Dynamics of a higher-order family of iterative methods
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. (C) 2010 Elsevier Inc. All rights reserved.
non-linear equations general convergence julia sets iterative processes order of convergence