Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations

Yu. V. Bychenkov · Computational Mathematics and Mathematical Physics · 2009

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.

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