Semilocal Convergence of the Secant Method under Mild Convergence Conditions of Differentiability
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder continuous conditions. Also, we obtain a result f...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| 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/5bbc69f3b750603269e82450 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69f3b750603269e82450 |
| Access Level: | acceso abierto |
| Palabra clave: | Boundary value problems Recurrence relations The secant method |
| Sumario: | In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder continuous conditions. Also, we obtain a result for uniqueness of solutions. © 2002 Elsevier Science Ltd. All rights reserved. |
|---|