### olving matrix eigenvalues based on combining neighborhood optimization with θ-PSO algorithm

LUO Jian, TAN Wen, LIU Chaohua, XIAO Xiaoshi, YANG Zongchang, CHEN Min

1. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China
• Online:2014-10-01 Published:2014-09-29

### 基于融合邻域寻优与θ-PSO算法的矩阵特征值求解

1. 湖南科技大学 信息与电气工程学院，湖南 湘潭 411201

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.