Sinks in Newton's means

Authors
Nowicki, T
Citation
T. Nowicki, Sinks in Newton's means, INVENT MATH, 144(2), 2001, pp. 233-239
Citations number
4
Categorie Soggetti
Mathematics
Journal title
INVENTIONES MATHEMATICAE
ISSN journal
00209910 → ACNP
Volume
144
Issue
2
Year of publication
2001
Pages
233 - 239
Database
ISI
SICI code
0020-9910(200105)144:2<233:SINM>2.0.ZU;2-U
Abstract
The iterates of the dynamical system defined by Newton's means for n greate r than or equal to 2 complex variables converge rapidly to a point of equal coordinates when the convex hull of starting points does not contain 0.