Citation
Lotfi, Taher and Soleymani, Fazlollah and Noori, Zohreh and Kilicman, Adem and Haghani, Farhad Khaksar
(2014)
Efficient iterative methods with and without memory possessing high efficiency indices.
Discrete Dynamics in Nature and Society, 2014.
art. no. 912796.
pp. 1-9.
ISSN 1026-0226; ESSN: 1607-887X
Abstract
Two families of derivative-free methods without memory for approximating a simple zero of a nonlinear equation are presented. The proposed schemes have an accelerator parameter with the property that it can increase the convergence rate without any new functional evaluations. In this way, we construct a method with memory that increases considerably efficiency index from 8 ¼ ≈ 1.681 to 12 ¼ ≈ 1.861. Numerical examples and comparison with the existing methods are included to confirm theoretical results and high computational efficiency.
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Official URL or Download Paper: http://www.hindawi.com/journals/ddns/2014/912796/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2014/912796 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Iterative methods without memory; Iterative methods with memory |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 24 Aug 2015 11:26 |
| Last Modified: | 01 Oct 2015 02:40 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/912796 |
| URI: | http://psasir.upm.edu.my/id/eprint/37412 |
| Statistic Details: | View Download Statistic |
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