Basins of attraction generated by simple zeroes of nonlinear equations

Good morning everyone, I return to one of my favorite works, build basins of attraction generated by simple zeroes of nonlinear equations using an algorithm developed by me in Matlab in conjunction with a numerical method in our case Newton's Method.

Two nonlinear functions were selected

• F (x) = x ^ 5-101i
• F (x) = x ^ 4-2 * x ^ 2-1 / 2

The main idea is to use Newton's method to find the simple zeros of the above functions, and whenever given a starting point if the method converges it is painted a color and if it converges it is painted black

The main idea is to use Newton's method to find the simple zeros of the above functions, and whenever given a starting point if the method converges it is painted a color and if it converges it is painted black

Basin of atraction of f(x)=x^5-101i using Newton Method

Basin of atraction of f(x)=x^4-2*x^2-1/2 using Newton Method

Enjoy, Resteem and follow me @falcao12