4 papers
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…
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…
Quadratic and cubic Newton maps of rational functions
Tarakanta Nayak, Soumen Pal
The dynamics of all quadratic Newton maps of rational functions are completely described. The Julia set of such a map is found to be either a Jordan curve or totally disconnected.…
First-principles study of LiNbxM1-x O3, M= V, W, Ta, Mo for holographic memory applications
S. Mondal, K. Choudhary, S. Pal +3
For holographic memory applications, the photorefraction of well-known ferroelectric such as lithium niobate doped with different transition metals is very important. First princip…