Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 7, Pages 997–1007 (Mi zvmmf3229)  
This article is cited in 6 scientific papers (total in 6 papers)

Convergence properties of the gradient method under conditions of variable-level inference

S. K. Zavriev

Moscow
Full-text PDF (916 kB) Citations (6)
References:
PDF
HTML
Abstract: The method of steepest gradient descent is considered on the assumption that the values of the objective function and its gradients are computed inaccurately. The limit set of the trajectories of the method is determined. For some types of noise this set cannot be made smaller for any problem of the class under consideration.
Received: 20.02.1989
Revised: 07.12.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 24–32
DOI: https://doi.org/10.1016/0041-5553(90)90040-Y
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
MSC: Primary 90C30; Secondary 90-08, 90C52
Language: Russian
Citation: S. K. Zavriev, “Convergence properties of the gradient method under conditions of variable-level inference”, Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990), 997–1007; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 24–32
Citation in format AMSBIB
\Bibitem{Zav90}
\by S.~K.~Zavriev
\paper Convergence properties of the gradient method under conditions of variable-level inference
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 7
\pages 997--1007
\mathnet{http://mi.mathnet.ru/zvmmf3229}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1070545}
\zmath{https://zbmath.org/?q=an:0738.90075}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 24--32
\crossref{https://doi.org/10.1016/0041-5553(90)90040-Y}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf3229
  • https://www.mathnet.ru/eng/zvmmf/v30/i7/p997
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025