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math.DS2022
Symmetry and dynamics of Chebyshev's method
Tarakanta Nayak, Soumen Pal
The set of all holomorphic Euclidean isometries preserving the Julia set of a rational map is denoted by . It is shown in this article that if a root-finding method sat…
math.DS2022
The Julia sets of Chebyshev's method with small degrees
Tarakanta Nayak, Soumen Pal
Given a polynomial , the degree of its Chebyshev's method is determined. If is cubic then the degree of is found to be or and we investigate the dynami…