![](/images/graphics-bg.png)
A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order
Joint Authors
Soleymani, Fazlollah
Jamali Paghaleh, M.
Karimi Vanani, S.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A class of three-step eighth-order root solvers is constructed in this study.
Our aim is fulfilled by using an interpolatory rational function in the third step of a three-step cycle.
Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning multipoint iterative methods without memory.
Moreover, the class is free from derivative calculation per full iteration, which is important in engineering problems.
One method of the class is established analytically.
To test the derived methods from the class, we apply them to a lot of nonlinear scalar equations.
Numerical examples suggest that the novel class of derivative-free methods is better than the existing methods of the same type in the literature.
American Psychological Association (APA)
Soleymani, Fazlollah& Karimi Vanani, S.& Jamali Paghaleh, M.. 2012. A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028934
Modern Language Association (MLA)
Soleymani, Fazlollah…[et al.]. A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1028934
American Medical Association (AMA)
Soleymani, Fazlollah& Karimi Vanani, S.& Jamali Paghaleh, M.. A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028934