On a convex acceleration of Newton's method
In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1999 |
| 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/5bbc69ebb750603269e823c8 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69ebb750603269e823c8 |
| Access Level: | acceso abierto |
| Palabra clave: | Convex acceleration of newton's method Majorizing sequences Newton-kantorovich assumptions Nonlinear equations |
| Sumario: | In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided. |
|---|