A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics

We investigate the complex dynamics of a triparametric family of optimal fourth-order multiple-root solvers by analyzing their basins of attraction along with extensive study of Möbius conjugacy maps and extraneous fixed points applied to a prototype quadratic polynomial raised to the power of the k...

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Bibliographic Details
Main Authors: Young Ik Kim, Young Hee Geum
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/8436759