A Note on a Lower Bound on the Minimum Rank of a Positive Semidefinite Hankel Matrix Rank Minimization Problem
Keyword(s):
This paper investigates the problem of approximating the global minimum of a positive semidefinite Hankel matrix minimization problem with linear constraints. We provide a lower bound on the objective of minimizing the rank of the Hankel matrix in the problem based on conclusions from nonnegative polynomials, semi-infinite programming, and the dual theorem. We prove that the lower bound is almost half of the number of linear constraints of the optimization problem.
2010 ◽
Vol 224
(10)
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pp. 2109-2119
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2018 ◽
Vol 54
(6)
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pp. 2713-2723
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Keyword(s):
2008 ◽
Vol 2
(3)
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pp. 241-258
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