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On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations
Joint Authors
Amir Abadi, Morteza
Mohammadi Zadeh, Maryam
Cordero, Alicia
Torregrosa, Juan R.
Lotfi, Taher
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al.
(2009).
Accordingly, it requires four functional evaluations periteration with eighth-order convergence.
Consequently, it satisfies Kung and Traub’s conjecture relevant toconstruction optimal methods without memory.
Moreover, some concrete methods of this class are shownand implemented numerically, showing their applicability and efficiency.
American Psychological Association (APA)
Lotfi, Taher& Cordero, Alicia& Torregrosa, Juan R.& Amir Abadi, Morteza& Mohammadi Zadeh, Maryam. 2014. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049007
Modern Language Association (MLA)
Lotfi, Taher…[et al.]. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049007
American Medical Association (AMA)
Lotfi, Taher& Cordero, Alicia& Torregrosa, Juan R.& Amir Abadi, Morteza& Mohammadi Zadeh, Maryam. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049007