In this study, we present a new highly efficient sixth-order family of iterative methods for solving nonlinear equations along with convergence properties. Further, we extend this family to the multidimensional case ...

We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used ...

Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...

The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies ...

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 ...

El estudio dinámico de los métodos iterativos ha aumentado en las últimas décadas debido al desarrollo de los ordenadores, aspecto por el cual se ha visto la necesidad de incluir la enseñanza de estos métodos en los planes ...

The main purpose of this work is the development of an application that allows compulsory secondary education teachers the assessment of the students’ maths competence. An equation of prediction is obtained in a pilot study ...