A construction procedure of iterative methods with cubical convergence II: Another convergence approach
We extend the analysis of convergence of the iterations considered in Ezquerro et al. [Appl. Math. Comput. 85 (1997) 181] for solving nonlinear operator equations in Banach spaces. We establish a different Kantorovich-type convergence theorem for this family and give some error estimates in terms of...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc697ab750603269e81be9 |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc697ab750603269e81be9 |
| Access Level: | acceso abierto |
| Palavra-chave: | Chebyshev's method Convex acceleration of Newton's method Error bound expression Iterative processes in banach spaces Majorizing sequences Newton-Kantorovich conditions |
| Resumo: | We extend the analysis of convergence of the iterations considered in Ezquerro et al. [Appl. Math. Comput. 85 (1997) 181] for solving nonlinear operator equations in Banach spaces. We establish a different Kantorovich-type convergence theorem for this family and give some error estimates in terms of a real parameter α ∈ [-5, 1). © 1998 Elsevier Science Inc. All rights reserved. |
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