a critical operation: curves plotting, curves topology, parametric systems, general solvers which are recursive on the number of variables, etc. Several strategies currently exist from numerical algorithms (bisections for example, interval arithmetic) to general rewriting methods (Gröbner bases, triangular sets, resultants, etc.) with advantages and drawbacks.
Type de document :
Communication dans un congrès
Mathematical Software - ICMS 2010, Sep 2010, Kobe, Japan. Springer, 6327, pp.100-104, Lecture Notes in Computer Science. 〈10.1007/978-3-642-15582-6_21〉
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https://hal.inria.fr/hal-01110516
Contributeur : Fabrice Rouillier <>
Soumis le : mercredi 28 janvier 2015 - 13:36:33
Dernière modification le : jeudi 22 novembre 2018 - 14:34:28

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Fabrice Rouillier. On Solving Systems of Bivariate Polynomials. Mathematical Software - ICMS 2010, Sep 2010, Kobe, Japan. Springer, 6327, pp.100-104, Lecture Notes in Computer Science. 〈10.1007/978-3-642-15582-6_21〉. 〈hal-01110516〉

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