Filomat 2003 Volume , Issue 17, Pages: 35-46
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On the fourth order zero-finding methods for polynomials

Ilić Snežana M., Rančić Lidija

The fourth order methods for the simultaneous approximation of simple complex zeros of a polynomial are considered. The main attention is devoted to a new method that may be regarded as a modification of the well known cubically convergent Ehrlich-Aberth method. It is proved that this method has the order of convergence equals four. Two numerical examples are given to demonstrate the convergence behavior of the studied methods.

Keywords: zeros of polynomials, fourth order methods, simultaneous methods, convergence