A new third-order iterative process for solving nonlinear equations.
In this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc69f3b750603269e82444 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69f3b750603269e82444 |
| Access Level: | acceso abierto |
| Palabra clave: | A priori error bounds Convergence theorem Multipoint iterations Nonlinear equations in Banach spaces Recurrence relations Third-order method |
| Sumario: | In this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes. |
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