Local convergence of osada’s method for finding zeros with multiplicity

Abstract

We provide an extended local convergence of Osada’s method for approximating a zero of a nonlinear equation with multiplicitym, where m is a natural number. The new technique provides a tighter convergence analysis under the same computational cost as in earlier works. This technique can be used on other iterative methods too. Numerical examples further validate the theoretical results. © 2020 by Nova Science Publishers, Inc. All rights reserved.