The complexity of computing KKT solutions of quadratic programs

It is well known that solving a (non-convex) quadratic program is NP-hard. We show that the problem remains hard even if we are only looking for a Karush-Kuhn-Tucker (KKT) point, instead of a global optimum. Namely, we prove that computing a KKT point of a quadratic polynomial over the domain [0, 1]...

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Bibliographic Details
Main Authors: Fearnley, J, Goldberg, PW, Hollender, A, Savani, R
Format: Conference item
Language:English
Published: Association for Computing Machinery 2024