Abstract: Premature convergence is the fatal shortcoming of the traditional evolution strategy.Based on the analysis of premature convergence，a novel bi-group evolution strategy algorithm is proposed.In the new algorithm，evolution of the two groups is parallel performed with different mutation operator respectively.Using the new algorithm to find all roots of complex functional equation，this algorithm has much character such as the solution is in high accuracy，strong adaptability and so on.At last from the examples the authors can know that the novel algorithm is better than the old method such as iterative method，down mountain and so on.The object is to propose a new algorithm for solving complex functional equation.This algorithm has very important application in the computation of science and engineering.

摘要： 分析了导致进化策略早熟收敛的原因，提出了一种新的双种群进化策略算法，进化分别在两个不同的种群间并行进行，两个种群采用不同的变异算子。将该算法用于求复函数方程的解，该方法具有计算精度高、自适应性强等特点，最后的实例表明该算法优于传统的迭代法、下山法等方法。其目的为求复函数方程的根给出一新算法，该算法在科学与工程计算中有着重要地应用。