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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 11, Pages 1950–1961 (Mi zvmmf377)  
On necessary extremum conditions for finite-dimensional problems with inequality constraints

D. Yu. Karamzin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: The finite-dimensional optimization problem with equality and inequality constraints is examined. The case where the classical regularity condition is violated is analyzed. Necessary second-order extremum conditions are obtained that are stronger versions of some available results.
Key words: finite-dimensional optimization problems, necessary extremum conditions, necessary second-order conditions, abnormal problems.
Received: 18.03.2005
Revised: 23.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 11, Pages 1860–1871
DOI: https://doi.org/10.1134/S0965542506110030
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: D. Yu. Karamzin, “On necessary extremum conditions for finite-dimensional problems with inequality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 1950–1961; Comput. Math. Math. Phys., 46:11 (2006), 1860–1871
Citation in format AMSBIB
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\by D.~Yu.~Karamzin
\paper On necessary extremum conditions for finite-dimensional problems with inequality constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 11
\pages 1950--1961
\mathnet{http://mi.mathnet.ru/zvmmf377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304068}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 11
\pages 1860--1871
\crossref{https://doi.org/10.1134/S0965542506110030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845317281}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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