Proves finite convergence of the matrix Moment-SOS hierarchy under nondegeneracy, strict complementarity, and second-order sufficient conditions at minimizers, plus flat truncation detection, assuming the Archimedean property.
Indiana Univ
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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.
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Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization
Proves finite convergence of the matrix Moment-SOS hierarchy under nondegeneracy, strict complementarity, and second-order sufficient conditions at minimizers, plus flat truncation detection, assuming the Archimedean property.
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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.