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).
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Phuong, N.T.H., Tuy, H. & Al-Khayyal, F. Optimization of a Quadratic Function with a Circulant Matrix. Comput Optim Applic 35, 135–159 (2006). https://doi.org/10.1007/s10589-006-6448-y