Optimization of a Quadratic Function with a Circulant Matrix
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A problem arising in the control of flutter in compression systems via mistuning is formulated as maximizing a quadratic function with a circulant matrix over a set of vectors whose every component can take one of three values (the three level problem) or one of two values (the two level problem).
KeywordsMistuning problem quadratic optimization circulant matrix
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- 2.P.J. Davis, Circulant Matrices, Wiley & Sons 1979.Google Scholar
- 3.C.A. Floudas, Deterministic global optimization: Theory, methods and applications, Kluwer 2000.Google Scholar
- 6.B. Shapiro, “Passive control of flutter and forced response in bladed disks via mistuning,” Ph. D. Dissertation, California Institute of Technology, Pasadena, CA, 1999.Google Scholar
- 7.H. D. Sherali and W. P. Adams, A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems, Kluwer 1999.Google Scholar
- 8.H. Tuy, in Convex Analysis and Global Optimization, Kluwer, 1998.Google Scholar
- 10.H. Tuy, M. Minoux and N.T. Hoai-Phuong, “Discrete monotonic optimization with application to a discrete location problem,” to appear in SIAM Journal on Optimization, 2006.Google Scholar
- 11.Fuzhen Zhang, Matrix Theory, Springer, 1999.Google Scholar