Question

The rate of convergence of the secant method and newton raphson method is

Answer 1

Convergence of secant method: Definition: Say, where is the root of , , are the errors at n and (n+1) iterations and are the approximations of at , (n+1) iterations. If where is a constant, then the rate of convergence of the method by which is generated is p. Say and i.e the error in the n iteration in estimating .