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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)
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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}
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    • 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
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