Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015

Efficient Three-point Iterative Methods for Solving Nonlinear Equations

Authors
Xiaofeng Wang
Corresponding Author
Xiaofeng Wang
Available Online December 2015.
DOI
https://doi.org/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.
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Proceedings
2015 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering
Part of series
Advances in Computer Science Research
Publication Date
December 2015
ISBN
978-94-6252-133-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmmcce-15.2015.101How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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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  - 2015 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering
PB  - Atlantis Press
SP  - 504
EP  - 507
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmcce-15.2015.101
DO  - https://doi.org/10.2991/icmmcce-15.2015.101
ID  - Wang2015/12
ER  -