This paper addresses the issue of which strong duality holds between parametric robust semi-definite linear optimization problems and their dual programs. In the case of a spectral norm uncertainty ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

In this paper we introduce a primal-dual potential reduction algorithm for positive semi-definite programming. Using the symétrie preserving scalings for both primal and dual interior matrices, we can ...