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

Volume

7

fYear

2010

fDate

16-18 Oct. 2010

Firstpage

2932

Lastpage

2935

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on

Conference_Location

Yantai

Print_ISBN

978-1-4244-6495-1

Type

conf

DOI

10.1109/BMEI.2010.5640554

Filename

5640554