On the convergence of a damped-secant method with modified right-hand side vector
[EN] We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on Ri , our method provides computable error est...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/64697 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/64697 |
| Access Level: | acceso abierto |
| Palabra clave: | Damped Secant method Banach space Local/semi-local convergence MATEMATICA APLICADA |
| Sumario: | [EN] We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on Ri , our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as (Herceg et al., 1996; Krejic´, 2002). Numerical examples further validating the theoretical results are also presented in this study. |
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