Seminar No.1739 What does it really mean by eigenvalue continuity? Created Date 12/13/2018 谭福平   View Numbers  122 Return
 Title: What does it really mean by eigenvalue continuity?Reporter: Prof. Fuzhen Zhang (Nova Southeastern University)Time: 2018-12-14 (Friday) 15:00Place: G507Abstract: The statement that {\em eigenvalues are continuous functions of the entries of matrices} is often seen in the literature. What does it really mean? We take a close look at the definition(s) of {\em eigenvalue continuity}. We also examine and discuss a standard proof of the Ger\v{s}gorin theorem using eigenvalue continuity.