| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4635716 | Applied Mathematics and Computation | 2006 | 6 Pages |
Abstract
In this paper, we present a family of new second-derivative-free variants of Chebyshev's method, in which fâ²(x)Â =Â 0 in some points is permitted. Analysis of convergence shows that the new methods are cubically convergent. Analysis of efficiency, in term of function evaluations, shows that the new methods have the great practical utility, which is demonstrated by numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kou Jisheng, Li Yitian, Wang Xiuhua,