Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 152–165 (Mi znsl6058)  
This article is cited in 6 scientific papers (total in 6 papers)

Some characterizations of Nekrasov and $S$-Nekrasov matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (200 kB) Citations (6)
References:
PDF
HTML
Abstract: It is known that the Nekrasov and $S$-Nekrasov matrices form subclasses of (nonsingular) $H$-matrices. The paper presents some necessary and sufficient conditions for a square matrix with complex entries to be a Nekrasov and an $S$-Nekrasov matrix. In particular, characterizations of the Nekrasov and $S$-Nekrasov matrices in terms of the diagonal column scaling matrices transforming them into strictly diagonally dominant matrices are obtained.
Key words and phrases: Nekrasov matrices, $S$-Nekrasov matrices, strictly diagonally dominant matrices, $S$-SDD matrices, scaling matrices.
Received: 07.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 767–775
DOI: https://doi.org/10.1007/s10958-015-2399-0
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Some characterizations of Nekrasov and $S$-Nekrasov matrices”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 152–165; J. Math. Sci. (N. Y.), 207:5 (2015), 767–775
Citation in format AMSBIB
\Bibitem{Kol14}
\by L.~Yu.~Kolotilina
\paper Some characterizations of Nekrasov and $S$-Nekrasov matrices
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 152--165
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6058}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 767--775
\crossref{https://doi.org/10.1007/s10958-015-2399-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949627412}
Linking options:
  • https://www.mathnet.ru/eng/znsl6058
  • https://www.mathnet.ru/eng/znsl/v428/p152
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:228
    Full-text PDF :59
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024