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Hidden Convexity of the Joint Range of Three Quadratic Forms and Applications

Hoang, Tuan Ngoc et al.
arXiv (All) · Papers
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90c26optimization-and-control
We investigate a hidden convexity phenomenon for triples of homogeneous quadratic forms. We give a complete characterization of the convexity of the upper image obtained by adding the nonnegative orthant to their joint range. More precisely, the upper image is convex if and only if either a
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