DMS Linear Algebra/Algebra Seminar

Speaker: Samir Raouafi

Title: On the extension of the Kreiss Matrix Theorem

Abstract: Let A be a matrix with spectrum δ(A). The Kreiss Matrix Theorem (KMT), a well-known fact in applied matrix analysis, gives estimates of upper bounds for ∥Aⁿ∥ if δ(A) is in the unit disc, or for ∥e^tA∥ if δ(A) is in the left-half plane based on the resolvent norm. In this talk, we shall discuss some extensions of this celebrated theorem to simply connected compact sets in the complex plane.