ON THE SEMILOCAL CONVERGENCE OF ULM'S METHOD
We provide sufficient convergence conditions for the semilocal convergence of Ulm's method  to a locally unique solution of an equation in a Banach space setting. Our results compare favorably to recent ones by Ezquerro and Hernandez  which have improved earlier ones , â€“, since under the same computational cost we provide: larger convergence domain; finer error bounds on the distances involved, and an at least as precise information on the location of the solution.
How to Cite
Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.