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- Ivanenko, YevhenLinnéuniversitetet,Institutionen för fysik och elektroteknik (IFE) (author)
Quasi-Herglotz functions and convex optimization
- BookEnglish2018
Publisher, publication year, extent ...
- 2018
- 24 s.
- electronicrdacarrier
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- LIBRIS-ID:oai:DiVA.org:su-162353
- https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-162353URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-78933URI
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- Language:English
- Summary in:English
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- We introduce the set of quasi-Herglotz functions and demonstrate that it has properties 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. It consists of differences of Herglotz functions, and we show that several of the important properties and modeling perspectives of Herglotz functions are inherited by the new set of quasi-Herglotz functions.In particular, this applies to their integral representations, the associated integral identities or sum rules (with adequate additional assumptions), their boundary values on the real axis and the associated approximation theory.Numerical examples are included to demonstrate the modeling of a non-passive gain media formulated as a convex optimization problem,where the generating measure is modeled by using a finite expansion of B-splines and point masses.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Annan elektroteknik och elektronik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Other Electrical Engineering, Electronic Engineering, Information Engineering hsv//eng
- NATURVETENSKAP Matematik Annan matematik hsv//swe
- NATURAL SCIENCES Mathematics Other Mathematics hsv//eng
- Quasi-Herglotz functions
- non-passive systems
- approximation
- convex optimization
- sum rules
- Mathematics
- matematik
- Waves and Signals
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- Nedic, Mitja,1990-Stockholms universitet,Matematiska institutionen,Stockholm University, Sweden(Swepub:su)mnedi (author)
- Gustafsson, MatsLund University, Sweden (author)
- Jonsson, B. L. G.KTH Royal Institute of Technology, Sweden (author)
- Luger, AnnemarieStockholms universitet,Matematiska institutionen,Stockholm University, Sweden(Swepub:su)aluge (author)
- Nordebo, Sven,1963-Linnéuniversitetet,Institutionen för fysik och elektroteknik (IFE)(Swepub:lnu)snomsi (author)
- LinnéuniversitetetInstitutionen för fysik och elektroteknik (IFE) (creator_code:org_t)
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