Recently,some researchers proposed a class of new extended shift-splitting(NESS)preconditioners for solving the nonsingular saddle point problems.The convergence properties of the NESS iteration and the spectral distribution of the NESS preconditioned matrix are investigated.In this paper,the NESS iterative method for solving singular saddle point problems is further studied,and it proves that the semi-convergence of the NESS method with the assumption that the(1,1)-block sub-matrix should be symmetric positive definite.Finally,numerical experiments are carried out to illustrate the feasibility and effectiveness of the NESS iterative method in solving the singular saddle point problem under appropriate parameters.
关键词
奇异鞍点问题/伪谱半径/半收敛性/NESS迭代法/数值实验
Key words
singular saddle point problems/pseudo-spectral radius/semi-convergence/NESS iterative methods/numerical experiment
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