Jacobian-Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously
[EN] This manuscript is devoted to a derivative-free parametric iterative step to obtain roots simultaneously for both nonlinear systems and equations. We prove that when it is added to an arbitrary scheme, it doubles the convergence order of the original procedure and defines a new algorithm that o...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/220055 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/220055 |
| Access Level: | acceso abierto |
| Palabra clave: | Derivative-free Iterative procedures Jacobian-free Nonlinear equations and systems Simultaneously |
| Sumario: | [EN] This manuscript is devoted to a derivative-free parametric iterative step to obtain roots simultaneously for both nonlinear systems and equations. We prove that when it is added to an arbitrary scheme, it doubles the convergence order of the original procedure and defines a new algorithm that obtains several solutions simultaneously. Different numerical experiments are carried out to check the behavior of the iterative methods by changing the value of the parameter and the initial guesses. Also, it performs a numerical example where the dynamical planes are carried out to see and compare the basins of attraction. |
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