Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family and study the semilocal convergence for...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc68adb750603269e80d6b |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc68adb750603269e80d6b |
| Access Level: | acceso abierto |
| Palavra-chave: | Computational efficiency Conservative problem Divided difference Iterative method Kurchatov's method Nonlinear equations Order of convergence The secant method |
| Resumo: | From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family and study the semilocal convergence for differentiable and nondifferentiable operators. Finally, we apply our results to conservative problems. © 2012 Elsevier Ltd. |
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