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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1999, Volume 39, Number 3, Pages 371–377 (Mi zvmmf1712)  
This article is cited in 3 scientific papers (total in 3 papers)

On solving indefinite symmetric linear systems by means of the Lanczos method

A. Greenbauma, V. L. Druskinb, L. A. Knizhnermanc

a Mathematics Department, Box 354350, University of Washington, Seattle, WA 98195, USA
b Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA
c Central Geophysical Expedition, Narodnogo Opolcheniya St., 40, bldg. 3, Moscow, 123298 Russia
Full-text PDF (1127 kB) Citations (3)
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Abstract: A new result on the distribution of Ritz values at two consecutive steps of a simple Lanczos process is proved. It is used in showing why the Lanczos method effectively solves indefinite symmetric linear systems in computer arithmetic. The result of a numerical experiment is presented.
Received: 23.01.1998
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: Primary 65F25; Secondary 65F10
Language: English
Citation: A. Greenbaum, V. L. Druskin, L. A. Knizhnerman, “On solving indefinite symmetric linear systems by means of the Lanczos method”, Zh. Vychisl. Mat. Mat. Fiz., 39:3 (1999), 371–377; Comput. Math. Math. Phys., 39:3 (1999), 350–356
Citation in format AMSBIB
\Bibitem{GreDruKni99}
\by A.~Greenbaum, V.~L.~Druskin, L.~A.~Knizhnerman
\paper On solving indefinite symmetric linear systems by means of the Lanczos method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1999
\vol 39
\issue 3
\pages 371--377
\mathnet{http://mi.mathnet.ru/zvmmf1712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1683571}
\zmath{https://zbmath.org/?q=an:0970.65040}
\transl
\jour Comput. Math. Math. Phys.
\yr 1999
\vol 39
\issue 3
\pages 350--356
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  • https://www.mathnet.ru/eng/zvmmf/v39/i3/p371
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :179
    References:46
    First page:1
     
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