汇报标题 (Title)：Title: An efficient variant of HSS preconditioner for generalized saddle-point problems.( 求解广义鞍点问题HSS预处置子的一种有效变形)
汇报人 (Speaker)：张居丽 副教授（上海工程技术大学利用数学系）
汇报功夫 (Time)：2023年11月9日(周四) 14:00
汇报地址 (Place)：腾讯会议：924-271-089
约请人(Inviter)：谭福平
主办部门：理学院数学系
汇报提要：In this talk, an efficient variant of HSS preconditioner for generalized saddle point problems is presented. By switching the positions of the two splitting matrices in the HSS preconditioner, together with some modifications combined with the relaxation preconditioning technique, the new preconditioner is much closer to the coefficient matrix and easier to be implemented. Theoretical analyses show that the corresponding iteration method converges to the unique solution of the generalized saddle point problem under certain conditions. The spectral properties, including bounds on the eigenvalues and condition numbers of the eigenvectors, for the preconditioned matrix, are also discussed.
