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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 796–816 (Mi zvmmf289)  
This article is cited in 19 scientific papers (total in 19 papers)

Regularized dual method for nonlinear mathematical programming

M. I. Sumin

Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia
Full-text PDF (2533 kB) Citations (19)
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Abstract: For a nonlinear programming problem with equality constraints in a Hilbert space, a dual-type algorithm is constructed that is stable with respect to input data errors. The algorithm is based on a modified dual of the original problem that is solved directly by applying Tikhonov regularization. The algorithm is designed to determine a norm-bounded minimizing sequence of feasible elements. An iterative regularization of the dual algorithm is considered. A stopping rule for the iteration process is given in the case of a finite fixed error in the input data.
Key words: nonlinear mathematical programming, duality, regularizing algorithm, dual iterative regularization, stopping rule.
Received: 24.11.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 5, Pages 760–779
DOI: https://doi.org/10.1134/S0965542507050041
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: M. I. Sumin, “Regularized dual method for nonlinear mathematical programming”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 796–816; Comput. Math. Math. Phys., 47:5 (2007), 760–779
Citation in format AMSBIB
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\by M.~I.~Sumin
\paper Regularized dual method for nonlinear mathematical programming
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\issue 5
\pages 796--816
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2378659}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 5
\pages 760--779
\crossref{https://doi.org/10.1134/S0965542507050041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249730428}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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