School ofMathematical and Statistical Sciences

Computational and Applied Math Proseminar

Friday, March 29, 12:15 p.m. PSA 308

Brian Borchers

New Mexico Tech

An Introduction to Semidefinite Programming

Abstract This talk is an introduction to a relatively new area of optimization called semidefinite programming (SDP). Semidefinite programming generalizes linear programming by adding the constraint that a matrix variable in the optimization problem must be a symmetric and positive semidefinite matrix. I will introduce the semidefinite programming problem, explain how a number of interesting problems can be written in SDP form, briefly discuss algorithms used to solve SDP problems, and discuss some research challenges that need to be addressed before SDP can be more widely adopted.