Particle swarm optimization method for solving quadratic eigenvalues

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...

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Bibliographic Details
Main Authors: Jing-pin Huang, Dun-qian Cao
Format: Conference Proceeding
Language:English
Subjects:
Accuracy
distribution
Eigenvalues and eigenfunctions
Optimization
Particle swarm optimization
Polynomials
quadratic eigenvalue
Simulation
Symmetric matrices
UPSO method
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Summary: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.
ISSN:1948-2914
1948-2922
DOI:10.1109/BMEI.2010.5640554