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, 2016, Volume 453, Pages 172–188 (Mi znsl6377)  
On block generalizations of $\mathcal H$-matrices

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (227 kB)
References:
PDF
HTML
Abstract: The paper considers some classes of block matrices that can be regarded as block generalizations of the class of $\mathcal H$-matrices and interrelations among them. New bounds for the infinity norm of inverses for matrices in the classes under consideration are suggested.
Key words and phrases: block matrix, block comparison matrix, $\mathcal H$-matrix, block $\mathcal H$-matrix, SDD matrix, BSDD matrix, $\mathrm P\mathcal H$-matrix, $\mathrm{QP}\mathcal H$-matrix, block $\mathrm P\mathcal H$-matrix, inverse matrix, infinity norm, upper bound.
Received: 26.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 6, Pages 926–936
DOI: https://doi.org/10.1007/s10958-017-3462-9
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “On block generalizations of $\mathcal H$-matrices”, Computational methods and algorithms. Part XXIX, Zap. Nauchn. Sem. POMI, 453, POMI, St. Petersburg, 2016, 172–188; J. Math. Sci. (N. Y.), 224:6 (2017), 926–936
Citation in format AMSBIB
\Bibitem{Kol16}
\by L.~Yu.~Kolotilina
\paper On block generalizations of $\mathcal H$-matrices
\inbook Computational methods and algorithms. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 453
\pages 172--188
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3593986}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 6
\pages 926--936
\crossref{https://doi.org/10.1007/s10958-017-3462-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021274711}
Linking options:
  • https://www.mathnet.ru/eng/znsl6377
  • https://www.mathnet.ru/eng/znsl/v453/p172
    • 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:160
    Full-text PDF :30
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024