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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 223–228 (Mi zvmmf5440)  

Scientific communications

On the convergence of Seidel's method for solving a system of linear algebraic equations

N. P. Salikhov

Moskva
Abstract: New sufficient conditions are found for the convergence of Seidel's method for solving linear systems. It is shown by examples that, using these conditions, the convergence of Seidel's method can be proved, while the convergence of Seidel's method and simple iteration cannot be proved by the previously known sufficient conditions.
Received: 28.07.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 227–233
DOI: https://doi.org/10.1016/0041-5553(79)90081-8
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: Primary 65F10; Secondary 65F35, 15A60
Language: Russian
Citation: N. P. Salikhov, “On the convergence of Seidel's method for solving a system of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 223–228; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 227–233
Citation in format AMSBIB
\Bibitem{Sal79}
\by N.~P.~Salikhov
\paper On the convergence of Seidel's method for solving a system of linear algebraic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 223--228
\mathnet{http://mi.mathnet.ru/zvmmf5440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525480}
\zmath{https://zbmath.org/?q=an:0408.65018}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 227--233
\crossref{https://doi.org/10.1016/0041-5553(79)90081-8}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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