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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 145–165 (Mi znsl6646)  
This article is cited in 7 scientific papers (total in 7 papers)

On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich type (DZT) matrices and their inverses

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (255 kB) Citations (7)
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Abstract: The paper is mainly devoted to studying the so-called Dashnic–Zusmanovich type (DZT) matrices, introduced recently. Interrelations among the DZT matrices and related subclasses of the class of nonsingular $\mathcal{H}$-matrices, namely, the Dashnic–Zusmanovich (DZ) and $S$-SDD matrices are considered. Upper bounds for the $l_\infty$-norm of the inverses to DZT, DZ, and strictly diagonally dominant (SDD) matrices are obtained.
Key words and phrases: nonsingular $\mathcal H$-matrices, Dashnic–Zusmanovich (DZ) matrices, Dashnic–Zusmanovich type (DZT) matrices, $S$-SDD matrices, SDD matrices, upper bounds, $l_\infty$-norm, inverse matrices, transvections.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-01
Received: 01.10.2018
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich type (DZT) matrices and their inverses”, Computational methods and algorithms. Part XXXI, Zap. Nauchn. Sem. POMI, 472, POMI, St. Petersburg, 2018, 145–165
Citation in format AMSBIB
\Bibitem{Kol18}
\by L.~Yu.~Kolotilina
\paper On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses
\inbook Computational methods and algorithms. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 472
\pages 145--165
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6646}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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