The Rayleigh–Ritz method, refinement and Arnoldi process for periodic matrix pairs

Author:

Chu Eric King-Wah,Fan Hung-Yuan,Jia Zhongxiao,Li Tiexiang,Lin Wen-Wei

Funder

National Basic Research Program of China

National Science Foundation of China

National Centre of Theoretical Sciences

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. A. Bojanczyk, G.H. Golub, P. Van Dooren, The periodic Schur decomposition, algorithms and applications, in: Proceedings of the SPIE Conference, San Diego, vol. 1770, 1992, pp. 31–42.

2. Numerical solution of the discrete-time periodic Riccati equation;Hench;IEEE Trans. Automat. Control,1994

3. W.-W. Lin, P. Van Dooren, Q.-F. Xu, Periodic invariant subspaces in control, in: Workshop on Periodic Systems and Control, Como, Italy, 2001, pp. 21–25.

4. Perturbation analysis for the eigenproblem of periodic matrix pairs;Lin;Linear Algebra Appl.,2001

5. Perturbation of eigenvalues for periodic matrix pairs via the Bauer–Fike theorems;Chu;Linear Algebra Appl.,2004

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