Estimating eigenvalue of matrix with particle swarm optimization algorithm

Based on the Gerschgorin disk theorem and the property of eigenvalue of matrix,the problems of solving eigenvalue are translated into the optimization problem.With particle swarm optimization algorithm and binary search,all eigenvalues of real(complex) matrix are accurately estimated.Compared to the result of the eigenvalues calculated by QR algorithm-based function in Matlab Soft-ware,the absolute errors are less than 10-7.At the same time,the minimum eigenvalue separation estimation problem is solved.