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Dynamics of a higher-order family of iterative methods. (English) Zbl 1215.65094
Authors’ 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.
MSC:
65H05Single nonlinear equations (numerical methods)
65E05Numerical methods in complex analysis
References:
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