A BALL COMPARISON BETWEEN EXTENDED MODIFIED JARRATT METHODS UNDER THE SAME SET OF CONDITIONS FOR SOLVING EQUATIONS AND SYSTEMS OF EQUATIONS

Abstract

In this paper, we compare the radii of convergence of Jarratt-type methods under the same set of conditions for solving nonlinear equations and systems of equations. Our convergence analysis is based on the first Fréchet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper © Petrozavodsk State University, 2022