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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 990–991 (Mi zvmmf5565)  

Scientific communications

Growth of extradiagonal elements of a matrix in bordering methods

Kh. D. Ikramov

Moscow
Abstract: The off-diagonal elements of the intermediate matrices of the bordering method (or of the mathematically equivalent optimal elimeination method) are interpreted as Gaussian multipliers of submatrices of the inverse matrix. On the basis of this interpretation, sufficient conditions are found for the growth of the off-diagonal elements to be zero or bounded.
Received: 16.06.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 138–139
DOI: https://doi.org/10.1016/S0041-5553(83)80143-8
Bibliographic databases:
Document Type: Article
UDC: 519.613
MSC: Primary 65F05; Secondary 65F35
Language: Russian
Citation: Kh. D. Ikramov, “Growth of extradiagonal elements of a matrix in bordering methods”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 990–991; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 138–139
Citation in format AMSBIB
\Bibitem{Ikr83}
\by Kh.~D.~Ikramov
\paper Growth of extradiagonal elements of a matrix in bordering methods
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 990--991
\mathnet{http://mi.mathnet.ru/zvmmf5565}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717028}
\zmath{https://zbmath.org/?q=an:0529.65008}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 138--139
\crossref{https://doi.org/10.1016/S0041-5553(83)80143-8}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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