simple itration

from math import fabs, pow

e = 10e-3

def function(x):
    return x ** 3 + x ** 2 - x - 0.5


def simple_interation(x0, lamb):
    iter = 1
    x1 = x0 - lamb * function(x0)
    print(x1)
    while fabs(x1 - x0) > e:
        iter += 1
        x0 = x1
        x1 = x0 - lamb * function(x0)
        print(x1)
    return x1


def main():
    dots = [-2, -0.5, 0,5]
    lamb = [1/7, 0.01, 0.25]
    root = simple_interation(dots[0], lamb[0])
    print(root)
    print()
    root = simple_interation(dots[1], lamb[1])
    print(root)
    print()
    root = simple_interation(dots[2], lamb[2])
    print(root)

if __name__ == '__main__':
    main()