Efficient Three-point Iterative Methods for Solving Nonlinear Equations
Authors
Xiaofeng Wang
Corresponding Author
Xiaofeng Wang
Available Online December 2015.
- DOI
- 10.2991/icmmcce-15.2015.101How to use a DOI?
- Keywords
- Multipoint iterative methods, Nonlinear equations, Convergence order
- Abstract
In this paper, we present a new family of three-point Newton type iterative methods for solving nonlinear equations. The order of convergence of the new family without memory is eight requiring the evaluations of three functions and one first-order derivative in per full iteration. Numerical examples are demonstrated to confirm theoretical results.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xiaofeng Wang PY - 2015/12 DA - 2015/12 TI - Efficient Three-point Iterative Methods for Solving Nonlinear Equations BT - Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015 PB - Atlantis Press SP - 504 EP - 507 SN - 2352-538X UR - https://doi.org/10.2991/icmmcce-15.2015.101 DO - 10.2991/icmmcce-15.2015.101 ID - Wang2015/12 ER -