A note on computer experiments with chaotic shattering of level sets Free

Computational and graphical results on a root‐finding method for a 7th‐deg Chebyshev polynomial in the complex plane C are presented. Level sets for sup{‖Hⁿ_ζ0‖@B:n=1,2,...} reveal a visually striking and intricate class of patterns indicating behavior ranging from stable points to chaos. ‘‘Chaotic shattering’’ of the level sets is illustrated as the relaxation coefficient increases.