Fixed Point Iteration

x = starting with x0 =
Your browser does not support the HTML5 canvas tag.


Summary:
xn+1 = g(xn).
The iteration converges if | g'(a) | < 1, and diverges if | g'(a) | > 1, where a is a root of x = g(x).
The iteration spirals towards the root if -1 < g'(a) < 0, and zigzags towards the root if 0 < g'(a) < 1.
The iteration spirals away from the root if g'(a) < -1, and zigzags away from the root if g'(a) > 1.

You can define functions using these operators:
+-*/^
abs( )sqrt( )ln( )exp( )pi
sin( )cos( )tan( )
asin( )acos( )atan( )