Análise semi-local do método de Gauss-Newton sob uma condição majorante
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| Hlavní autor: | |
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| Datum vydání: | 2014 |
| Médium: | Master thesis |
| Jazyk: | por |
| Zdroj: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/4251 |
Shrnutí: | 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. |