On the local convergence of two novel schemes of convergence order eight for solving equations: An extension

Abstract

We extend the applicability of two eighth order schemes for solving nonlinear equations for Banach space valued equations.This is done by using assumptions only on the first derivative that does appear on the schemes, whereas in earlier works up to the ninth derivative (not on the scheme) are used to establish the convergence. Our technique is so general that it can be used to extend the usage of other schemes along the same lines. © 2021, International Publications. All rights reserved.