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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 983–995 (Mi zvmmf453)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimization of the generalized method of Hermitian and skew-Hermitian splitting iterations for solving symmetric saddle-point problems

Yu. V. Bychenkov

Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: An algorithm for solving a nonsingular symmetric system of linear equations with a saddle point is examined. This algorithm has two constant iteration parameters and is an extension of the algorithm of Hermitian and skew-Hermitian splitting iterations (the HSS algorithm). Analytical formulas are derived for the optimal values of the iteration parameters. The formulation of the optimization problem is a classical one for the saddle-point problems. The results obtained are sharp.
Key words: saddle-point operator, method of Hermitian and skew-Hermitian splitting iterations, HSS algorithm, GPHSS algorithm.
Received: 20.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 937–948
DOI: https://doi.org/10.1134/S0965542506060030
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: Yu. V. Bychenkov, “Optimization of the generalized method of Hermitian and skew-Hermitian splitting iterations for solving symmetric saddle-point problems”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 983–995; Comput. Math. Math. Phys., 46:6 (2006), 937–948
Citation in format AMSBIB
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\paper Optimization of the generalized method of Hermitian and skew-Hermitian splitting iterations for solving symmetric saddle-point problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 983--995
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\transl
\jour Comput. Math. Math. Phys.
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\issue 6
\pages 937--948
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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