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)=x4-2*x2-1/2 using Newton Method
