On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations
Joint Authors
Haghani, F. Khaksar
Noori, Z.
Mahdiani, K.
Shateyi, Stanford
Lotfi, Taher
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A class of derivative-free methods without memory for approximating a simple zero of a nonlinear equation is presented.
The proposed class uses four function evaluations per iteration with convergence order eight.
Therefore, it is an optimal three-step scheme without memory based on Kung-Traub conjecture.
Moreover, the proposed class has an accelerator parameter with the property that it can increase the convergence rate from eight to twelve without any new functional evaluations.
Thus, we construct a with memory method that increases considerably efficiency index from 8 1 / 4 ≈ 1.681 to 12 1 / 4 ≈ 1.861 .
Illustrations are also included to support the underlying theory.
American Psychological Association (APA)
Lotfi, Taher& Mahdiani, K.& Noori, Z.& Haghani, F. Khaksar& Shateyi, Stanford. 2014. On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1048414
Modern Language Association (MLA)
Lotfi, Taher…[et al.]. On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1048414
American Medical Association (AMA)
Lotfi, Taher& Mahdiani, K.& Noori, Z.& Haghani, F. Khaksar& Shateyi, Stanford. On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1048414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048414