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Fixed Point Iteration in Python (Python recipe) by Captain DeadBones
ActiveState Code (http://code.activestate.com/recipes/578418/)

The code utilizes fixed point iteration to solve equations in python. This code was wrriten for How to solve equations using python.

Python, 22 lines
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import math
import sys 

def g(x):
	return math.pow(1-x,1/3.0)
	
def fpi(x, k):
	for i in range(k):
		print i, x, g(x)
		x = g(x)
	print 'The root is: ',
	return x

def main(argv):
	if (len(sys.argv) != 3):
		sys.exit('Usage: fixed_point.py <x> <k>')
	
	print 'The root is:',
	print fpi(float(sys.argv[1]),int(sys.argv[2]))

if __name__ == "__main__":
	main(sys.argv[1:])
Tags: fixed_point, mathematics, python