If possible, I would like to know if there is an easy and intuitive definition of the "rate of attraction" of a fixed point. I am especially interested in the difference between super-attractive and simple-attractive fixed point (e.g.: $x = \sqrt{\alpha}$ is a super-attractive fixed point of $f(x) = \frac{1}{2}(x+\frac{\alpha}{x})$, whereas it is a simple-attractive fixed point of $g(x) = \frac{x + \alpha}{x + 1}$).
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Matteo Menghini
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1https://en.wikipedia.org/wiki/Rate_of_convergence seems pretty intuitive to me... – kimchi lover Mar 21 '22 at 12:29
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1https://math.stackexchange.com/questions/388219/strength-of-attraction-of-fixed-points – Chris Sanders Mar 21 '22 at 15:22