SEMI-CONVERGENCE ANALYSIS OF NESS ITERATIVE METHODS FOR SINGULAR SADDLE POINT PROBLEMS
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.
singular saddle point problemspseudo-spectral radiussemi-convergenceNESS iterative methodsnumerical experiment
万方数据
维普
