This article is cited 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.

UDC: 519.61

Received: 25.12.2007
Revised: 04.09.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:3, 398–408

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