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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 333–345
DOI: https://doi.org/10.1134/S0371968516020229
(Mi tm3722)
 

This article is cited in 3 scientific papers (total in 3 papers)

Convergence and rate of convergence of some greedy algorithms in convex optimization

V. N. Temlyakovab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Mathematics Department, University of South Carolina, 1523 Greene Street, Columbia, SC 29208, USA
References:
Abstract: The paper gives a systematic study of the approximate versions of three greedy-type algorithms that are widely used in convex optimization. By an approximate version we mean the one where some of evaluations are made with an error. Importance of such versions of greedy-type algorithms in convex optimization and approximation theory was emphasized in previous literature.
Funding agency Grant number
National Science Foundation DMS-1160841
The research was supported by the NSF grant DMS-1160841.
Received: June 21, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 325–337
DOI: https://doi.org/10.1134/S0081543816040222
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
Language: Russian
Citation: V. N. Temlyakov, “Convergence and rate of convergence of some greedy algorithms in convex optimization”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 333–345; Proc. Steklov Inst. Math., 293 (2016), 325–337
Citation in format AMSBIB
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\paper Convergence and rate of convergence of some greedy algorithms in convex optimization
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
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\yr 2016
\vol 293
\pages 333--345
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm/v293/p333
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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