Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 83–89 (Mi timm841)  
This article is cited in 4 scientific papers (total in 5 papers)

Interior penalty functions and duality in linear programming

I. I. Eremina, L. D. Popovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (148 kB) Citations (5)
References:
PDF
HTML
Abstract: Logarithmic additive terms of barrier type with a penalty parameter are included into the Lagrange function of a linear programming problem. As a result, the problem of searching for saddle points of the modified Lagrangian becomes unconstrained (the saddle point is sought with respect to the whole space of primal and dual variables). Theorems on the asymptotic convergence to the desired solution and analogs of the duality theorems for the arising optimization minimax and maximin problem statements are formulated.
Keywords: linear programming, uality, inner penalty functions.
Received: 25.02.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 56–63
DOI: https://doi.org/10.1134/S0081543813090058
Bibliographic databases:
Document Type: Article
UDC: 519.658.4
Language: Russian
Citation: I. I. Eremin, L. D. Popov, “Interior penalty functions and duality in linear programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 83–89; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 56–63
Citation in format AMSBIB
\Bibitem{ErePop12}
\by I.~I.~Eremin, L.~D.~Popov
\paper Interior penalty functions and duality in linear programming
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 83--89
\mathnet{http://mi.mathnet.ru/timm841}
\elib{https://elibrary.ru/item.asp?id=17937012}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 283
\issue , suppl. 1
\pages 56--63
\crossref{https://doi.org/10.1134/S0081543813090058}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000327079000005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887605423}
Linking options:
  • https://www.mathnet.ru/eng/timm841
  • https://www.mathnet.ru/eng/timm/v18/i3/p83
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:342
    Full-text PDF :123
    References:54
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024