Homotopies for systems of polynomial equations
type: Item
instance of: scholarly article
title: Homotopies for systems of polynomial equations
zbMATH Open document ID: 0902.65018
author: D. Massart
published in: Acta Mathematica Vietnamica
publication date: 1998-12-02T00:00:00Z
review text: The Nielsen number for maps arising from complex systems of polynomial maps is discussed. It is sugessted that the Nielsen number concept gives a better guide for choosing starting maps in numerical homotopy methods than the starting maps guided by the Bézout number. Recently a yet better approach involving the Newton polytope concept has been given. The latter approach has been extensively surveyed by \textit{T.-Y. Li} [Iserles, A. (ed.), Acta Numerica Vol. 6, 1997. Cambridge University Press. 399-436 (1997; Zbl 0886.65054)].
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65H20
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 1140457
zbMATH Keywords: systems of polynomial equations
zbMATH Keywords: homotopy methods
zbMATH Keywords: Nielsen number
zbMATH Keywords: Bézout number
reviewed by: Eugene L. Allgower
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1140457