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Doklady Akademii Nauk SSSR, 1983, Volume 269, Number 3, Pages 543–547 (Mi dan46009)  

This article is cited in 9 scientific papers (total in 9 papers)

MATHEMATICS

A method of solving a convex programming problem with convergence rate $O\bigl(\frac1{k^2}\bigr)$

Yu. E. Nesterov

Central Economics and Mathematics Institute, USSR Academy of Sciences, Moscow
Full-text PDF (628 kB) Citations (9)
Presented: L. V. Kantorovich
Received: 19.07.1982
Bibliographic databases:
Document Type: Article
UDC: 51
Language: Russian
Citation: Yu. E. Nesterov, “A method of solving a convex programming problem with convergence rate $O\bigl(\frac1{k^2}\bigr)$”, Dokl. Akad. Nauk SSSR, 269:3 (1983), 543–547
Citation in format AMSBIB
\Bibitem{Nes83}
\by Yu.~E.~Nesterov
\paper A method of solving a convex programming problem with convergence rate $O\bigl(\frac1{k^2}\bigr)$
\jour Dokl. Akad. Nauk SSSR
\yr 1983
\vol 269
\issue 3
\pages 543--547
\mathnet{http://mi.mathnet.ru/dan46009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0701288}
\zmath{https://zbmath.org/?q=an:0535.90071}
Linking options:
  • https://www.mathnet.ru/eng/dan46009
  • https://www.mathnet.ru/eng/dan/v269/i3/p543
  • This publication is cited in the following 9 articles:
    1. P. V. Pakshin, Yu. P. Emelyanova, E. Rodzhers, “Sintez upravleniya c iterativnym obucheniem dlya diskretnykh sistem na osnove nablyudatelya sostoyaniya s ispolzovaniem metoda tyazhelogo sharika”, Avtomat. i telemekh., 2024, no. 8, 99–118  mathnet  crossref
    2. K. A. Potashev, D. R. Salimyanova, A. B. Mazo, A. A. Davletshin, A. V. Kosterin, “Chuvstvitelnost interpretatsii rezultatov termometrii izolirovannogo uchastka nagnetatelnoi skvazhiny k pogreshnosti iskhodnykh dannykh”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 166, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2024, 238–249  mathnet  crossref
    3. D. B. Rokhlin, “On the dual gradient descent method for the resource allocation problem in multiagent systems”, J. Appl. Industr. Math., 18:2 (2024), 316–332  mathnet  crossref  crossref
    4. V. N. Govorukhin, “Algoritm identifikatsii vikhrei po vektoram skorosti techeniya na osnove prosteishei matematicheskoi modeli vikhrevoi dinamiki”, Kompyuternye issledovaniya i modelirovanie, 15:6 (2023), 1477–1493  mathnet  crossref
    5. D. B. Rokhlin, “Resource allocation in communication networks with large number of users: the dual stochastic gradient method”, Theory Probab. Appl., 66:1 (2021), 105–120  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. A. S. Beskrovnyi, L. V. Bessonov, D. V. Ivanov, V. S. Zolotov, D. A. Sidorenko, I. V. Kirillova, L. Yu. Kossovich, “Postroenie trekhmernykh tverdotelnykh modelei pozvonkov s ispolzovaniem svertochnykh neironnykh setei”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 21:3 (2021), 368–378  mathnet  crossref
    7. E. L. Gladin, M. Alkousa, A. V. Gasnikov, “Solving convex min-min problems with smoothness and strong convexity in one group of variables and low dimension in the other”, Autom. Remote Control, 82:10 (2021), 1679–1691  mathnet  crossref  crossref  isi
    8. E. A. Vorontsova, A. V. Gasnikov, P. E. Dvurechenskii, A. S. Ivanova, D. A. Pasechnyuk, “Numerical methods for the resource allocation problem in a computer network”, Comput. Math. Math. Phys., 61:2 (2021), 297–328  mathnet  crossref  crossref  isi  elib
    9. M. S. Alkousa, A. V. Gasnikov, D. M. Dvinskikh, D. A. Kovalev, F. S. Stonyakin, “Accelerated methods for saddle-point problem”, Comput. Math. Math. Phys., 60:11 (2020), 1787–1809  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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