Análise semi-local do método de Gauss-Newton sob uma condição majorante
Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Dáta a fhoilsithe: | 2014 |
| Formáid: | Master thesis |
| Teanga: | por |
| Foinse: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/4251 |
Achoimre: | 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. |
Míreanna comhchosúla: Análise semi-local do método de Gauss-Newton sob uma condição majorante
- Unificando o análise local do método de Newton em variedades Riemannianas
- Newton's method for solving strongly regular generalized equation
- Newton's methods under the majorant principle on Riemannian manifolds
- Inexact methods for constrained optimization problems and for constrained monotone nonlinear equations
- Método de Newton para encontrar zeros de uma classe especial de funções semi-suaves
- Methods for constrained nonlinear systems: inexact Newton-like conditional gradient and Levenberg-Marquardt with inexact projections