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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 439, Pages 145–158 (Mi znsl6207)  
This article is cited in 9 scientific papers (total in 9 papers)

Bounds on the $l_\infty$ norm of inverses for certain block matrices

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (210 kB) Citations (9)
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Abstract: The paper suggests upper bounds for the $l_\infty$ norm of the inverses to block matrices belonging to certain subclasses of the class of block $\mathcal H$-matrices, which improve and supplement known results.
Key words and phrases: inverse matrix, block matrix, $\mathcal M$-matrix, $\mathcal H$-matrix, block $\mathcal H$-matrix, infinity norm, upper bound, SDD matrix, $S$-SDD matrix, Nekrasov matrix, $S$-Nekrasov matrix, quasi-Nekrasov matrix, $\mathrm P\mathcal H$-matrix, block $\mathrm P\mathcal H$-matrix.
Received: 29.10.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 6, Pages 816–824
DOI: https://doi.org/10.1007/s10958-016-2947-2
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds on the $l_\infty$ norm of inverses for certain block matrices”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 145–158; J. Math. Sci. (N. Y.), 216:6 (2016), 816–824
Citation in format AMSBIB
\Bibitem{Kol15}
\by L.~Yu.~Kolotilina
\paper Bounds on the $l_\infty$ norm of inverses for certain block matrices
\inbook Computational methods and algorithms. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 439
\pages 145--158
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3502389}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 6
\pages 816--824
\crossref{https://doi.org/10.1007/s10958-016-2947-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976293832}
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  • https://www.mathnet.ru/eng/znsl/v439/p145
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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