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An Overview on Steffensen-Type Methods
(Advances in iterative methods for nonlinear equations, 2016)
In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different ...
Study of a high order family: Local convergence and dynamics
(Mathematics, 2019-03-01)
The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 2016-08)
We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...