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- W4310207247 abstract "In this work we present some exactness conditions for the Shor relaxation of diagonal (or, more generally, diagonalizable) QCQPs, which extend the conditions introduced in different recent papers about the same topic. It is shown that the Shor relaxation is equivalent to two convex quadratic relaxations. Then, sufficient conditions for the exactness of the relaxations are derived from their KKT systems. It will be shown that, in some cases, by this derivation previous conditions in the literature, which can be viewed as dual conditions, since they only involve the Lagrange multipliers appearing in the KKT systems, can be extended to primal-dual conditions, which also involve the primal variables appearing in the KKT systems." @default.
- W4310207247 created "2022-11-30" @default.
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- W4310207247 date "2022-11-29" @default.
- W4310207247 modified "2023-09-27" @default.
- W4310207247 title "KKT-based primal-dual exactness conditions for the Shor relaxation" @default.
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- W4310207247 doi "https://doi.org/10.1007/s10898-022-01258-5" @default.
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