International Journal of Engineering and Manufacturing(IJEM)
ISSN: 2305-3631 (Print), ISSN: 2306-5982 (Online)
Published By: MECS Press
IJEM Vol.2, No.1, Feb. 2012
A Parameter Free Iterative Method for Solving Projected Generalized Lyapunov Equations
Full Text (PDF, 253KB), PP.62-70
This paper is devoted to the numerical solution of projected generalized continuous-time Lyapunov equations with low-rank right-hand sides. Such equations arise in stability analysis and control problems for descriptor systems including model reduction based on balanced truncation. A parameter free iterative method is proposed. This method is based upon a combination of an approximate power method and a generalized ADI method. Numerical experiments presented in this paper show the effectiveness of the proposed method.
Cite This Paper
Yiqin Lin,Liping Zhou,Liang Bao,"A Parameter Free Iterative Method for Solving Projected Generalized Lyapunov Equations", IJEM, vol.2, no.1, pp.62-70, 2012.
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