RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Tr. Inst. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Inst. Mat., 2014, Volume 22, Number 1, Pages 122–130 (Mi timb214)  

A gradient descent method for solving of one class of nonlinear multiparameter eigenvalue problems

V. V. Khlobystova, B. M. Podlevskyib, O. S. Yaroshkoc

a Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv
b Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv
c Ivan Franko National Lviv University, Ukraine

Abstract: In the real Hilbert space the nonlinear multiparameter spectral problem is put in accordance to the variation problem on zero minimum of some functional. The equivalence of spectral and variation problems is proved. On the base of gradient procedure the numerical algorithm of finding its eigenvalues and eigenvectors is proposed. The local convergence of this algorithm is proved. The practical application of the algorithm is illustrated on example of nonlinear two-parameter eigenvalue problem.

Full text: PDF file (258 kB)
References: PDF file   HTML file
UDC: 519.6
Received: 18.02.2014
Language:

Citation: V. V. Khlobystov, B. M. Podlevskyi, O. S. Yaroshko, “A gradient descent method for solving of one class of nonlinear multiparameter eigenvalue problems”, Tr. Inst. Mat., 22:1 (2014), 122–130

Citation in format AMSBIB
\Bibitem{KhlPodYar14}
\by V.~V.~Khlobystov, B.~M.~Podlevskyi, O.~S.~Yaroshko
\paper A gradient descent method for solving of one class of nonlinear multiparameter eigenvalue problems
\jour Tr. Inst. Mat.
\yr 2014
\vol 22
\issue 1
\pages 122--130
\mathnet{http://mi.mathnet.ru/timb214}


Linking options:
  • http://mi.mathnet.ru/eng/timb214
  • http://mi.mathnet.ru/eng/timb/v22/i1/p122

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Труды Института математики
    Number of views:
    This page:124
    Full text:66
    References:19

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020