PSO Algorithm for Solving Matrix Eigenvalues and Eigenvectors

A method based on Particle Swarm Optimization(PSO) algorithm is presented, which transfers the equations into a non-constraint optimization problem. The PSO algorithm is used to solve matrix eigenvalues and eigenvectors. Simulation experimental results show the accuracy and the convergence speed of this method is higher, which can converge in about ten generations. It can obtain any matrix eigenvalues and eigenvectors.