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Graduate Student Colloquium

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Lola Davidson, University of Kentucky

Title:  Applying Bernstein's Theorem to Matrices

Abstract:  Bernstein's Theorem is a theorem that bounds the best approximation error of a smooth function in terms of an ellipse where the function is analytic in its interior. In this talk, we will review this theorem and apply it to symmetric banded matrices to show that the entries of the resulting matrix (after a smooth function is applied) are bounded in an exponentially decaying manner away from the main diagonal.