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, 2009, Volume 367, Pages 110–120 (Mi znsl3493)  
This article is cited in 7 scientific papers (total in 7 papers)

Diagonal dominance characterization of $PM$- and $PH$-matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (568 kB) Citations (7)
References:
PDF
HTML
Abstract: New characterizations of the so-called $PM$- and $PH$-matrices in terms of generalized diagonal dominance are obtained and used to derive some of their properties. Also it is proved that a $PH$-matrix necessarily has a certain number of strictly diagonally dominant rows. Bibl. – 8 titles.
Key words and phrases: $PM$-matrix, $PH$-mdtrix, quasi-$PM$-matrix, quasi-$PH$-matrix, aggregated matrices, generalized diagonal dominance, $\mathcal S$-strict diagonal dominance.
Received: 18.05.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 165, Issue 5, Pages 556–561
DOI: https://doi.org/10.1007/s10958-010-9825-0
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Diagonal dominance characterization of $PM$- and $PH$-matrices”, Computational methods and algorithms. Part XXII, Zap. Nauchn. Sem. POMI, 367, POMI, St. Petersburg, 2009, 110–120; J. Math. Sci. (N. Y.), 165:5 (2010), 556–561
Citation in format AMSBIB
\Bibitem{Kol09}
\by L.~Yu.~Kolotilina
\paper Diagonal dominance characterization of $PM$- and $PH$-matrices
\inbook Computational methods and algorithms. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 367
\pages 110--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3493}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 165
\issue 5
\pages 556--561
\crossref{https://doi.org/10.1007/s10958-010-9825-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949277512}
Linking options:
  • https://www.mathnet.ru/eng/znsl3493
  • https://www.mathnet.ru/eng/znsl/v367/p110
    • This publication is cited in the following 7 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:349
    Full-text PDF :78
    References:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024