Dynamical Analysis on a Family of Sixth-order Multiple-zero Solver with Polynomial and Rational Weight Functions
Abstract
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.
Fields of Study & Subjects
Iterative Methods for Nonlinear Equations
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- European Journal of Pure and Applied Mathematics
- Volume
- 19
- Issue
- 1
- Pages
- 7369–7369
- Publication date
- 16 February 2026
- Language
- EN