February 15, 2012
3:30pm - 4:30pm
Boswell Hall (formerly Morton Hall), Room 220
100 Ukrop Way
Williamsburg, VA 23185Map this location
The field of values is a beautiful subset of the planet, associated in a certain way with any square matrix A. In particular, it contains the spectrum of A, but is easier to compute (especially in high dimensions) than the latter.

I will describe some properties of this set, both classical (going back to Toeplitz and Hausdorff) and recently obtained, and formulate several open problems. Though the difficulty of these problems is unknown (otherwise they would not be open), some progress can be achieved for sure via computational experiments.