Faster real root decision algorithm for symmetric polynomials

In this paper, we consider the problem of deciding the existence of real solutions to a system of polynomial equations having real coefficients, and which are invariant under the action of the symmetric group. We construct and analyze a Monte Carlo probabilistic algorithm which solves this problem,...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2023-06
Hauptverfasser:	Labahn, George, Riener, Cordian, Mohab Safey El Din, Schost, Éric, Vu, Thi Xuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Complexity Computer Science - Symbolic Computation Mathematical analysis Mathematics - Algebraic Geometry Polynomials Symmetry
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!