FoCM 2014 conference
Workshop B1 - Approximation Theory
December 16, 16:00 ~ 16:25 - Room B21
Using Semidefinite Programming in Approximation Theory
Simon Foucart
University of Georgia, USA - foucart@math.uga.edu
This talk reports on some ongoing work that uncovers many semidefinite relaxations to classic Approximation Theory problems. These include best approximations in the max-norm by trigonometric polynomials, algebraic polynomials, rational functions, and splines. One may deal with unconstrained, one-sided, monotone, or simultaneous approximations alike. Solving the associated semidefinite programs numerically gives new insight on various results and conjectures.