Problem 3 Consider the following 6 methods to calculate 2. Identify those that converge and rank them according to their
Posted: Thu May 12, 2022 11:02 am
Problem 3 Consider the following 6 methods to
calculate 2. Identify those that converge and rank them according to their speed of convergence from fastest to slowest.
Justify your answer.
1- Bisection method with f(x) = x - 2
2 - Secant method with f(x) = x - 2
3 - Fixed point method with g(x) = x/2 + 1/x
4 - Fixed point method with g(x) = (x + 2)/(x + 1)
5 - Fixed point method with g(x) = 2/x
6 - Newton's method with f(x) = x - 2
calculate 2. Identify those that converge and rank them according to their speed of convergence from fastest to slowest.
Justify your answer.
1- Bisection method with f(x) = x - 2
2 - Secant method with f(x) = x - 2
3 - Fixed point method with g(x) = x/2 + 1/x
4 - Fixed point method with g(x) = (x + 2)/(x + 1)
5 - Fixed point method with g(x) = 2/x
6 - Newton's method with f(x) = x - 2