- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Approximation and optimization based on quasi-Herglotz...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Approximation and optimization based on quasi-Herglotz functions Ivanenko, Yevhen
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.
Item Metadata
Title |
Approximation and optimization based on quasi-Herglotz functions
|
Creator | |
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 | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Linnaeus University
|
Series | |
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 | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Graduate
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International