Optimization of a Quadratic Function with a Circulant Matrix

Authors:
Nguyen Thi Phuong;Hoang Tuy;Faiz Al-Khayyal
Affiliations:
Institute of Mathematics, Bo Ho, Vietnam;Institute of Mathematics, Bo Ho, Vietnam;School of Industrial Systems and Engineering, Georgia Institute of Technology, Atlanta, USA 30332-0205
Venue:
Computational Optimization and Applications
Year:
2006

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Abstract

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).