Graphic and numerical comparison between iterative methods

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On a numerical technique for finding multiple zeros and its dynamic (2013, methodology): “In this way, the Newton fractal is similar to the Mandelbrot set, and like other fractals, it exhibits an intricate appearance arising from a simple description [21–23].”
A new tool to study real dynamics: The convergence plane (2013, unknown): “In this case, we use the program Mathematica 5.0 (the code appears in Section 2.1) as in [10,16], with tolerance ε = 10 − 6 , a maximum of 4000 iterations and the following palette of colors: • Cian, if the iterations converge to root r 1 , magenta, if the iterations converge to root r 2 and…”