the Halley method and nonlinear equation

hi, everyone, I am a mathematician and university professor with masters in applied mathematics, I do research in the area of statistics, probability, Bayesian statistics, stochastic processes, stochastic differential equations also work in nonlinear equations, the basin of attraction, space of parameter.

I want to share with you something about my work, I was studying tonight the Halley method, it is a wonderful method of third order to solve zeros of a nonlinear equation, this kind of methods needs an initial point to begin and they are very sensibility with this points. that is the reason because the study of basin of attraction is necessary to ensure the good behavior of methods with respect to the initial points.

Then I am going to show the behavior of this method using the basis of attraction, note that the method presents a good behavior since we can see bases of attractions little chaotic (there are no black areas that indicate non-convergence)

follow me @falcao12