A Variant of Sharma-Arora's Optimal Eighth-Order Family of Methods for Finding A Simple Root of Nonlinear Equation

Abstract

In this paper a new variant of Sharma-Arora's family of optimal eighth-order iterative methods for finding simple root of nonlinear equation is considered. The several members of the new modified family are numerically compared with other relevant three-step methods. The numerical performances based on the test examples agree with the theoretical analysis of the presented family.