On the R-order of convergence of Newton's method under mild differentiability conditions.
A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered. © 2005 Elsevier B.V. All rights reserved.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| 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/5bbc69fcb750603269e824ec |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69fcb750603269e824ec |
| Access Level: | acceso abierto |
| Palabra clave: | A priori error bounds Newton's method Nonlinear equations in Banach spaces Nonlinear integral equation R-order of convergence Semilocal convergence theorem |
| Sumario: | A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered. © 2005 Elsevier B.V. All rights reserved. |
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