关键词: 非线性方程组, 进化计算, 多目标优化, 最优解

Abstract: How to effectively solve complex nonlinear system of equations is a novel research problem in evolution field. Nonlinear system of equations is transformed into a multi-objective optimization problem and a new multi-objective optimization evolutionary algorithm is proposed. In order to enhance the search ability of the proposed algorithm and avoid the algorithm falls into the local optimum, the self-adaptive evolution operator and the uniform crossover operator are used. The computer simulations demonstrate the effectiveness of the proposed algorithm to solve nonlinear system of equations.

Key words: nonlinear system of equations, evolutionary computation, multi-objective optimization, optimal solutions