PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 62 (76), pp. 141--149 (1997)
Point estimation and the convergence of the Ehrlich-Aberth method
Miodrag S. Petkovi\'c and Sne\v zana M. Ili\'c}Elektronski fakultet, Nis, Yugoslavia
Abstract: 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.
Classification (MSC2000): 65H05
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