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一类最优三阶多根解算器及其动力学

IF 1 Q1 MATHEMATICS
European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4529
Hwajoon Kim, A. Rathie, Y. Geum
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引用次数: 1

摘要

提出了三阶迭代族的复动力学分析方法，通过M“{o}bius应用于二次多项式$（z-a）（z-B）$的共轭映射。使用Mathematica可以通过各种稳定性曲面和参数空间清楚地可视化所产生的动力学。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics
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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来源期刊
European Journal of Pure and Applied Mathematics
European Journal of Pure and Applied Mathematics MATHEMATICS-
CiteScore
1.30
自引率
28.60%
发文量
156
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