Chaos in King&apos
In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence prop...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/54862 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/54862 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear equations Iterative methods Dynamical behavior Quadratic polynomials Fatou and Julia sets King&apos s family MATEMATICA APLICADA |
| Sumario: | In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence properties, and also other ones with stable behavior. (C) 2013 Elsevier Ltd. All rights reserved. |
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