Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641450 | Journal of Computational and Applied Mathematics | 2008 | 10 Pages |
Abstract
In this paper we consider constructing some higher-order modifications of Newton’s method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration the resulting methods add only one additional function evaluation to increase the order. Some illustrative examples are provided and several numerical results are given to show the performance of the presented methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
YoonMee Ham, Changbum Chun, Sang-Gu Lee,