Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608729 | Journal of Complexity | 2012 | 20 Pages |
Abstract
Newton-like methods are often used for solving nonlinear equations. In the present paper, we introduce very general majorizing sequences for Newton-like methods. Then, we provide semi-local convergence results for these methods. The new convergence results can be weaker than in earlier studies. These new results are illustrated by several numerical examples and special cases of Newton-like methods, for which the older convergence conditions do not hold but for which our weaker convergence conditions are satisfied.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ioannis K. Argyros, Saïd Hilout,