Pattern Search Firefly Algorithm for Solving Systems of Nonlinear Equations

It is very important problem to solve systems of nonlinear equations in scientific research and engineering computation. Most traditional algorithms have the shortcomings such as high sensitivity to initial guess of the solution and poor convergence. In this paper, we present a method to solve nonlinear equation systems by using the Firefly Algorithm. It is very effective to improve computation precision that Firefly Algorithm integrates with pattern search strategy. We select several nonlinear equation systems which are solved with Pattern Search Firefly Algorithm, while compared with other intelligence optimization algorithms such as Particle Swarm Optimization, Genetic Algorithm, etc. Numerical results show that Pattern Search Firefly Algorithm has availability, global convergence reliability, and high computation precision, especially has advantages in solving higher dimension systems of nonlinear equations.