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On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
It is attempted to present an efficient and free derivative class of Steffensen-like methods for solving nonlinear equations.
To this end, firstly, we construct an optimal eighth-order three-step uniparameter without memory of iterative methods.
Then the self-accelerator parameter is estimated using Newton’sinterpolation in such a way that it improves its convergence order from 8 to 12 without any extra function evaluation.
Therefore, its efficiency index is increased from 81/4 to 121/4 which is the main feature of this class.
To show applicability of the proposed methods, some numerical illustrations are presented.
American Psychological Association (APA)
Lotfi, Taher& Tavakoli, Elahe. 2014. On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050991
Modern Language Association (MLA)
Lotfi, Taher& Tavakoli, Elahe. On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1050991
American Medical Association (AMA)
Lotfi, Taher& Tavakoli, Elahe. On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050991