On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations

被引：2
|
作者：
Lotfi, Taher [1 ]
Cordero, Alicia [2 ]
Torregrosa, Juan R. [2 ]
Abadi, Morteza Amir [1 ]
Zadeh, Maryam Mohammadi [1 ]
机构：
[1] Islamic Azad Univ, Hamedan Branch, Dept Appl Math, Hamadan 65188, Iran
[2] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
OPTIMAL ORDER; 8TH ORDER; FAMILY;
D O I：
10.1155/2014/272949
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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 per iteration with eighth-order convergence. Consequently, it satisfies Kung and Traub's conjecture relevant to construction optimal methods without memory. Moreover, some concrete methods of this class are shown and implemented numerically, showing their applicability and efficiency.
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页数：8
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