Análise semi-local do método de Gauss-Newton sob uma condição majorante

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Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Aguiar, Ademir Alves
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.

Cur síos
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.

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