Notice of Retraction Particle swarm optimization algorithm based on variable metric method and its application of non-linear equations

In this paper, particle swarm optimization algorithm based on variable metric method is proposed for the defects of elementary particle swarm optimization algorithm “premature” and the parameter setting. The algorithm uses fast local convergence characteristics of the variable metric method, so that the improved algorithm can jump out of local optimal solution effectively, and can also search the global optimal solution quickly. Simulation results show that the new algorithm improves the accuracy of the optimal solution and optimization efficiency; also demonstrate that the new algorithm has better robustness, and then the improved algorithm is successfully applied to solve the problem of nonlinear equations.