| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641949 | Journal of Computational and Applied Mathematics | 2008 | 10 Pages |
Abstract
In this paper, we discuss two variants of Newton's method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. The numerical examples are presented to support the usefulness and significance.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Quan Zheng, Rongxia Bai, Zhongli Liu,