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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior |
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| Authors: | A Cordero M Fardi M Ghasemi J R Torregrosa |
| Affiliation: | 1. Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain 2. Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran 3. Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, Iran |
| Abstract: | In this paper, we present a family of optimal, in the sense of Kung–Traub’s conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun’s fourth-order method. We use the Ostrowski’s efficiency index and several numerical tests in order to compare the new methods with other known eighth-order ones. We also extend this comparison to the dynamical study of the different methods. |
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