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On "two important theorems" in canonical duality theory

Published 15 Aug 2018 in math.OC | (1808.05074v1)

Abstract: In this short note we show, providing counterexamples, that the "two important theorems" in the paper [Y, Yuan, Global optimization solutions to a class of non-convex quadratic minimization problems with quadratic constraints, in Canonical Duality Theory, D.Y. Gao et al.\ (eds), (AMMA, volume 37), Springer, 2017] are false.

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