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

In this paper, we propose a generalized shift-HSS (denoted by SFHSS) iteration method for solving nonsingular saddle point systems with nonsymmetric positive definite (1, 1)-block sub-matrix, and theoretically BIOTIN 300MCG verify its convergence property.In addition, we discuss the algebraic properties of the resulted SFHSS preconditioner and estimate the sharp eigenvalue bounds of the related preconditioned matrix.Finally, numerical experiments are given to support our theoretical Cosmetic Bag results and reveal that the new method is feasible and effective.