A new augmentation block triangular preconditioner for saddle point-type matrices with singular (1, 1) block

摘要：

In this paper, a new augmentation block triangular preconditioner for saddle point-type matrices with singular (1,1) block is analyzed. If the nullity of the (1,1) block takes its highest possible value, the preconditioned matrix with the block triangular preconditioner has precisely one eigenvalue by choosing the suitable parameters, giving rise to immediate convergence of preconditioned GMRES.

关键词： block triangular preconditioner saddle point-type matrices augmentation nullity

作者: Sheng-Kun Li Ting-Zhu Huang Li-Tao Zhang

作者单位: School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu,Sic School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu,Sic

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 746-749

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）