Generalization and Acceleration of an Algorithm of Sebastiao e Silva and its Duals.
Géométrie sous-riemannienne
Global Approximate Newton Methods.
Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations
In this paper, we discuss the globalization of some kind of modified Levenberg-Marquardt methods for nonsmooth equations and their applications to nonlinear complementarity problems. In these modified Levenberg-Marquardt methods, only an approximate solution of a linear system at each iteration is required. Under some mild assumptions, the global convergence is shown. Finally, numerical results show that the present methods are promising.