THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY

Subject Areas : International Journal of Mathematical Modelling & Computations

M. A. Fariborzi Araghi ¹ , B. Yousefi ²

1 - Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics
2 - Islamic Azad University, Kermanshah Branch, Iran Iran, Islamic Republic of Department of Mathematics

Received: 2016-04-13 Accepted : 2016-04-13 Published : 2011-03-21

Keywords: Nonlinear Equations, Newton’s iteration method, He’s iteration method, Stochastic arithmetic, CESTAC method, CADNA Library,

Abstract :

In this paper, we apply the Newton’s and He’s iteration formulas in order to solve the nonlinear algebraic equations. In this case, we use the stochastic arithmetic and the CESTAC method to validate the results. We show that the He’s iteration formula is more reliable than the Newton’s iteration formula by using the CADNA library.