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.

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Published

2023-07-30

How to Cite

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

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

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

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