Particle swarm optimization method for solving quadratic eigenvalues
Huang Jing-pin, Dunqian Cao · 2010 3rd International Conference on Biomedical Engineering and Informatics · 2010
In this paper, we investigate the relation between eigenvalues of quadratic characteristic matrix and its companion matrix, and some bounds for the quadratic eigenvalues are firstly obtained. Secondly, we transforms quadratic eigenvalue problem (QEP) into an optimization problem, and figure out its eigenvalues was adopted based on a unified particle swarm optimization (UPSO) with dynamic updating. Numerical examples indicated UPSO method has a faster convergence rate, strong adaptability, higher accuracy and so on, which is a better algorithm for solving QEP.