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math.OC2020★ 1 cited
The degree of the central curve in semidefinite, linear, and quadratic programming
Serkan Hoşten, Isabelle Shankar, Angélica Torres
The Zariski closure of the central path which interior point algorithms track in convex optimization problems such as linear, quadratic, and semidefinite programs is an algebraic c…
math.AG2020
Symmetry Adapted Gram Spectrahedra
Alexander Heaton, Serkan Hoşten, Isabelle Shankar
This paper explores the geometric structure of the spectrahedral cone, called the symmetry adapted PSD cone, and the symmetry adapted Gram spectrahedron of a symmetric polynomial.…