Homogenization yields a Moment-SOS hierarchy with finite convergence for polynomial optimization on unbounded sets when the set is closed at infinity, the homogenized ideal is real radical, and standard optimality conditions hold at all minimizers including at infinity.
In: Emerging applications of algebraic geometry of IMA Volumes in Mathem atics and its Applications , 149, pp
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Homogenization for polynomial optimization with unbounded sets
Homogenization yields a Moment-SOS hierarchy with finite convergence for polynomial optimization on unbounded sets when the set is closed at infinity, the homogenized ideal is real radical, and standard optimality conditions hold at all minimizers including at infinity.