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Several iterative methods with memory using self-accelerators

delete2015-03-01
delete31
PRE
AI
F
Fazlollah Soleymani *
T
Taher Lotfi
E
Elahe Tavakoli
F
F. Khaksar Haghani
DOI:10.1016/j.amc.2015.01.045delete
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Abstract

Abstract

En 中文
We derive new iterative methods with memory for approximating a simple zero of a nonlinear single variable function. To this end, we first consider several modifications on some existing optimal classes without memory in such a way that their extensions to cases with memory could obtain the higher efficiency index 12(1/4) approximate to 1.86120. Furthermore, we construct our main method with memory using three self-accelerators. It is demonstrated that this new scheme possesses the very high efficiency index 7.23814(1/3) approximate to 1.93438. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Iterative methods
R-order
With memory
Tri-parametric

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

I
Islamic Azad University
Scholars:
4.0W
Papers: 3.3W
Citations: 9.8K
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