A New Ehrlich-Type Sixth-Order Simultaneous Method for Polynomial Complex Zeros

Abstract

This paper presents a new iterative method for the simultaneous determination of simple polynomial zeros. The proposed method is obtained from the combination of the third-order Ehrlich iteration with an iterative correction derived from Li's fourth-order method for solving nonlinear equations. The combined method developed has order of convergence six. Some examples are presented to illustrate the convergence and efficiency of the proposed Ehrlich-type method with Li correction for the simultaneous approximation of polynomial zeros.

Keywords

• Polynomial zeros
• Simultaneous iterative methods
• Ehrlich method
• Li's fourth-order method