The Barycenter of the Numerical Range
S. Allen Broughton, Rose-Hulman Institute of
Roger Lautzenheiser, Rose-Hulman Institute of
Thomas Werne - Jet Propulsion Laboratory (coauthor)
November 28, 2007
Indiana State University Math and CS Research Seminar
Abstract: The numerical range of an operator A on a complex vector space is
the set of all scalar products <AX,X> as X varies in the unit ball.
It is a compact convex set in the complex plane. Geometrical
properties of the numerical range imply certain properties about
the operator and vice versa. We will present some basic properties
and examples of numerical ranges and then focus discussion on the
barycentre of the numerical range.
Most of the talk will require nothing more than linear algebra.
Lecture and other materials
This page last updated on 28 Nov 07.