Expanding the applicability of Inexact Newton Methods under Smale鈥檚 (伪, 纬)-theory

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• 作者：Ioannis K. Argyros ; Sanjay K. Khattri ; Sa茂d Hilout
• 关键词：Inexact Newton Method ; Banach space ; 纬纬-Condition ; Smale&rsquo ; s 伪伪-theory ; Fré ; chet-derivative
• 刊名：Applied Mathematics and Computation
• 出版年：1 November, 2013
• 年：2013
• 卷：224
• 期：Complete
• 页码：224-237
• 全文大小：586 K

文摘

We present a new semilocal convergence analysis for an Inexact Newton Method (INM) using Smale鈥檚 ()-theory. Our approach is based on the concept of center--condition. Developed sufficient convergence conditions are weaker and the error estimates are tighter than those proposed in earlier studies such as Shen and Li , Guo , Smale , Morini , Argyros and Argyros and Hilout . Numerical examples illustrating the theoretical results are also provided in this study.