He, Dengxu; Li, Yanfang; Liu, Xianghu Using improved genetic algorithm to solve real eigenvalue of matrix. (Chinese. English summary) Zbl 1164.65365 Math. Pract. Theory 37, No. 15, 149-154 (2007). Summary: Based on the distribution of the eigenvalues of a matrix, this paper firstly determines the approximately distributed region of real matrix eigenvalues, then by using a genetic algorithm, with real value encoding, adaptive crossover and mutation probabilities, computes approximately the real eigenvalues of a matrix. Simulation results show that this algorithm can reach a certain precision, has a certain versatility, and gives a rapid method to compute the eigenvalues of a matrix. MSC: 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 90C15 Stochastic programming Keywords:real eigenvalue; self-adaptive genetic algorithm; circular disc theorem PDFBibTeX XMLCite \textit{D. He} et al., Math. Pract. Theory 37, No. 15, 149--154 (2007; Zbl 1164.65365)