114 citations · 251 across the 17 of their papers we have counts for
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Deciding polyhedrality of spectrahedra
Avinash Bhardwaj, Philipp Rostalski, Raman Sanyal
Spectrahedra are linear sections of the cone of positive semidefinite matrices that, as convex bodies, generalize the class of polyhedra. In this paper we investigate the problem o…
Dualities in Convex Algebraic Geometry
Philipp Rostalski, Bernd Sturmfels
Convex algebraic geometry concerns the interplay between optimization theory and real algebraic geometry. Its objects of study include convex semialgebraic sets that arise in semid…
An algebraic geometry approach to nonlinear parametric optimization in control
Ioannis A. Fotiou, Philipp Rostalski, Bernd Sturmfels +1
We present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial funct…