Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik YuUrGU. Ser. Mat. Model. Progr.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2023, Volume 16, Issue 2, Pages 104–110
DOI: https://doi.org/10.14529/mmp230210
(Mi vyuru689)
 

Short Notes

Algorithms invenire asymptotic formulas eigenvalues discreta semi-terminus operators

S. I. Kadchenko, L. S. Ryazanova

Magnitogorsk State Technical University, Magnitogorsk, Russian Federation
References:
Abstract: Methods for finding asymptotic formulas for eigenvalues of discrete semibounded operators given on compact sets are individual in each case. Therefore, it becomes necessary to develop algorithms that allow one to find asymptotic formulas for the eigenvalues of any discrete semi-bounded operators given on compact sets. This will greatly simplify their finding and allow you to write programs to obtain asymptotic formulas. These algorithms will help to find asymptotic formulas for eigenvalues of vector operators given on finite connected graphs.
In the article, based on the methods developed earlier, an algorithm is created that allows finding asymptotic formulas for eigenvalues with any ordinal number for discrete semi-bounded operators given on compact sets. Examples are given of comparing asymptotic formulas found by the developed method and known formulas previously obtained by other authors, which are in good agreement with each other.
Keywords: asymptotic formulas, eigenvalues and eigenfunctions of linear operators, discrete semibounded operators.
Received: 18.01.2023
Document Type: Article
UDC: 519.624.3
MSC: 47A10
Language: Russian
Citation: S. I. Kadchenko, L. S. Ryazanova, “Algorithms invenire asymptotic formulas eigenvalues discreta semi-terminus operators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:2 (2023), 104–110
Citation in format AMSBIB
\Bibitem{KadRya23}
\by S.~I.~Kadchenko, L.~S.~Ryazanova
\paper Algorithms invenire asymptotic formulas eigenvalues discreta semi-terminus operators
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2023
\vol 16
\issue 2
\pages 104--110
\mathnet{http://mi.mathnet.ru/vyuru689}
\crossref{https://doi.org/10.14529/mmp230210}
Linking options:
  • https://www.mathnet.ru/eng/vyuru689
  • https://www.mathnet.ru/eng/vyuru/v16/i2/p104
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024