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Efficient iterative methods with and without memory possessing high efficiency indices


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 / Synopsis

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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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 19:26
Last Modified: 01 Oct 2015 10:40
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
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