2015-03-062014-12-18AGUIAR, A. A. Análise semi-local do método de Gauss-Newton sob uma condição majorante. 2014. 56 f. Dissertação (Mestrado em Matemática)–Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tede/4251In 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.application/pdfAcesso AbertoMétodo de Gauss-NewtonCondição majoranteSistemas de equações não-linearConvergência semi-localGauss-Newton methodMajorant conditionNon-linear systems of equationsSemi-local convergenceCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação