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• W2891782554 abstract "This paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points. It is based on solving Lasserre's hierarchy of semidefinite relaxations. Under some genericity assumptions on defining polynomials, we show that: i) if there exists a saddle point, our algorithm can get one by solving a finite number of Lasserre type semidefinite relaxations; ii) if there is no saddle point, our algorithm can detect its nonexistence." @default.
• W2891782554 created "2018-09-27" @default.
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• W2891782554 date "2018-09-04" @default.
• W2891782554 modified "2023-09-25" @default.
• W2891782554 title "The Saddle Point Problem of Polynomials" @default.
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• W2891782554 doi "https://doi.org/10.48550/arxiv.1809.01218" @default.
• W2891782554 hasPublicationYear "2018" @default.
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