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.

引用

页数：8

共 50 条

[31] Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions
Zafar, Fiza
Cordero, Alicia
Junjua, Moin-Ud-Din
Torregrosa, Juan R.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
[32] Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions
Fiza Zafar
Alicia Cordero
Moin-Ud-Din Junjua
Juan R. Torregrosa
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[33] New Iterative Methods With Seventh-Order Convergence For Solving Nonlinear Equations
Fardi, M.
Ghasemi, M.
Davari, A.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 31 - 37
[34] An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics
Matthies, Gunar
Salimi, Mehdi
Sharifi, Somayeh
Luis Varona, Juan
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2016, 33 (03) : 751 - 766
[35] An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics
Gunar Matthies
Mehdi Salimi
Somayeh Sharifi
Juan Luis Varona
Japan Journal of Industrial and Applied Mathematics, 2016, 33 : 751 - 766
[36] An Optimal Family of Eighth-Order Iterative Methods with an Inverse Interpolatory Rational Function Error Corrector for Nonlinear Equations
Kim, Young I.
Behl, Ramandeep
Motsa, Sandile S.
MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (03) : 321 - 336
[37] Comparative study of eighth-order methods for finding simple roots of nonlinear equations
Chun, Changbum
Neta, Beny
NUMERICAL ALGORITHMS, 2017, 74 (04) : 1169 - 1201
[38] A general class of optimal eighth-order derivative free methods for nonlinear equations
Ramandeep Behl
Ali Saleh Alshomrani
Changbum Chun
Journal of Mathematical Chemistry, 2020, 58 : 854 - 867
[39] A General Way to Construct a New Optimal Scheme with Eighth-Order Convergence for Nonlinear Equations
Behl, Ramandeep
Chun, Changbum
Alshormani, Ali Saleh
Motsa, S. S.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2020, 17 (01)
[40] Efficient optimal eighth-order derivative-free methods for nonlinear equations
Soleymani, Fazlollah
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 30 (02) : 287 - 306

← 1 2 3 4 5 →