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Online only -- On the Spectral Variation of Almost Normal Matrices and it’s Applications -- analsyis seminar

Event Type: 
Seminar
Speaker: 
José Garcia
Event Date: 
Friday, September 22, 2023 - 3:00pm
Location: 
Online only
Audience: 
Faculty/StaffStudents

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.

Event Contact

Contact Name: Terry Loring

Contact Email: tloring@unm.edu