%0 Journal Article
%T On the Gauss-Newton method for solving equations
%A Ioaniss K Argyros
%A Sa£¿d Hitlout
%J Proyecciones (Antofagasta)
%D 2012
%I Universidad Cat¨®lica del Norte
%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_arttext&pid=S0716-09172012000100002