New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction
[EN] We present a new Jarratt-type family of optimal fourth- and sixth-order iterative methods for solving nonlinear equations, along with their convergence properties. The schemes are extended to nonlinear systems of equations with equal convergence order. The stability properties of the vectorial...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| 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:10251/192213 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/192213 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear systems Iterative methods Stability analysis Symmetric basins of attraction MATEMATICA APLICADA |
| Sumario: | [EN] We present a new Jarratt-type family of optimal fourth- and sixth-order iterative methods for solving nonlinear equations, along with their convergence properties. The schemes are extended to nonlinear systems of equations with equal convergence order. The stability properties of the vectorial schemes are analyzed, showing their symmetric wide sets of converging initial guesses. To illustrate the applicability of our methods for the multidimensional case, we choose some real world problems such as kinematic syntheses, boundary value problems, Fisher's and Hammerstein's integrals, etc. Numerical comparisons are given to show the performance of our schemes, compared with the existing efficient methods. |
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