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

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

Blog Article

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, Stride Arm 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 3 Piece King Upholstered Bed preconditioned matrix.Finally, numerical experiments are given to support our theoretical results and reveal that the new method is feasible and effective.