Non UBC
DSpace
Rainer Sinn
2019-11-24T11:05:47Z
2019-05-27T17:35
By the Toeplitz-Hausdorff theorem in convex analysis, the numerical range of a complex square matrix is a convex compact subset of the complex plane. Kippenhahn's theorem describes the numerical range as the convex hull of an algebraic curve that is dual to a hyperbolic curve. For the joint numerical range of several matrices, the direct analogue of Kippenhahn's theorem is known to fail. We discuss the geometry behind these results and prove a generalization of Kippenhahn's theorem that holds in any dimension. Joint work with Daniel Plaumann and Stephan Weis.
https://circle.library.ubc.ca/rest/handle/2429/72388?expand=metadata
30.0 minutes
video/mp4
Author affiliation: Freie Universitaet Berlin
Banff (Alta.)
10.14288/1.0385852
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Operations Research, Mathematical Programming, Algebraic Geometry, Control/Optimization/Operation Research
KippenhahnÃ¢s Theorem for the joint numerical range
Moving Image
http://hdl.handle.net/2429/72388