Applied Mathematics Seminar
Kasso Okoudjou
University of Maryland
Fritz John's ellipsoid theorem in frame theory
Abstract: In this talk I will introduce the notion of finite frames
and present some of their elementary properties. In particular, I will
focus on a class of optimally conditioned frames called tight frames.
A question that one could ask is wether one can perfectly precondition
a frame, i.e., one can modify it in such a way that it becomes
optimally conditioned. In the last part of the talk, I will show how
the Fritz John ellipsoid theorem can be used to settle this question.
I will conclude by giving various characterization of the class of
perfectly preconditioned frames.
Monday October 20, 2014 at 4:00 PM in SEO 636