Abstract
In this work we provide a rigorous study of quadratically constrained quadratic optimization problems using the method suggested by the canonical duality theory (CDT). Then we compare our results with those obtained using CDT. We also point out unnecessarily strong assumptions (e.g. Ruan and Gao, in: Gao, Latorre, Ruan (eds) Canonical duality theory. Advances in mechanics and mathematics. Springer, Cham, vol 37, pp 315–338, 2017), non-standard definitions (e.g. Ruan and Gao, in: Gao, Latorre, Ruan (eds) Canonical duality theory. Advances in mechanics and mathematics. Springer, Cham, vol 37, pp 187–201, 2017), unclear statements (e.g. Gao and Ruan in J Glob Optim 47:463–484, 2010), false results (e.g. Gao et al. in J Glob Optim 45:473–497, 2009; Gao and Ruan 2010).
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