OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 1 2 2011 03 21 THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY 109 115 EN M. A. Fariborzi Araghi Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics B. Yousefi Islamic Azad University, Kermanshah Branch, Iran Iran, Islamic Republic of Department of Mathematics Journal Article 2011 03 21 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.