The generalized double shift-splitting preconditioner for nonsymmetric generalized saddle point problems from the steady Navier–Stokes equations
作者: Hong-Tao FanXin-Yun ZhuBing Zheng
作者单位: 1School of Mathematics and Statistics, Lanzhou University
2Institute of Applied Mathematics, College of Science, Northwest A&F University
3Department of Mathematics, University of Texas of the Permian Basin
刊名: Computational and Applied Mathematics, 2018, Vol.37 (3), pp.3256-3266
来源数据库: Springer Journal
DOI: 10.1007/s40314-017-0510-5
关键词: Nonsymmetric generalized saddle point problemGeneralized double shift-splittingKrylov subspace methodConvergence
英文摘要: Abstract(#br)In this paper, a generalized double shift-splitting (GDSS) preconditioner induced by a new matrix splitting method is proposed and implemented for nonsymmetric generalized saddle point problems having a nonsymmetric positive definite (1,1)-block and a positive definite (2,2)-block. Detailed theoretical analysis of the iteration matrix is provided to show the GDSS method, which corresponds to the GDSS preconditioner, is unconditionally convergent. Additionally, a deteriorated GDSS (DGDSS) method is proposed. It is shown that, with suitable choice of parameter matrix, the DGDSS preconditioned matrix has an eigenvalue at 1 with multiplicity n , and the other m eigenvalues are of the form $$1-\lambda $$ 1 - λ with $$|\lambda |<1$$ | λ | < 1 , independently of the Schur complement...
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影响因子:0.452 (2012)

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