Dynamical Analysis on a Family of Sixth-order Multiple-zero Solver with Polynomial and Rational Weight Functions
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i1.7369Keywords:
conjugacy map, multiple root, nonlinear equation, parameter spaceAbstract
A sixth-order family of three-point multiple root solvers with polynomial and rational weight functions are investigated by means of M\"{o}bius conjugacy map applied to a prototype polynomial of the form $ (z-p)^m (z-q)^m $ with the related parameter spaces and dynamical planes. The interesting dynamics is shown through various stability surfaces and parameter spaces including dynamical planes.
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