The paper presents a hybrid algorithm for solving nonlinear system of equations through combining Artificial Bee Colony algorithm and Particle Swarm Optimization algorithm together. Numerical computations show that the hybrid algorithm has feasibility and validity in solving nonlinear system of equations.

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Pointing at that Artificial Bee Colony Algorithm (ABC) has the defect of slow search speed and low precision, the article proposed an Improved Artificial Bee Colony Algorithm with Two-Eagle Strategy (ETABC) through using a kind of optimization method-Eagle Strategy, and proved the convergence of ETABC. The simulation results show that ETABC is more effective in solving optimization problems.

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