Two Optimal General Classes of Iterative Methods with Eighth-Order |
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| Authors: | Alicia Cordero Taher Lotfi Katayoun Mahdiani Juan R Torregrosa |
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| Institution: | 1. Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, s/n, 46022, Valencia, Spain
2. Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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| Abstract: | Two new three-step classes of optimal iterative methods to approximate simple roots of nonlinear equations, satisfying the Kung-Traub’s conjecture, are designed. The development of the methods and their convergence analysis are provided joint with a generalization of both processes. In order to check the goodness of the theoretical results, some concrete methods are extracted and numerical and dynamically compared with some known methods. |
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