## PIMS/UVic Lecture: Michael Tsatsomeros

- Date: 01/09/2014
- Time: 15:30

Lecturer(s):
Michael Tsatsomeros,

*Washington State University*
Location:

University of Victoria

Topic:

The Envelope of a Matrix

Description:

Michael Tsatsomeros will discuss a bounded region E(A) in the complex

plane that contains the eigenvalues of a complex matrix A. E(A) is the

intersection of an infinite number of regions defined by elliptic curves

that were borne in Victoria many years ago. As such, E(A) resembles and

is contained in the numerical range of A, which is the intersection of

an infinite number of half-planes. E(A), however, can be much smaller

than the numerical range, while not being much harder to compute.

Other Information:

Location: Room 116, Hickman Building