A family of simultaneous zero finding methods

Abstract

A class of iterative methods with arbitrary high order of convergence for the simultaneous approximation of multiple complex zeros is considered in this paper. A special attention is paid to the fourth order method and its modifications because of their good computational efficiency. The order of convergence of the presented methods is determined. Numerical examples are given.

Keywords:

• Iterative methods
• polynomial zeros
• order of convergence

C.R. Categories:

• 5.15