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, 2014, Volume 20, Number 2, Pages 113–121 (Mi timm1063)  
This article is cited in 13 scientific papers (total in 13 papers)

Regularization and normal solutions of systems of linear equations and inequalities

A. I. Golikov, Yu. G. Evtushenko

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
Full-text PDF (158 kB) Citations (13)
References:
PDF
HTML
Abstract: The paper provides some examples of mutually dual unconstrained optimization problems originating from regularization problems for systems of linear equations and/or inequalities. The solution of each of these mutually dual problems can be found from the solution of the other problem by means of simple formulas. Since mutually dual problems have different dimensions, it is natural to solve the unconstrained optimization problems with smaller dimension.
Keywords: regularization, piecewise quadratic function, unconstrained optimization, mutually dual problems, generalized Newton method.
Received: 14.01.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 102–110
DOI: https://doi.org/10.1134/S0081543815050090
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: A. I. Golikov, Yu. G. Evtushenko, “Regularization and normal solutions of systems of linear equations and inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 113–121; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 102–110
Citation in format AMSBIB
\Bibitem{GolEvt14}
\by A.~I.~Golikov, Yu.~G.~Evtushenko
\paper Regularization and normal solutions of systems of linear equations and inequalities
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 2
\pages 113--121
\mathnet{http://mi.mathnet.ru/timm1063}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3241427}
\elib{https://elibrary.ru/item.asp?id=21585629}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 289
\issue , suppl. 1
\pages 102--110
\crossref{https://doi.org/10.1134/S0081543815050090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000356931500009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84932613718}
Linking options:
  • https://www.mathnet.ru/eng/timm1063
  • https://www.mathnet.ru/eng/timm/v20/i2/p113
    • This publication is cited in the following 13 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:456
    Full-text PDF :177
    References:86
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024