%0 Journal Article
%T On the Gauss-Newton method for solving equations
%A Argyros
%A Ioaniss K
%A Hitlout
%A Sa£¿d
%J Proyecciones (Antofagasta)
%D 2012
%I Universidad Cat¨®lica del Norte
%R 10.4067/S0716-09172012000100002
%X we use a combination of the center-lipschitz condition with the lipschitz condition condition on the frechet-derivative of the operator involved to provide a semilocal convergence analysis of the gauss-newton method to a solution of an equation. using more precise estimates on the distances involved, under weaker hypotheses, and under the same computational cost, we provide an analysis of the gauss- newton method with the following advantages over the corresponding results in [8]: larger convergence domain; finer error estimates on the distances involved, and an at least as precise information on the location ofthe solution
%K gauss-newton method
%K semilocal convergence
%K frechet- derivative
%K lipschitz/center-lipschitz condition
%K convergence domain.
%U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0716-09172012000100002&lng=en&nrm=iso&tlng=en