Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625862 | Applied Mathematics and Computation | 2016 | 9 Pages |
Abstract
In this paper, we consider the semilocal convergence for modifications of Chebyshev–Halley methods in Banach space. Compared with the results on super-Halley method studied in reference Gutiérrez and Hernández (1998)these modified methods need less computation of inversion, the R-order is improved, and the Lipschitz continuity of second derivative is also relaxed. We prove a theorem to show existence-uniqueness of solution. The R-order for these modified methods is analyzed under generalized condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiuhua Wang, Jisheng Kou,