On the local convergence of inexact Newton-type methods under residual control-type conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Ren, Hongmin²  Argyros, Ioannis K.¹ 

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Hangzhou Radio & TV Univ, Dept Elect & Informat, Hangzhou 310012, Zhejiang, Peoples R China

关键词: Inexact Newton-type method;    Radius of convergence;    Banach space;    Holder condition;    Center-Holder condition;    Local convergence;   

DOI  :  10.1016/j.cam.2010.05.035

来源: Elsevier

【 摘 要 】

A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-Holder condition on the operator involved, and use it in combination with the Holder condition to provide a new local convergence analysis with the following advantages: larger radius of convergence, and tighter error bounds on the distances involved. These results are obtained under the same hypotheses and computational cost. Numerical examples further validating the theoretical results are also provided in this study. Published by Elsevier B.V.

【 授权许可】

Free