Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638613 | Journal of Computational and Applied Mathematics | 2015 | 9 Pages |
Abstract
In this paper, a unified point of view that includes the most of one-point Newton-type iterative methods for solving nonlinear equations is introduced. A simple idea to design iterative methods with quadratic or cubic convergence is also described. This idea is extended to construct one-point iterative methods of order four. In addition, several numerical examples are given to illustrate and compare different known methods and some introduced by using this unifying idea.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alicia Cordero, Cristina Jordán, Juan R. Torregrosa,