- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Localization of the Spectrum of a Matrix
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Localization of the Spectrum of a Matrix Tsatsomeros, Michael
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.
Item Metadata
Title |
Localization of the Spectrum of a Matrix
|
Creator | |
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 | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Washington State University
|
Series | |
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 | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International