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Upravlenie Bol'shimi Sistemami, 2013, Issue 43, Pages 95–123 (Mi ubs676)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Control Theory

Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities

V. V. Pozdyaev

Arzamas Polytechnical Institute of R. E. Alekseev Nizhny Novgorod State Technical University
Full-text PDF (797 kB) Citations (3)
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Abstract: We investigate multidimensional optimization problems with polynomial objective function and polynomial matrix inequality constraints and suggest a transformation of the moment-theory-based solution technique. It allows reducing significantly the computational complexity while keeping the ability to solve the problems of the class under consideration.
Keywords: nonlinear programming, matrix inequalities, polynomial inequalities, moment theory.
Document Type: Article
UDC: 681.5.011 + 519.853.4
BBC: 32.965 + 22.18
Language: Russian
Citation: V. V. Pozdyaev, “Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities”, UBS, 43 (2013), 95–123
Citation in format AMSBIB
\Bibitem{Poz13}
\by V.~V.~Pozdyaev
\paper Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities
\jour UBS
\yr 2013
\vol 43
\pages 95--123
\mathnet{http://mi.mathnet.ru/ubs676}
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  • https://www.mathnet.ru/eng/ubs/v43/p95
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Upravlenie Bol'shimi Sistemami
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    References:48
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