Title :
Particle swarm optimization method for solving quadratic eigenvalues
Author :
Huang, Jing-pin ; Cao, Dun-qian
Author_Institution :
Coll. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
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.
Keywords :
eigenvalues and eigenfunctions; particle swarm optimisation; quadratic programming; UPSO method; companion matrix; convergence rate; dynamic updating; optimization problem; quadratic characteristic matrix; quadratic eigenvalue problem; unified particle swarm optimization; Accuracy; Eigenvalues and eigenfunctions; Optimization; Particle swarm optimization; Polynomials; Simulation; Symmetric matrices; UPSO method; distribution; optimization; quadratic eigenvalue;
Conference_Titel :
Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4244-6495-1
DOI :
10.1109/BMEI.2010.5640554
