A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics

Authors

  • Hwajoon Kim
  • Arjun Kumar Rathie
  • Young Hee Geum Dankook University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4529

Keywords:

multiple-root solver, cubic-order, conjugacy, parameter space

Abstract

The complex dynamical analysis of the cubic-order iterative family is proposed to draw the fractal images via M\"{o}bius conjugacy map applied to a quadratic polynomial $(z-A) (z-B)$. The resulting dynamics is clearly visualized through various stability surfaces and parameter spaces using Mathematica.

Downloads

Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1902-1912. https://doi.org/10.29020/nybg.ejpam.v16i3.4529