On the R-order of the Halley method
An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations. © 2004 Elsevier...
| 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/5bbc69f8b750603269e824ac |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69f8b750603269e824ac |
| Access Level: | acceso abierto |
| Palabra clave: | A priori error estimates Halley's method Nonlinear equations in Banach spaces R-order of convergence Recurrence relations Semilocal convergence theorem |
| Sumario: | An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations. © 2004 Elsevier Inc. All rights reserved. |
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