An efficient iterative scheme for computing multiple roots of nonlinear equations

Abstract

One of the most challenging tasks in real life is to find the multiple zeros of nonlinear equations. It is also known that the iterative methods are highly sensitive towards initial guesses. So, the choice of initial guess is also a difficult task with iterative methods. Various researchers have established the generalized form of iterative methods for finding the multiple roots. The prime focus of this study is to extend existing fourth order method from simple roots to multiple roots because some of the available methods for findings multiple root are fails or do not perform well for some nonlinear functions.