On a Sixth-order Solver for Multiple Roots of Nonlinear Equations

Authors

  • Young Hee Geum Dankook University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5029

Keywords:

conjugacy map, multiple root, nonlinear equation, parameter space

Abstract

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\"{o}bius conjugacy map applied to the form ((zA)(zB))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.

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Published

2024-04-30

Issue

Section

Nonlinear Analysis

How to Cite

On a Sixth-order Solver for Multiple Roots of Nonlinear Equations. (2024). European Journal of Pure and Applied Mathematics, 17(2), 710-720. https://doi.org/10.29020/nybg.ejpam.v17i2.5029