Citation
Nik Long, Nik Mohd Asri and Salimi, Mehdi and Sharifi, Somayeh and Pansera, Bruno Antonio
(2018)
A multi-point iterative method for solving nonlinear equations with optimal order of convergence.
Japan Journal of Industrial and Applied Mathematics, 35.
497 - 509.
ISSN 1868-937X; ESSN: 0916-7005
Abstract
In this study, a three-point iterative method for solving nonlinear equations is presented. The purpose is to upgrade a fourth order iterative method by adding one Newton step and using a proportional approximation for last derivative. Per iteration this method needs three evaluations of the function and one evaluation of its first derivatives. In addition, the efficiency index of the developed method is √4 8 ≈ 1.682 which supports the Kung-Traub conjecture on the optimal order of convergence. Moreover, numerical and graphical comparison of the proposed method with other existing methods with the same order of convergence are given.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1007/s13160-017-0294-4 |
| Publisher: | Springer |
| Keywords: | Multi-point iterative methods; Simple root; Order of convergence; Kung and Traub’s conjecture; Efficiency index |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 27 Nov 2020 20:11 |
| Last Modified: | 27 Nov 2020 20:11 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s13160-017-0294-4 |
| URI: | http://psasir.upm.edu.my/id/eprint/72929 |
| Statistic Details: | View Download Statistic |
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