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Methods for solving nonlinear equations and the recent popular classical algorithm genetic algorithm. Newton s method and its improved form, but such convergence of the algorithm is largely dependent on the choice of the initial point, for some nonlinear equations solved easily lead to failure In order to overcome the shortcomings of classical algorithms designed for solving nonlinear Equations hybrid genetic algorithm, but still on the equations and the encoding method has high requirements. PSO is social behavior by birds or fish inspired the formation of a population-based stochastic optimization techniques. It is a class of stochastic global optimization technique, through complex interaction between particles found in the search space optimum area. The algorithm is a novel based on swarm intelligence evolutionary computation techniques, with a simple and easy to achieve, set few parameters, global optimization ability, etc.. Particle swarm optimization in function optimizatio