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
Geometry and convergence of some third-order methods.