A Note on the Convex Hull of Finitely Many Projections of Spectrahedra

Details A Note on the Convex Hull of Finitely Many Projections of Spectrahedra A Note on the Convex Hull of Finitely Many Projections of Spectrahedra

2009-08-24

arxiv.org/abs/0908.3386v1

Mathematics

Optimization and Control

2 pages

Scientific paper

A spectrahedron is a set defined by a linear matrix inequality. A projection
of a spectrahedron is often called a semidefinitely representable set. We show
that the convex hull of a finite union of such projections is again a
projection of a spectrahedron. This improves upon the result of Helton and Nie,
who prove the same result in the case of bounded sets.

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