Publicação
Análise semi-local do método de Gauss-Newton sob uma condição majorante
| Resumo: | In this dissertation we present a semi-local convergence analysis for the Gauss-Newton method to solve a special class of systems of non-linear equations, under the hypothesis that the derivative of the non-linear operator satisfies a majorant condition. The proofs and conditions of convergence presented in this work are simplified by using a simple majorant condition. Another tool of demonstration that simplifies our study is to identify regions where the iteration of Gauss-Newton is “well-defined”. Moreover, special cases of the general theory are presented as applications. |
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| Autores principais: | Aguiar, Ademir Alves |
| Assunto: | Método de Gauss-Newton Condição majorante Sistemas de equações não-linear Convergência semi-local Gauss-Newton method Majorant condition Non-linear systems of equations Semi-local convergence CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Ano: | 2015 |
| País: | Brasil |
| Tipo de documento: | dissertação de mestrado |
| Tipo de acesso: | unknown |
| Instituição associada: | IBICT |
| Idioma: | português |
| Origem: | Oasisbr |
| Resumo: | In this dissertation we present a semi-local convergence analysis for the Gauss-Newton method to solve a special class of systems of non-linear equations, under the hypothesis that the derivative of the non-linear operator satisfies a majorant condition. The proofs and conditions of convergence presented in this work are simplified by using a simple majorant condition. Another tool of demonstration that simplifies our study is to identify regions where the iteration of Gauss-Newton is “well-defined”. Moreover, special cases of the general theory are presented as applications. |
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