Title	Localization of the Spectrum of a Matrix
Creator	Tsatsomeros, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-08T16:32
Description	New and old results will be presented on the Envelope, $E(A)$, which is a bounded region in the complex plane that contains the eigenvalues of a complex matrix $A$. $E(A)$ is the intersection of an infinite number of regions defined by elliptic curves. As such, $E(A)$ resembles and is contained in the numerical range of $A$, which is the intersection of an infinite number of half-planes. The Envelope, however, can be much smaller than the numerical range, while not being much harder to compute. The talk is based on joint work with Panos Psarrakos, Maria Adam and Katerina Aretaki.
Extent	31 minutes
Subject	Mathematics; Linear and multilinear algebra; matrix theory; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Washington State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362593
URI	http://hdl.handle.net/2429/64259
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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