Skip to Main content Skip to Navigation
Conference papers

On Solving Systems of Bivariate Polynomials

Fabrice Rouillier 1
1 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.
Document type :
Conference papers
Complete list of metadata

https://hal.inria.fr/hal-01110516
Contributor : Fabrice Rouillier <>
Submitted on : Wednesday, January 28, 2015 - 1:36:33 PM
Last modification on : Friday, January 8, 2021 - 5:50:04 PM

Links full text

Identifiers

Citation

Fabrice Rouillier. On Solving Systems of Bivariate Polynomials. Mathematical Software - ICMS 2010, Sep 2010, Kobe, Japan. pp.100-104, ⟨10.1007/978-3-642-15582-6_21⟩. ⟨hal-01110516⟩

Share

Metrics

Record views

941