关键词: 非线性方程组, 竞选优化算法, 函数优化, 几何约束求解

Abstract: Aimed at the widespread practical significance of solving nonlinear equations in engineering，classic numerical methods are highly sensitive to the initial guess，but it is difficult to find a suitable good initial guess in practical operation，the problem of solving sophisticated nonlinear equation group is transformed to the problem of function optimization，and then，election-survey optimization algorithm is introduced to achieve the optimal result for the problem.Meanwhile the composition of the functions is of little concern，and the algorithm is convenient to solve geometric constraint problems.Numerical simulation experiments of standard nonlinear test equation groups and solving of geometric constraint problems show that election-survey optimization algorithm has higher convergence speed and more precise solution，and it is a feasible and effective approach in solving systems of nonlinear equations problems.

Key words: nonlinear equation group, election-survey optimization algorithm, function optimization, geometric constraint solving