A Comparison Between Two Ostrowski-type Fourth Order Methods for Solving Equations Under the Same Set of Conditions

Abstract

In this study, we compare two Ostrowski-type fourth order methods for solving equations under the same set of conditions Our convergence analysis is based on the first Fréchet derivative that only appears on the method. Earlier studies use up to the fifth derivative to show convergence. The conditions limit their usage, especially since these derivatives are not on these methods. Numerical examples where the theoretical results are tested complete the paper. © 2022, International Publications. All rights reserved.