Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials

Abstract

We show that the variation of the topology at infinity of a two-variable polynomial function is localisable at a finite number of "atypical points" at infinity. We construct an effective algorithm with low complexity in order to detect sharply the bifurcation values of the polynomial function.

minor edits in this last version before print; to appear in Math. Z

References in corpus (3)

• On the existence of Pareto solutions for polynomial vector optimization problems
• Detecting bifurcation values at infinity of real polynomials
• Towards effective detection of the bifurcation locus of real polynomial maps

Cited by in corpus (1)

• Global index of real polynomials