Dynamics of a higher-order family of iterative methods
- Honorato, G. 1
- Plaza, S. 1
- Romero, N. 2
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1
Universidad de Santiago de Chile
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2
Universidad de La Rioja
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ISSN: 0885-064X
Year of publication: 2011
Volume: 27
Issue: 2
Pages: 221-229
Type: Article
More publications in: Journal of Complexity
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Abstract
We study the dynamics of a higher-order family of iterative methods for solving non-linear equations. We show that these iterative root-finding methods are generally convergent when extracting radicals. We examine the Julia sets of these methods with particular polynomials. The examination takes place in the complex plane. © 2010 Elsevier Inc. All rights reserved.