Question

Apply fixed point in following fanction and calculate answer in 3 steps of the iterative method.
f ( x) = x²- 2 x - 1
b) Find the error of each calculation.

Answer 1

• Order of Fixed Point Iteration method : Since the convergence of this scheme depends on the choice of g(x) and the only information available about g'(x) is |g'(x)| must be lessthan 1 in some interval which brackets the root. Hence g'(x) at x = s may or may not be zero.