Using hybrid social emotional optimization algorithm with Metropolis rule to solve nonlinear equations

Social emotional optimization algorithm (SEOA) is a novel swarm intelligent population-based optimization algorithm by simulating the human social behaviors. How- ever, as a stochastic optimization algorithm, it is easily trapped into local optima. In this paper, we propose a new hybrid algorithm combining with Metropolis rule to enhance the escaping capability from local optima. Further- more, the nonlinear equation solving problems are used to test, and compared with the standard version. Simulation results show it is effective.