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- W2912496902 abstract "We study the convex hull of $SO(n)$, the set of $ntimes n$ orthogonal matrices with unit determinant, from the point of view of semidefinite programming. We show that the convex hull of $SO(n)$ is doubly spectrahedral, i.e., both it and its polar have a description as the intersection of a cone of positive semidefinite matrices with an affine subspace. Our spectrahedral representations are explicit and are of minimum size, in the sense that there are no smaller spectrahedral representations of these convex bodies." @default.
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- W2912496902 date "2015-07-01" @default.
- W2912496902 modified "2023-10-16" @default.
- W2912496902 title "Semidefinite Descriptions of the Convex Hull of Rotation Matrices" @default.
- W2912496902 hasPublicationYear "2015" @default.
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