Super Linear Iterated Method for Solving Non-Linear Equations

Abstract

In this paper a super linear iterated method has been suggested for solving non-linear equations. The proposed super linear method is very much effective and convenient for solving non-linear equations, and it is a derivative free two-point method. The proposed iterated method is derived from Newton Raphson Method and Taylor Series. We have observed in numerical outcome is that the super line a rmethod is rapidly converge with the assessment of Bisection Method, Regula-Falsi Method and Secant Method. Its hypothetical out comes and efficacy is inveterate by Numerical problems. Throughout the study, it has been perceived that the developed super linear algorithm is a decent attainment for estimating a single root of nonlinear equations.