Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 11, Pages 1817–1828
DOI: https://doi.org/10.31857/S0044466923110108 (Mi zvmmf11646) 		 
This article is cited in 3 scientific papers (total in 3 papers)

General numerical methods

On a particular solution of the $\sigma$-commutation problem $(\sigma\ne0,\pm1)$ for Toeplitz and Hankel matrices

V. N. Chugunova, Kh. D. Ikramovb

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina, 8, 119333, Moscow, Russia
b Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics, Lenin Hills, 119992, Moscow, Russia
Full-text PDF Citations (3)
DOI: https://doi.org/10.31857/S0044466923110108
Abstract: A unified approach is proposed to the construction of matrix pairs $(T,H)$ that solve the $\sigma$-commutation problem for Toeplitz and Hankel matrices. For a certain particular case, a family of solutions is derived.
Key words: Toeplitz matrix, Hankel matrix, $\sigma$-commutation, $\varphi$-circulant.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-286
V.N. Chugunov was supported by the Moscow Center for Fundamental and Applied Mathematics at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (agreement with the Ministry of Education and Science of the Russian Federation no. 075-15-2022-286).
Received: 21.02.2023
Revised: 29.06.2023
Accepted: 25.07.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 11, Pages 2038–2049
DOI: https://doi.org/10.1134/S0965542523110076
Bibliographic databases:
Document Type: Article
UDC: 512.643.8
Language: Russian
Citation: V. N. Chugunov, Kh. D. Ikramov, “On a particular solution of the $\sigma$-commutation problem $(\sigma\ne0,\pm1)$ for Toeplitz and Hankel matrices”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023), 1817–1828; Comput. Math. Math. Phys., 63:11 (2023), 2038–2049
Citation in format AMSBIB
\Bibitem{ChuIkr23}
\by V.~N.~Chugunov, Kh.~D.~Ikramov
\paper On a particular solution of the $\sigma$-commutation problem $(\sigma\ne0,\pm1)$ for Toeplitz and Hankel matrices
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 11
\pages 1817--1828
\mathnet{http://mi.mathnet.ru/zvmmf11646}
\crossref{https://doi.org/10.31857/S0044466923110108}
\elib{https://elibrary.ru/item.asp?id=54720589}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 11
\pages 2038--2049
\crossref{https://doi.org/10.1134/S0965542523110076}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11646
  • https://www.mathnet.ru/eng/zvmmf/v63/i11/p1817
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025