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A quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions.

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Minimizing quadratic objective under orthogonality constraints

This is a special case of the little Grothendieck problem. Afonso Bandeira, Christopher Kennedy, Amit Singer, Approximating the little Grothendieck problem over the orthogonal and unitary groups [PDF …
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