Publication
Title
A modification of Newton's method for analytic mappings having multiple zeros
Author
Abstract
We propose a modification of Newtons method for computing multiple roots of systems of analytic equations. Under mild assumptions the iteration converges quadratically. It involves certain constants whose product is a lower bound for the multiplicity of the root. As these constants are usually not known in advance, we devise an iteration in which not only an approximation for the root is refined, but also approximations for these constants. Numerical examples illustrate the effectiveness of our approach.
Language
English
Source (journal)
Computing: archives for informatics and numerical computation. - Wien
Publication
Wien : 1999
ISSN
0010-485X
Volume/pages
62:2(1999), p. 129-145
ISI
000080453400003
Full text (Publishers DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.04.2012
Last edited 18.04.2017