Reducing Chaos and Bifurcations in Newton-Type Methods

We study the dynamics of some Newton-type iterative methods when they are applied of polynomials degrees two and three. The methods are free of high-order derivatives which are the main limitation of the classical high-order iterative schemes. The iterative schemes consist of several steps of damped...

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Bibliographic Details
Main Authors: S. Amat, S. Busquier, Á. A. Magreñán
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/726701