Title: Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots
Author: Cadenas Román, Carlos Eduardo
Abstract: In this paper we give some geometric constructions of variations of Newton’s method, based on ideas of Schr¨oder, for the case that roots are multiple. A straight line and a polynomial are used to construct the iteration equation when the multiplicity of the root is known. In the case that the multiplicity is unknown another straight line and a rational function are used. Representative figures of an example are given.
