102 citations · 200 across the 13 of their papers we have counts for
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math.OC2005
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…
math.AC2005★ 2 cited
Combinatorial secant varieties
Bernd Sturmfels, Seth Sullivant
The construction of joins and secant varieties is studied in the combinatorial context of monomial ideals. For ideals generated by quadratic monomials, the generators of the secant…