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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf |
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| author | Lotfi, Taher Soleymani, Fazlollah Noori, Zohreh Kilicman, Adem Haghani, Farhad Khaksar |
| author_facet | Lotfi, Taher Soleymani, Fazlollah Noori, Zohreh Kilicman, Adem Haghani, Farhad Khaksar |
| author_sort | Lotfi, Taher |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:38:18Z |
| format | Article |
| id | upm.eprints-37412 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:38:18Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Lotfi, Taher Soleymani, Fazlollah Noori, Zohreh Kilicman, Adem Haghani, Farhad Khaksar Efficient iterative methods with and without memory possessing high efficiency indices |
| title | 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_short | Efficient iterative methods with and without memory possessing high efficiency indices |
| title_sort | efficient iterative methods with and without memory possessing high efficiency indices |
| url | http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf |
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