Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
On the local convergence of Newton's method to a multiple root
Yoshikazu YAMAGISHI
Author information
Keywords: Newton's method, multiple root, local convergence, indeterminate point, stable manifold
JOURNAL FREE ACCESS

2003 Volume 55 Issue 4 Pages 897-908

Details
Download PDF (136K)
Download citation RIS

(compatible with EndNote, Reference Manager, ProCite, RefWorks)

BIB TEX

(compatible with BibDesk, LaTeX)

Text
How to download citation
Contact us
Abstract
In the local dynamics of Newton's method of a holomorphic function of two variables, a multiple root of rank 1 has a Cantor family of holomorphic superstable manifolds which consists of quadratically convergent initial values.
Content from these authors

This article cannot obtain the latest cited-by information.

© The Mathematical Society of Japan
Previous article Next article
Favorites & Alerts

Recently viewed articles
Predecessor

Proceedings of the Physico-Mathematical Society of Japan. 3rd Series

Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series

Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo

Tokyo Sugaku-Butsurigakkwai Hokoku

Tokyo Sugaku-Butsurigaku Kwai Kiji

Tokyo Sugaku-Butsurigaku Kwai Kiji

Tokyo Sugaku Kaisya Zasshi

Share this page
feedback
 Top