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 182–195 (Mi znsl6060)  

This article is cited in 26 scientific papers (total in 26 papers)

Bounds for the inverses of generalized Nekrasov matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: The paper considers upper bounds for the infinity norm of the inverse for matrices in two subclasses of the class of (nonsingular) $H$-matrices, both of which contain the class of Nekrasov matrices. The first one has been introduced recently and consists of the so-called $S$-Nekrasov matrices. For $S$-Nekrasov matrices, the known bounds are improved. The second subclass consists of the so-called QN- (quasi-Nekrasov) matrices, which are defined in the present paper. For QN-matrices, an upper bound on the infinity norm of the inverses is established. It is shown that in application to Nekrasov matrices the new bounds are generally better than the known ones.
Key words and phrases: $S$-Nekrasov matrix, Quasi-Nekrasov matrix, Nekrasov matrix, $H$-matrix, SDD-matrix, $S$-SDD matrix, inverse matrix, infinity norm, upper bound, Varah's bound.
Received: 15.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 786–794
DOI: https://doi.org/10.1007/s10958-015-2401-x
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds for the inverses of generalized Nekrasov matrices”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 182–195; J. Math. Sci. (N. Y.), 207:5 (2015), 786–794
Citation in format AMSBIB
\Bibitem{Kol14}
\by L.~Yu.~Kolotilina
\paper Bounds for the inverses of generalized Nekrasov matrices
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 182--195
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6060}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 786--794
\crossref{https://doi.org/10.1007/s10958-015-2401-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949624647}
Linking options:
  • https://www.mathnet.ru/eng/znsl6060
  • https://www.mathnet.ru/eng/znsl/v428/p182
  • This publication is cited in the following 26 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:242
    Full-text PDF :75
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025