Point Estimation and the Convergence of the Ehrlich-aberth Method


Miodrag_S. Petković, Snežana_M. Ilić}


The choice of starting points that provide a safe convergence of a given iterative method has an important role in solving nonlinear equations. In this paper we consider the Ehrlich-Aberth method for the simultaneous approximation of all simple zeros of a polynomial. For this method we state practically applicable initial conditions depending only on initial approximations, which enable the safe convergence.