Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635729 | Applied Mathematics and Computation | 2006 | 6 Pages |
Abstract
In this paper, we present a new modification of Newton method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Per iteration the new method requires two evaluations of the function and one evaluation of its first derivative. Thus, the new method is preferable if the computational costs of the first derivative are equal or more than those of the function itself. Its practical utility is demonstrated by numerical examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jisheng Kou, Yitian Li, Xiuhua Wang,