A Study of Modified Newton-Raphson Method

Abstract

A basic alteration of the standard Newton technique is investigated and described for the approximation of the roots of a univariate function. For a similar number of functions and evaluation of the derivative, an altered strategy combines quicker, with the convergence of the modified NR’s method being 2.4 as compared with the regular NR method which is 2. Some of the example shows the faster convergence accomplished with the modified NR method. This modification of Newton’s technique is generally basic and strong. It is bound to converge to the solution rather than the higher order or Newton-Raphson method itself. In this paper, the modification of NR strategy introduced which offers expanded rate of convergence over NR standard method.