efficient iterative methods with and without memory possessing high efficiency indices
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ID: 212308
2014
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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 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.
| Reference Key |
lotfi2014discreteefficient
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|---|---|
| Authors | ;T. Lotfi;F. Soleymani;Z. Noori;A. Kılıçman;F. Khaksar Haghani |
| Journal | Journal of the American Heart Association |
| Year | 2014 |
| DOI |
10.1155/2014/912796
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| URL | |
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