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, 2008, Volume 48, Number 10, Pages 1802–1811 (Mi zvmmf96)  
This article is cited in 3 scientific papers (total in 3 papers)

Two methods for minimizing convex functions in a class of nonconvex sets

Yu. A. Chernyaev

Kazan State Technical University, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
Full-text PDF (1375 kB) Citations (3)
References:
PDF
HTML
Abstract: The conditional gradient method and the steepest descent method, which are conventionally used for solving convex programming problems, are extended to the case where the feasible set is the set-theoretic difference between a convex set and the union of several convex sets. Iterative algorithms are proposed, and their convergence is examined.
Key words: $\varepsilon$-stationary point, conditional $\varepsilon$-subdifferential, necessary condition for a local minimum, minimization of convex functions.
Received: 26.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 10, Pages 1768–1776
DOI: https://doi.org/10.1134/S0965542508100047
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. A. Chernyaev, “Two methods for minimizing convex functions in a class of nonconvex sets”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008), 1802–1811; Comput. Math. Math. Phys., 48:10 (2008), 1768–1776
Citation in format AMSBIB
\Bibitem{Che08}
\by Yu.~A.~Chernyaev
\paper Two methods for minimizing convex functions in a~class of nonconvex sets
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 10
\pages 1802--1811
\mathnet{http://mi.mathnet.ru/zvmmf96}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2493767}
\zmath{https://zbmath.org/?q=an:05637925}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 10
\pages 1768--1776
\crossref{https://doi.org/10.1134/S0965542508100047}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262335000004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249098609}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf96
  • https://www.mathnet.ru/eng/zvmmf/v48/i10/p1802
    • 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
    		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