A Procedure for Obtaining a Family of Iterative Formulas for Finding Zeros of Functions

Dragomir Simeunović

In this paper a family of iterative formulas for finding zeros of functions is obtained. The family includes the Laguerre method. All the methods of the family are cubically convergent for a simple zero. The superior behavior of Laguerre method when starting from the point $x_{k}$ for which $|x_{k}|$ is large, is also explained.