On modified Newton methods for solving a non linear algebraic equations

摘要

In this paper, we present a new modified Newton method for solving a non linear algebraic equation by using the well-known Nedzhibov’s method [D.K.R. Babajee, M.Z. Dauhoo, An analysis of the properties of the variants of Newton’s method with third order convergence, Applied Mathematics and Computation 183 (1) (2006), 659–684].We proposed a new iteration method and we show by one equation that this new iteration method is more quickly convergence than Newton’s method.