报告题目 (Title)：Title: An efficient variant of HSS preconditioner for generalized saddle-point problems.( 求解广义鞍点问题HSS预处理子的一种有效变形)

报告人 (Speaker)：张居丽 副教授（上海工程技术大学应用数学系）

报告时间 (Time)：2023年11月9日(周四) 14:00

报告地点 (Place)：腾讯会议：924-271-089

邀请人(Inviter)：谭福平

主办部门：理学院数学系

报告摘要：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.