54 citations · 155 across the 71 of their papers we have counts for
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math.OC2012★ 3 cited
Polynomial Optimization with Real Varieties
Jiawang Nie
We consider the optimization problem of minimizing a polynomial f(x) subject to polynomial constraints h(x)=0, g(x)>=0. Lasserre's hierarchy is a sequence of sum of squares relaxat…
math.OC2012★ 3 cited
Optimality Conditions and Finite Convergence of Lasserre's Hierarchy
Jiawang Nie
Lasserre's hierarchy is a sequence of semidefinite relaxations for solving polynomial optimization problems globally. This paper studies the relationship between optimality conditi…