Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640377 | Journal of Computational and Applied Mathematics | 2010 | 11 Pages |
Abstract
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-Hölder condition on the operator involved, and use it in combination with the Hölder 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hongmin Ren, Ioannis K. Argyros,