# Another Chaotic search

Newton’s method is a more simple way of finding a root.   The formula is

$x_{n+1}=x_n - \frac{f^{'}(x)}{f(x)}$

However, the behavior of the algorithm in finding roots is anything but simple.  Above, I display the behavior of this algorithm on the complex interval where the real part of and the imaginary part of each complex number if between -1 and 1.  The coloring scheme is identical to the previous post.