International Journal of Computational and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 2

A new variant of Newton's methods with fourthorder convergence

  • Author:
  • Keyvan Amini
  • Total Page Count: 7
  • Page Number: 173 to 179

Department of Sciences, Razi University, Kermanshah, Iran. Email: Kamini@razi.ac.ir or Keyvanamini1353@yahoo.com

Abstract

In this paper, we present a new modification of Newton's method for solving non-linear equation f(x)= 0. Analysis of convergence shows that the new method has fourth-order convergence. Numerical examples show that the new method can compete with the classical Newton's method.

Keywords

Non-linear equations, Newton's method, Iterative method, Fourth-order convergence