Question

Newton's method has the advantage of having a faster quadratic convergence rate over the other methods such as Secant and bisection methods.
a. True
b. False

Answer 1

Answer:

a. True

Explanation:

The Newton's method (Newton-Raphson method) used in advanced statistical computing can be used for a continuous and differentiable function that can be approximated by a straight line tangent to it. It requires the derivative of the function to be known, Newton's method converges faster that is whenever it converges. Newton Raphson Method has quadratic convergence which is faster, and the quadratic convergence makes the error in the next iteration increase by the square of the value of the previous iteration.