Local comparison of two sixth order solvers in banach space under weak conditions

Abstract

Two efficient sixth order solvers are compared involving Banach space valued operators. Earlier papers use hypotheses up to the seventh derivative that do not appear in the solver in the local convergence analysis. But we use hypotheses only on the first derivative. Hence, we expand the applicability of these solvers. We use examples to test the older as well as our results. 2019, Erdal Karapinar. All rights reserved.