Article ID Journal Published Year Pages File Type
4608891 Journal of Complexity 2011 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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