s methodPerformance profilesAn alternative strategy for solving systems of nonlinear equations when the classical Newton’s method fails is presented. The proposed strategy is an extension for systems based on the idea presented in the article (Ramos and Vigo-Aguiar, 2015). It relies in obtaining ...
s method when the majorant principle of Kantorovich is applied to operators with high order derivatives satisfying a center Lipschitz type condition, so that we extend the classical conditions of these type, that are centered at the starting point of Newton’s method, to other points belonging ...