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Several iterative methods with memory using self-accelerators
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DOI：10.1016/j.amc.2015.01.045.png)
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Abstract
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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
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