A Family of Iterative Methods for Simultaneous Computing of All Zeros of Algebraic Equation

This study deals with a family of multi-point iterative methods of arbitrary order of convergence for simultaneous computing of all roots of an algebraic equation. These methods are analogues of the well known method for computing of a single root of a nonlinear equation. Some known methods for simultaneous finding of all roots of algebraic equations are special cases of the family considered. Numerical examples are provided.