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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
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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}
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  • https://www.mathnet.ru/eng/znsl/v453/p172
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