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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 323, Pages 94–131 (Mi znsl383)  
This article is cited in 13 scientific papers (total in 13 papers)

Pseudoblock conditions of diagonal dominance

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (346 kB) Citations (13)
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Abstract: The paper presents new pseudoblock diagonal-dominance conditions for matrices with fixed block partitioning, which generalize the pointwise $k$th-order diagonal-dominance conditions and pointwise circuit diagonal-dominance conditions. For matrices satisfying pseudoblock conditions, the singularity/nonsingularity problem is considered. In particular, for block $2\times 2$ matrices, certain known results are improved and generalized. Some eigenvalue inclusion regions corresponding to pseudoblock nonsingularity conditions are presented.
Received: 14.06.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 3, Pages 4815–4834
DOI: https://doi.org/10.1007/s10958-006-0280-x
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Pseudoblock conditions of diagonal dominance”, Computational methods and algorithms. Part XVIII, Zap. Nauchn. Sem. POMI, 323, POMI, St. Petersburg, 2005, 94–131; J. Math. Sci. (N. Y.), 137:3 (2006), 4815–4834
Citation in format AMSBIB
\Bibitem{Kol05}
\by L.~Yu.~Kolotilina
\paper Pseudoblock conditions of diagonal dominance
\inbook Computational methods and algorithms. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 323
\pages 94--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160311}
\zmath{https://zbmath.org/?q=an:1081.15514}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 3
\pages 4815--4834
\crossref{https://doi.org/10.1007/s10958-006-0280-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746801985}
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  • https://www.mathnet.ru/eng/znsl/v323/p94
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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