Functional Analysis and Applications Seminar 

03/04/2009, 15:00 — 16:00 — Room P3.10, Mathematics Building
Ilya Spitkovsky, College of William and Mary, Williamsburg, VA, USA

On common invariant cones for families of matrices

The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for \(2\times 2\) matrices (with no additional restrictions) and for families of simultaneously diagonalizable matrices of any size. Families of matrices with a shared dominant eigenvector are considered under some additional conditions. This is a joint work with Leiba Rodman and Hakan Seyalioglu.