Expanding the applicability of some high order Househölder-like methods
This paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller γ-parameters, which in turn l...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| 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/5bbc6951b750603269e81904 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6951b750603269e81904 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach space Househölder-like methods Nonlinear systems of equations Semilocal convergence γ-like conditions |
| Sumario: | This paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller γ-parameters, which in turn lead to the following advantages over earlier works (and under the same computational cost): larger convergence domain; tighter error bounds on the distances involved, and at least as precise information on the location of the solution. © 2017 by the authors. |
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