Local convergence for an almost sixth order method for solving equations under weak conditions

Abstract

A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. © 2017, Sociedad Española de Matemática Aplicada.