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On the choice of the best members of the Kim family and the improvement of its convergence |
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| Authors: | Francisco Israel Chicharro López Alicia Cordero Neus Garrido Juan Ramon Torregrosa |
| Institution: | 1. Escuela Superior de Ingeniería y Tecnología, Universidad Internacional de La Rioja, Logroño, Spain;2. Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, València, Spain |
| Abstract: | The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory is presented in order to obtain information about the stability of them. Numerical experiments are shown for confirming the theoretical results. |
| Keywords: | basin of attraction iterative methods with memory low-dimensional dynamical systems nonlinear algebraic or transcendental equations parameter plane stability |