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On properties of projection operators associated with convex sets Bui, Minh


The aim of this research work is twofold. On the one hand, under mild assumptions, we give an explicit formula for projection operator associated with the intersection of a cone and a ball/sphere; nevertheless, this formula plays a role in determining copositivity of matrices. On the other hand, we provide a complete answer to the question “When is the sum of projectors a projector?,” which allows us to fill a gap in the current literature.

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