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Master's Talk

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

Title:  Bounds on the Entries of Matrix Functions

Abstract:  Consider a banded matrix A and a smooth function f defined on the spectrum of A. We use Bernstein's Theorem to show that the entries of f(A) are bounded in an exponentially decaying manner away from the main diagonal. Then by representing the entries of f(A) in terms of Riemann-Stieltjes integrals and using Gaussian quadrature rules, we can attain approximations for the entries of f(A). We will also look at some possible applications to preconditioning.

Event Series: