Homework – Week 4 The Ralph-Newton method allows fast approximations to the solutions of algebraic equations

Homework – Week 4
The Ralph-Newton method allows fast approximations to the solutions of
algebraic equations. For the calculation of the cubed root of , it starts out
with a guess and then improves it by
Implement the Ralph-Newton method. You need to develop your own criteria for
when your solution is good enough.
a
x0 > 0
xn = (2 × xn−1 + a /x2
n−1)/3