Events

DMS Linear Algebra/Algebra Seminar

Time: Nov 28, 2017 (04:00 PM)
Location: Parker Hall 356

Details:

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 ∥etA∥ 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.