Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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



Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find






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


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 4, Pages 14–24 (Mi uzku1276)  

This article is cited in 2 scientific papers (total in 2 papers)

A cutting method and construction of mixed minimization algorithms on its basis

I. Ya. Zabotin, O. N. Shulgina, R. S. Yarullin

Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (432 kB) Citations (2)
References:
Abstract: We propose a cutting method for conditional minimization of convex functions. We show that it is possible to construct mixed minimization algorithms without losing their convergence on the basis of this method with the assistance of other convex programming methods. The qualitative evaluation of an approximation set, involved in this method, allows us to periodically update the approximation sets in the proposed method and mixed algorithms with the purpose of simplifying the problems of construction of iteration points.
Keywords: approximation set, cutting plane, sequence of approximation, convergence, conditional minimization, mixed algorithms.
Received: 28.09.2014
Document Type: Article
UDC: 519.853
Language: Russian
Citation: I. Ya. Zabotin, O. N. Shulgina, R. S. Yarullin, “A cutting method and construction of mixed minimization algorithms on its basis”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 4, Kazan University, Kazan, 2014, 14–24
Citation in format AMSBIB
\Bibitem{ZabShuYar14}
\by I.~Ya.~Zabotin, O.~N.~Shulgina, R.~S.~Yarullin
\paper A cutting method and construction of mixed minimization algorithms on its basis
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2014
\vol 156
\issue 4
\pages 14--24
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1276}
Linking options:
  • https://www.mathnet.ru/eng/uzku1276
  • https://www.mathnet.ru/eng/uzku/v156/i4/p14
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:408
    Full-text PDF :145
    References:48
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024