标题：Dimension expanded preconditioner for saddle point problems

报告时间：2024年4月20日（星期六）09:00-09:45

报告地点：线上腾讯会议（会议ID:999581771 密码:4328)

主讲人：罗卫华

主办单位：数学与统计学院

报告内容简介：

　　We introduce in this talk a new block preconditioner for solving the saddle point linear systems. The proposed method is developed from an augmented reformulation of the saddle point problem into a new linear system with an almost block triangular coefficient matrix. Theoretical results are derived on the eigenvalue distribution of the preconditioned matrix, and an efficient algorithmic implementation is developed and presented. Several numerical examples are reported to support the theoretical findings and to illustrate the favourable convergence properties of the proposed preconditioner, also compared to other popular solvers for saddle point problems.

主讲人简介：

　　罗卫华，电子科技大学计算数学博士，湖南文理学院教授，围绕偏微分方程数值方法和大型线性方程组的迭代预处理求解进行研究，以第一作者身份在《Mathematics and Computers in Simulation》、《Numerical Functional Analysis and Optimization》、《Applied Mathematics Letters》、《Applied Mathematics and Computation》等国际学术期刊上发表学术研究论文20余篇，主持四川省教育厅重点项目以及湖南省优秀青年基金。