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

EasyChair Preprint no. 141

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 has 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.

Keyphrases: Efficiency index, Eighth-order methods, Newton's method, nonlinear equation, Optimal methods

@Booklet{EasyChair:141,
  author = {Dejan Cebic and Marija Paunovic and Nebojsa Ralevic},
  title = {A Variant of  Sharma-Arora's Optimal Eighth-Order Family of Methods for Finding A Simple Root of Nonlinear Equation},
  howpublished = {EasyChair Preprint no. 141},
  doi = {10.29007/26k4},
  year = {EasyChair, 2018}}