Online only -- On the Spectral Variation of Almost Normal Matrices and it’s Applications -- analsyis seminar
Event Description:
Moving online: Covid is circulating the deparment, it seems. This week's talk will be online only.
Abstract: It is well known that Weyl’s Perturbation theorem tells us that for a Hermitian Matrix M the ith eigenvalue is Lipschitz continuous. However, this fails to be the case for non-normal matrices M. We explore results by Axel Ruhe that more or less say that if a matrix M is almost normal, then the ith eigenvalue is at least pointwise continuous. We finalize the talk by considering an application in physics.
Zoom link (UNM, UMN and FAMU only) https://unm.zoom.us/j/91006209871
Note: Second talk on Lin's thoerem will happen later in the semester.