Super Ostrowski Homotopy Continuation Method for Solving Polynomial System of Equations

Abstract

Homotopy continuation methods (HCMs) can be used to find the solutions of polynomial equations. The advantages of HCMs over classical methods such as the Newton and bisection methods are that HCMs are able to resolve divergence and starting value problems. In this paper, we develop Super Ostrowski-HCM as a technique to overcome the starting value problem.  We compare the performance of this proposed method with Ostrowski-HCM. The results provide evidence of the superiority of Super Ostrowski-HCM.