Title	KippenhahnÃ¢s Theorem for the joint numerical range
Creator	Sinn, Rainer
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-27T17:35
Description	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.
Extent	30.0 minutes
Subject	Mathematics; Operations research, mathematical programming; Algebraic geometry; Control/Optimization/Operation Research
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Freie Universitaet Berlin
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385852
URI	http://hdl.handle.net/2429/72388
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos