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Efficient iterative methods with and without memory possessing high efficiency indices

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 constru...

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Main Authors: Lotfi, Taher, Soleymani, Fazlollah, Noori, Zohreh, Kilicman, Adem, Haghani, Farhad Khaksar
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf
http://psasir.upm.edu.my/id/eprint/37412/
http://www.hindawi.com/journals/ddns/2014/912796/
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spelling my.upm.eprints.374122015-10-01T02:40:30Z http://psasir.upm.edu.my/id/eprint/37412/ Efficient iterative methods with and without memory possessing high efficiency indices Lotfi, Taher Soleymani, Fazlollah Noori, Zohreh Kilicman, Adem Haghani, Farhad Khaksar 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf 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 http://www.hindawi.com/journals/ddns/2014/912796/ 10.1155/2014/912796
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Lotfi, Taher
Soleymani, Fazlollah
Noori, Zohreh
Kilicman, Adem
Haghani, Farhad Khaksar
spellingShingle Lotfi, Taher
Soleymani, Fazlollah
Noori, Zohreh
Kilicman, Adem
Haghani, Farhad Khaksar
Efficient iterative methods with and without memory possessing high efficiency indices
author_facet Lotfi, Taher
Soleymani, Fazlollah
Noori, Zohreh
Kilicman, Adem
Haghani, Farhad Khaksar
author_sort Lotfi, Taher
title Efficient iterative methods with and without memory possessing high efficiency indices
title_short Efficient iterative methods with and without memory possessing high efficiency indices
title_full Efficient iterative methods with and without memory possessing high efficiency indices
title_fullStr Efficient iterative methods with and without memory possessing high efficiency indices
title_full_unstemmed Efficient iterative methods with and without memory possessing high efficiency indices
title_sort efficient iterative methods with and without memory possessing high efficiency indices
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf
http://psasir.upm.edu.my/id/eprint/37412/
http://www.hindawi.com/journals/ddns/2014/912796/
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score 13.211869

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