A new hybrid iteration method for solving algebraic equations

A new hybrid iteration method (the hybrid's name was used by Luo [Xing-Guo Luo, Applied Mathematics and Computation 171 (2) (2005) 1171-11831) has been proposed for solving a non linear algebraic equation fix) = 0, by using Taylor's theorem. In this paper, we proposed a new hybrid iteration method and we show by one equation that this new hybrid iteration method is more quickly convergent than Newton's method and hence than hybrid iteration method. (c) 2007 Elsevier Inc. All rights reserved.