On a characterization of some Newton-like methds of R-order at least three.
In this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| 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/5bbc69f9b750603269e824b8 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69f9b750603269e824b8 |
| Access Level: | acceso abierto |
| Palabra clave: | Iterative processes R-order of convergence Semilocal convergence |
| Sumario: | In this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of a multiparametric family of iterative processes in Banach spaces for solving the nonlinear equation F (x) = 0. © 2005 Elsevier B.V. All rights reserved. |
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