The famous Traub's method for solving Banach space valued equations is revisited. Two techniques are developed to determine a subset of the original convergence domain. This way the new Lipschitz constants are at least as tight as the earlier ones leading to a finer convergence analysis in both the local as well as the semi-local convergence case. These techniques are very general, so they can be used to extend the applicability of other methods without additional hypotheses. Numerical experiments complete this study. (C) 2021 Elsevier Inc. All rights reserved.
展开▼
