A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations
Joint Authors
Eftekhari, Tahereh
Lotfi, Taher
Source
Chinese Journal of Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Based on Ostrowski's method, a new family of eighth-order iterative methods for solving nonlinear equations by using weight function methods is presented.
Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative.
Therefore, this family of methods has the efficiency index which equals 1.682.
Kung and Traub conjectured that a multipoint iteration without memory based on n evaluations could achieve optimal convergence order 2n−1.
Thus, we provide a new class which agrees with the conjecture of Kung-Traub for n=4.
Numerical comparisons are made to show the performance of the presented methods.
American Psychological Association (APA)
Lotfi, Taher& Eftekhari, Tahereh. 2014. A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-466596
Modern Language Association (MLA)
Lotfi, Taher& Eftekhari, Tahereh. A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-466596
American Medical Association (AMA)
Lotfi, Taher& Eftekhari, Tahereh. A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-466596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466596