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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 231–240 (Mi timm1017)  
This article is cited in 7 scientific papers (total in 7 papers)

On the stable sequential Lagrange principle in convex programming and its application for solving unstable problems

M. I. Sumin

N. I. Lobachevski State University of Nizhni Novgorod, Faculty of Mechanics and Mathematics
Full-text PDF (197 kB) Citations (7)
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Abstract: The convex programming problem in a Hilbert space with an operator equality constraint and a finite number of functional inequality constraints is considered. The Lagrange principle stable with respect to errors in the initial data is proved for this problem in a sequential nondifferential form. The possibility of its application for solving unstable optimization problems and inverse problems is discussed.
Keywords: convex programming, sequential optimization, parametric problem, Lagrange principle in non-differential form, Kuhn–Tucker theorem, duality, regularization, perturbation method, optimal control, inverse problem.
Received: 10.04.2013
Bibliographic databases:
Document Type: Article
UDC: 519.853.3+517.977
Language: Russian
Citation: M. I. Sumin, “On the stable sequential Lagrange principle in convex programming and its application for solving unstable problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 231–240
Citation in format AMSBIB
\Bibitem{Sum13}
\by M.~I.~Sumin
\paper On the stable sequential Lagrange principle in convex programming and its application for solving unstable problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 4
\pages 231--240
\mathnet{http://mi.mathnet.ru/timm1017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364381}
\elib{https://elibrary.ru/item.asp?id=20640520}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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