Über die Anwendung des Tschebyschew-Verfahrens zum Ausbau des Weierstraß-Kerner-Verfahrens

We extend the Weierstrass-Kerner method by applying the Chebychev method to the function F that Kerner has used to show that the formula of Weierstrass actually is the Newton method applied to that F. The resulting method is already known but we want to present the process in one go and in a detailed way.