Abstract
The dynamics of a family of Newton's type iterative methods for second- and third-degree complex polynomials is studied. The conjugacy classes of these methods are presented. Classical properties of rational maps are used.
Acknowledgements
We would like to thank the referees and the editor for their comments and suggestions. S.A. and S.B. were supported in part by the Spanish grants MTM2004-07114 and 00675/PI/04. S.P. was supported by Fondecyt grant # 1020711 and Dicyt grant #0433.