Key points are not available for this paper at this time.
A number of iterative schemes with high convergence order to solve nonlinear equations are presented in the literature. In this paper, a sixth-order multiple-zero finder has been developed and the dynamics of selected iterative schemes with uniparametric polynomial weight function are investigated using M\"obius conjugacy map applied to the form ( (z-A) (z-B) ) ᵐ. The complex dynamics on the Riemann sphere by analyzing the parameter spaces associated with the free critical points are studied and the numerical experiments are carried out.
Young Hee Geum (Tue,) studied this question.