General method for solving transcendental and algebraic equations by means of residuals
Generalization and Acceleration of an Algorithm of Sebastiao e Silva and its Duals.
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
Generalization of the secant method for nonlinear equations.
Géométrie des polynômes. Coût global moyen de la méthode de Newton
Géométrie sous-riemannienne
Geometry and convergence of some third-order methods.
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.