Publicação
Unificando o análise local do método de Newton em variedades Riemannianas
| Resumo: | In this work we consider the problem of finding a singularity of a field of differentiable vectors X on a Riemannian manifold. We present a local analysis of the convergence of Newton's method to find a singularity of field X on an increasing condition. The analysis shows a relationship between the major function and the vector field X. We also present a semi-local Kantorovich type analysis in the Riemannian context under a major condition. The two results allow to unify some previously unrelated results. |
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| Autores principais: | Guevara, Stefan Alberto Gómez |
| Assunto: | Convergência local Convergência semi-local Função majorante Método de Newton Variedades Riemannianas Local convergence Newton's method Majorant principle Riemannian manifold Semi-local convergênce CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Ano: | 2017 |
| País: | Brasil |
| Tipo de documento: | dissertação de mestrado |
| Tipo de acesso: | unknown |
| Instituição associada: | IBICT |
| Idioma: | português |
| Origem: | Oasisbr |
| Resumo: | In this work we consider the problem of finding a singularity of a field of differentiable vectors X on a Riemannian manifold. We present a local analysis of the convergence of Newton's method to find a singularity of field X on an increasing condition. The analysis shows a relationship between the major function and the vector field X. We also present a semi-local Kantorovich type analysis in the Riemannian context under a major condition. The two results allow to unify some previously unrelated results. |
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