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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 11, Pages 1950–1961
(Mi zvmmf377)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf377 https://www.mathnet.ru/eng/zvmmf/v46/i11/p1950
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Abstract page: | 275 | Full-text PDF : | 133 | References: | 46 | First page: | 1 |
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