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Using improved genetic algorithm to solve real eigenvalue of matrix. (Chinese. English summary) Zbl 1164.65365

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
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