COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


(To see scheduled colloquia please click here.)

Mathematics Colloquium: Spectrum Localization for Complex Matrices


4:00 p.m., Neill Hall 5W

Michael Tsatsomeros

Abstract: Using the notions of the numerical range, Schur complement and unitary equivalence, an inequality is obtained satisfied by each eigenvalue of a complex matrix A. In turn, this inequality gives rise to a region in the complex plane that contains the spectrum of A, improving classical results by Bendixson and Wielandt.