A semilocal convergence result for Newton's method under generalized conditions of Kantorovich
From Kantorovich's theory we establish a general semilocal convergence result for Newton's method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain of starting points for Newton'...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| 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/5bbc69f7b750603269e82493 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69f7b750603269e82493 |
| Access Level: | acceso abierto |
| Palabra clave: | A priori error estimates Conservative problem Majorizing sequence Newton's method Semilocal convergence The Newton-Kantorovich theorem |
| Sumario: | From Kantorovich's theory we establish a general semilocal convergence result for Newton's method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain of starting points for Newton's method and improve the a priori error estimates. Finally, we illustrate our study with an application to a special case of conservative problems. © 2013 Elsevier Inc. All rights reserved. |
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