Inverse eigenvalue problems for multivariable linear systems

Abstract

This article, which covers some of the material presented in a minicourse at the MTNS, surveys some recent advances in the area of inverse eigenvalue problems. Those advances were mainly based on several theorems of algebraic geometry. In order to explain this connection and to make the article self-contained, we summarize in the next section the notions and results needed from algebraic geometry. In the sequel we give a series of examples which explain the kind of problems which we would like to treat in a unified way.