关键词: &theta, -PSO算法, 特征值, 邻域寻优, 矩阵

Abstract: Combined neighborhood optimization with θ-PSO algorithm, a new method of solving matrix eigenvalues is presented. The method transfers the problem of solving matrix eigenvalues into the optimization problem. Compared to the other algorithms needing to run for many times, this method can solve all the eigenvalues at one time. The simulation results illustrate the accuracy and the convergence speed of the algorithm is higher, which can converge within about ten to fifteen generations. The algorithm is implemented conveniently, at the same time, it can obtain any matrix eigenvalues. The method can satisfy the accuracy and speed demand completely suitable for application in engineering.

Key words: θ-Particle Swarm Optimization（θ-PSO） algorithm, eigenvalue, neighborhood optimization, matrix