Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems
[EN] A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical behavior of this class in the context of scalar nonlinear equations is presented. T...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| 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:10251/179232 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/179232 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear system Iterative method Divided difference operator Stability Parameter plane Dynamical plane MATEMATICA APLICADA |
| Sumario: | [EN] A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical behavior of this class in the context of scalar nonlinear equations is presented. This study gives us important information about the stability and reliability of the members of the family. The numerical results obtained by applying different elements of the family for solving the Hammerstein integral equation and the Fisher¿s equation confirm the theoretical results. |
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