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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 3, Pages 411–421
(Mi zvmmf18)
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This article is cited in 2 scientific papers (total in 2 papers)
Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations
Yu. V. Bychenkov Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia
Abstract:
For a nonsingular symmetric system of linear equations with a saddle point, a Hermitian and skew-Hermitian splitting (HSS) preconditioner is considered. For the preconditioned system, symmetrizability conditions are established under which estimates are derived for the spectrum and the convergence rate of Chebyshev-type algorithms and GMRes.
Key words:
saddle point operator, HSS, preconditioner.
Received: 25.12.2007 Revised: 04.09.2008
Citation:
Yu. V. Bychenkov, “Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 411–421; Comput. Math. Math. Phys., 49:3 (2009), 398–408
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https://www.mathnet.ru/eng/zvmmf18 https://www.mathnet.ru/eng/zvmmf/v49/i3/p411
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