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, 2015, Volume 439, Pages 145–158 (Mi znsl6207)  
This article is cited in 9 scientific papers (total in 9 papers)

Bounds on the $l_\infty$ norm of inverses for certain block matrices

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (210 kB) Citations (9)
References:
PDF
HTML
Abstract: The paper suggests upper bounds for the $l_\infty$ norm of the inverses to block matrices belonging to certain subclasses of the class of block $\mathcal H$-matrices, which improve and supplement known results.
Key words and phrases: inverse matrix, block matrix, $\mathcal M$-matrix, $\mathcal H$-matrix, block $\mathcal H$-matrix, infinity norm, upper bound, SDD matrix, $S$-SDD matrix, Nekrasov matrix, $S$-Nekrasov matrix, quasi-Nekrasov matrix, $\mathrm P\mathcal H$-matrix, block $\mathrm P\mathcal H$-matrix.
Received: 29.10.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 6, Pages 816–824
DOI: https://doi.org/10.1007/s10958-016-2947-2
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds on the $l_\infty$ norm of inverses for certain block matrices”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 145–158; J. Math. Sci. (N. Y.), 216:6 (2016), 816–824
Citation in format AMSBIB
\Bibitem{Kol15}
\by L.~Yu.~Kolotilina
\paper Bounds on the $l_\infty$ norm of inverses for certain block matrices
\inbook Computational methods and algorithms. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 439
\pages 145--158
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3502389}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 6
\pages 816--824
\crossref{https://doi.org/10.1007/s10958-016-2947-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976293832}
Linking options:
  • https://www.mathnet.ru/eng/znsl6207
  • https://www.mathnet.ru/eng/znsl/v439/p145
    • This publication is cited in the following 9 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:194
    Full-text PDF :44
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024