Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices
Joint Authors
Haghani, F. Khaksar
Soleymani, Fazlollah
Noori, Z.
Kiliçman, Adem
Lotfi, Taher
Source
Discrete Dynamics in Nature and Society
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
Abstract EN
Two families of derivative-free methods without memory for approximating a simple zero of a nonlinear equation are presented.
The proposed schemes have an accelerator parameter with the property that it can increase the convergence rate without any new functional evaluations.
In this way, we construct a method with memory that increases considerably efficiency index from 81/4≈1.681 to 121/4≈1.861.
Numerical examples and comparison with the existing methods are included to confirm theoretical results and high computational efficiency.
American Psychological Association (APA)
Lotfi, Taher& Soleymani, Fazlollah& Noori, Z.& Kiliçman, Adem& Haghani, F. Khaksar. 2014. Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1035040
Modern Language Association (MLA)
Lotfi, Taher…[et al.]. Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1035040
American Medical Association (AMA)
Lotfi, Taher& Soleymani, Fazlollah& Noori, Z.& Kiliçman, Adem& Haghani, F. Khaksar. Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1035040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1035040
