Attracting cycles for the relaxed Newton’s method-Reference-Cited by-同舟云学术

Attracting cycles for the relaxed Newton’s method

Published:2011-03 Issue:10 Volume:235 Page:3238-3244
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Plaza Sergio,Romero Natalia

Funder

Ministry of Science and Technology of Spain

Fondecyt

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference16 articles.

1. Dynamics in One Complex Variable: Introductory Lectures;Milnor,2006

2. On the iteration of a rational function: computer experiment with Newton’s method;Curry;Comm. Math. Phys.,1983

3. Discrete versus continuous Newton’s method: a case study;Saupe;Acta Appl. Math.,1988

4. Holomorphic motions in the parameter space for the relaxed Newton’s method;Kriete;Kodai Math. J.,2002

5. Julia sets and Mandelbrot-like sets associated with higher order Schröder rational iteration functions: a computer assisted study;Vrscay;Math. Comp.,1986

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