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Diskretnyi Analiz i Issledovanie Operatsii, 2021, Volume 28, Issue 3, Pages 65–89
DOI: https://doi.org/10.33048/daio.2021.28.694 (Mi da1282) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The problems of non-convex quadratic programming related to phased antenna arrays optimization

N. N. Tyunin

Omsk Branch of Sobolev Institute of Mathematics, 13 Pevtsov Street, 644043 Omsk, Russia
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DOI: https://doi.org/10.33048/daio.2021.28.694
Abstract: The problem of short wave phased antenna arrays optimization was formulated as a quadratic programming problem. A penalty functions method and gradient ascent algorithm were applied to analyze a structure of a local optima set. The results of the proposed algorithm were compared with the results of the well-known BARON solver. Tab. 2, illustr. 3, bibliogr. 32.
Keywords: quadratic programming, local optimum, antenna array, gradient optimization, computational experiment.
Funding agency Grant number
Russian Foundation for Basic Research 19-37-90066
The author thanks A. V. Eremeev and A. S. Yurkov for valuable comments.
Received: 15.06.2020
Revised: 07.03.2021
Accepted: 09.03.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 3, Pages 543–557
DOI: https://doi.org/10.1134/S1990478921030157
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: N. N. Tyunin, “The problems of non-convex quadratic programming related to phased antenna arrays optimization”, Diskretn. Anal. Issled. Oper., 28:3 (2021), 65–89; J. Appl. Industr. Math., 15:3 (2021), 543–557
Citation in format AMSBIB
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\by N.~N.~Tyunin
\paper The problems of non-convex quadratic programming related to phased antenna~arrays~optimization
\jour Diskretn. Anal. Issled. Oper.
\yr 2021
\vol 28
\issue 3
\pages 65--89
\mathnet{http://mi.mathnet.ru/da1282}
\crossref{https://doi.org/10.33048/daio.2021.28.694}
\elib{https://elibrary.ru/item.asp?id=47415522}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 3
\pages 543--557
\crossref{https://doi.org/10.1134/S1990478921030157}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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