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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 75–79 (Mi ivm7506)  
This article is cited in 1 scientific paper (total in 1 paper)

Convergence of skew-symmetric iterative methods

L. A. Krukier, B. L. Krukier

Southern-Russia Regional Center of Information Science, Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (145 kB) Citations (1)
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Abstract: We propose a new technique for investigating the convergence of triangular skew-symmetric and product triangular skew-symmetric iterative methods (introduced earlier by the first author) based on the notion of a field of values of a matrix. We obtain formulas connecting the field of values of the initial matrix, the matrix which determines the iterative method, and eigenvalues of the iterative matrix. We prove that the mentioned methods can converge even if the initial matrix is not dissipative.
Keywords: skew-symmetric iterative methods, field of values of a matrix, convergence of iterative methods.
Received: 11.01.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 64–67
DOI: https://doi.org/10.3103/S1066369X11060090
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: L. A. Krukier, B. L. Krukier, “Convergence of skew-symmetric iterative methods”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 75–79; Russian Math. (Iz. VUZ), 55:6 (2011), 64–67
Citation in format AMSBIB
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\by L.~A.~Krukier, B.~L.~Krukier
\paper Convergence of skew-symmetric iterative methods
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 6
\pages 75--79
\mathnet{http://mi.mathnet.ru/ivm7506}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931707}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 6
\pages 64--67
\crossref{https://doi.org/10.3103/S1066369X11060090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051653666}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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