On the convergence of a damped Newton-like method with modified right hand side vector
[EN] We present a convergence analysis for a damped Newton-like method with modified righthand 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 Rm, our method provides computable error...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/64680 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/64680 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Damped Newton method Banach space Local/semi-local convergence MATEMATICA APLICADA |
| Resumo: | [EN] We present a convergence analysis for a damped Newton-like method with modified righthand 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 Rm, our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as. Numerical examples further validating the theoretical results are also presented in this study |
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