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Upravlenie Bol'shimi Sistemami, 2015, Issue 54, Pages 66–85 (Mi ubs799)  
Mathematical Control Theory

Dual form reduction in the atomic optimization method

V. V. Pozdyaev

Arzamas Polytechnical Institute of R.E. Alekseev Nizhny Novgorod State Technical University
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Abstract: Unidimensional optimization problems with polynomial objective function and inequality constraints are considered. For problems dual to their linear relaxations a transformation is presented that makes them compatible with the atomic optimization method, both in its basic and in the generalized form with a reduced number of atoms.
Keywords: nonlinear programming, matrix inequalities, polynomial inequalities, moment theory.
English version:
Automation and Remote Control, 2017, Volume 78, Issue 5, Pages 940–952
DOI: https://doi.org/10.1134/S0005117917050150
Bibliographic databases:
Document Type: Article
UDC: 681.5.011 + 519.853.4
BBC: 32.965 + 22.19
Language: Russian
Citation: V. V. Pozdyaev, “Dual form reduction in the atomic optimization method”, UBS, 54 (2015), 66–85; Autom. Remote Control, 78:5 (2017), 940–952
Citation in format AMSBIB
\Bibitem{Poz15}
\by V.~V.~Pozdyaev
\paper Dual form reduction in the atomic optimization method
\jour UBS
\yr 2015
\vol 54
\pages 66--85
\mathnet{http://mi.mathnet.ru/ubs799}
\elib{https://elibrary.ru/item.asp?id=23769370}
\transl
\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 5
\pages 940--952
\crossref{https://doi.org/10.1134/S0005117917050150}
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