Skip to content

Instantly share code, notes, and snippets.

@aksiksi
Created April 12, 2012 12:31
Show Gist options
  • Star 1 You must be signed in to star a gist
  • Fork 1 You must be signed in to fork a gist
  • Save aksiksi/2366925 to your computer and use it in GitHub Desktop.
Save aksiksi/2366925 to your computer and use it in GitHub Desktop.
Newton's Method in Python
# Finds a root of a number using Newton's method. Outputs the first 5 approximations.
def newton(n, x):
x1 = x - (x*x-n)/(2*x*x)
return x1
root = float(raw_input("Enter a number to approximate the square root of: "))
approx = float(raw_input("Enter approximation for root: "))
print ''
for a in range(1, 6):
approx = newton(root, approx)
print "Approximation #{0}: {1:.7f}".format(a, newton(root, approx))
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment