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• W2952656642 abstract "This paper studies the hierarchy of local minimums of a polynomial in the space. For this purpose, we first compute H-minimums, for which the first and second order optimality conditions are satisfied. To compute each H-minimum, we construct a sequence of semidefinite relaxations, based on optimality conditions. We prove that each constructed sequence has finite convergence, under some generic conditions. A procedure for computing all local minimums is given. When there are equality constraints, we have similar results for computing the hierarchy of critical values and the hierarchy of local minimums. Several extensions are discussed." @default.
• W2952656642 created "2019-06-27" @default.
• W2952656642 creator A5018024598 @default.
• W2952656642 date "2013-11-17" @default.
• W2952656642 modified "2023-10-06" @default.
• W2952656642 title "The Hierarchy of Local Minimums in Polynomial Optimization" @default.
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• W2952656642 doi "https://doi.org/10.48550/arxiv.1311.4228" @default.
• W2952656642 hasPublicationYear "2013" @default.
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