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math.OC2023
Finite convergence of Moment-SOS relaxations with non-real radical ideals
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
We consider the linear conic optimization problem with the cone of nonnegative polynomials. Its dual optimization problem is the generalized moment problem. Moment-SOS relaxations…
math.OC2023
Solving polynomial variational inequality problems via Lagrange multiplier expressions and Moment-SOS relaxations
Jiawang Nie, Defeng Sun, Xindong Tang +1
In this paper, we study variational inequality problems (VIPs) with involved mappings and feasible sets characterized by polynomial functions (namely, polynomial VIPs). We propose…