Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices

T. Lotfi, F. Soleymani, Z. Noori, A. Kılıçman and F. Khaksar Haghani

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-9

Abstract:

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 to . Numerical examples and comparison with the existing methods are included to confirm theoretical results and high computational efficiency.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:912796

DOI: 10.1155/2014/912796

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