S. Pal

activity

20172022

collaborators

Showing 2022Show all

2 papers · 1 filter

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 $R$ is denoted by $Σ R$ . It is shown in this article that if a root-finding method $F$ sat…

math.DS2022

The Julia sets of Chebyshev's method with small degrees

Tarakanta Nayak, Soumen Pal

Given a polynomial $p$ , the degree of its Chebyshev's method $C_{p}$ is determined. If $p$ is cubic then the degree of $C_{p}$ is found to be $4, 6$ or $7$ and we investigate the dynami…