##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Zi Yang

#### UC San Diego

## The Saddle Point Problem of Polynomials

##### Abstract:

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.

### October 27, 2020

### 11:00 AM

### Zoom Meeting ID: 926 7798 0955

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