A generalized Shift-HSS splitting method for nonsingular saddle point problems

A generalized Shift-HSS splitting method for nonsingular saddle point problems

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In this paper, we propose a generalized shift-HSS hindigyanvishv.com (denoted by SFHSS) iteration method for solving nonsingular saddle point systems with nonsymmetric positive definite (1, 1)-block sub-matrix, and theoretically verify its convergence property.In addition, we discuss the algebraic properties of the resulted SFHSS preconditioner and telemarkskongen flue estimate the sharp eigenvalue bounds of the related preconditioned matrix.Finally, numerical experiments are given to support our theoretical results and reveal that the new method is feasible and effective.