Polynomial Optimization: SOS and Nonnegative Polynomials

This lecture by the instructor covers the concept of polynomial optimization, focusing on sum-of-squares (SOS) polynomials and nonnegative polynomials. The lecture explains how to minimize polynomials by checking nonnegativity and introduces the theorem by Hilbert. It also delves into the representation of polynomials as quadratic functions of monomials and provides theorems and proofs related to SOS polynomials.