Solve this equation with fixed point iteration

Question

How can I solve this equation

x³ + x - 1 = 0

using fixed point iteration?

Is there any fixed-point iteration

Answer 1

Try the SymPy library. Here's a relevant example:

>>> solve(x**3 + 2*x**2 + 4*x + 8, x)
[-2*I, 2*I, -2]

I'm not sure which algorithm SymPy uses to solve the equation, though.