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, Hunting Gloves 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 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 Lacrosse - Protective - Rib are given to support our theoretical results and reveal that the new method is feasible and effective.