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The Saddle Point Problem of Polynomials

Zi Yang
Department of Mathematics, UCSD


This talk discusses the saddle point problem of polynomials. We give an algorithm for computing saddle points, based on Lasserre's hierarchy of Moment-SOS relaxations. Under some genericity assumptions, we show that: i) if there exists a saddle point, the algorithm can get one by solving a finite number of relaxations; ii) if there is no saddle point, the algorithm can detect its nonexistence.

Tuesday, October 27, 2020
11:00AM Zoom Meeting ID: 926 7798 0955