Title	Approximation and optimization based on quasi-Herglotz functions
Creator	Ivanenko, Yevhen
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-10T16:23
Description	The set of quasi-Herglotz functions is introduced as a natural extension of the convex cone of Herglotz functions. The new class of functions consists of differences of Herglotz functions and we demonstrate that it has properties that are useful in the modeling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions and we will illustrate that several of the important properties and modeling perspectives are inherited by the new set of quasi-Herglotz functions. In this presentation, we will focus on the approximation theory and the formulation as a convex optimization problem where the generating measure is modeled by using a finite expansion of B-splines and point masses. Numerical examples are included to demonstrate the modeling of a non-passive gain media.
Extent	30.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Linnaeus University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394345
URI	http://hdl.handle.net/2429/76002
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Approximation and optimization based on quasi-Herglotz functions Ivanenko, Yevhen

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