New conditions for the convergence of Newton-like methods and applications

作者：Argyros Ioannis K^*; Hilout Said

来源：Applied Mathematics and Computation, 2012, 219(6): 3279-3289.

DOI：10.1016/j.amc.2012.10.018

• Newton-like method
• Banach space
• Lipschitz condition
• Majorizing sequences
• Semilocal convergence

Newton-like method methods are often used for solving nonlinear equations in a Banach space setting. Using more precise majorizing sequences, we provide a tighter convergence analysis than in earlier studies such as [4,6,9,13,17-22,31-35,38-44]. Our results are illustrated by several numerical examples, for which older convergence conditions do not hold but for which our convergence criteria are satisfied. Published by Elsevier Inc.

• 出版日期2012-11-25