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Fractal Dimension of the Universal Julia Sets for the Chebyshev-Halley Family of Methods

Fractal Dimension of the Universal Julia Sets for the Chebyshev-Halley Family of Methods

The concept of universal Julia set introduced in [5] allows us to conclude that the dynamics of a root‐finding algorithm applied to any quadratic polynomial can be understood through the analysis of a particular rational map. In this study we go a step beyond in this direction. In particular, we …