A Family of Iterative Methods with Accelerated Eighth-Order Convergence
Joint Authors
Fardi, Mojtaba
Ghasemi, Mehdi
Cordero, Alicia
Torregrosa, Juan R.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We propose a family of eighth-order iterative methods without memory for solving nonlinear equations.
The new iterative methods are developed by using weight function method and using an approximation for the last derivative, which reduces the required number of functional evaluations per step.
Their efficiency indices are all found to be 1.682.
Several examples allow us to compare our algorithms with known ones and confirm the theoretical results.
American Psychological Association (APA)
Cordero, Alicia& Fardi, Mojtaba& Ghasemi, Mehdi& Torregrosa, Juan R.. 2012. A Family of Iterative Methods with Accelerated Eighth-Order Convergence. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028802
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. A Family of Iterative Methods with Accelerated Eighth-Order Convergence. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-1028802
American Medical Association (AMA)
Cordero, Alicia& Fardi, Mojtaba& Ghasemi, Mehdi& Torregrosa, Juan R.. A Family of Iterative Methods with Accelerated Eighth-Order Convergence. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028802
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028802
