Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 2, Pages 427–445
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002719 (Mi sm2217) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a conjecture of G. Forsythe

P. Ph. Zhuk, L. N. Bondarenko
English version PDF (912 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002719
Abstract: A conjecture of Forsythe on the asymptotic behavior of the $s$-step method of steepest descent for a quadratic functional is confirmed for the two-step method, and the essential range of the asymptotic rate of convergence is found. Conditions are determined for the eigenvalues of the matrix to be in the asymptotic spectrum of the method. Devices for increasing the efficiency of the $s$-step method are proposed and justified on the basis of the results obtained.
Bibliography: 20 titles.
Received: 28.05.1981
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 121(163), Number 4(8), Pages 435–453
Bibliographic databases:
UDC: 519.6
MSC: Primary 41A60, 49D10; Secondary 41A25, 49D07, 68C25
Language: English
Original paper language: Russian
Citation: P. P. Zhuk, L. N. Bondarenko, “On a conjecture of G. Forsythe”, Mat. Sb. (N.S.), 121(163):4(8) (1983), 435–453; Math. USSR-Sb., 49:2 (1984), 427–445
Citation in format AMSBIB
\Bibitem{ZhuBon83}
\by P.~P.~Zhuk, L.~N.~Bondarenko
\paper On a~conjecture of G.~Forsythe
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 4(8)
\pages 435--453
\mathnet{http://mi.mathnet.ru/sm2217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=716106}
\zmath{https://zbmath.org/?q=an:0545.65021}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 427--445
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002719}
Linking options:
  • https://www.mathnet.ru/eng/sm2217
  • https://doi.org/10.1070/SM1984v049n02ABEH002719
  • https://www.mathnet.ru/eng/sm/v163/i4/p435
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:465
    Russian version PDF:122
    English version PDF:15
    References:94
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024