Efficient Three-point Iterative Methods for Solving Nonlinear Equations

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/).

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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  -