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| 解非对称鞍点问题的广义交替分裂预处理子的一个注记 | |
| 引用本文： | 张理涛,谷同祥,孟慧丽.解非对称鞍点问题的广义交替分裂预处理子的一个注记[J].浙江大学学报(理学版),2017,44(2):168-173. |
| 作者姓名： | 张理涛 谷同祥 孟慧丽 |
| 作者单位： | 1. 郑州航空工业管理学院 理学院, 河南 郑州 450015; 2. 北京应用物理与计算数学研究所 计算物理实验室, 北京 100088; 3. 河南师范大学 计算机与信息工程学院, 河南 新乡 453007 |
| 基金项目： | Supported by NSFC(11226337,11501525); Science Technology Innovation Talents in Universities of Henan Province(16HASTIT040);Project of Youth Backbone Teachers of Colleges and Universities in Henan Province(2013GGJS-142,2015GGJS-179); ZZIA Innovation Team Fund(2014TD02);Natural Science Foundation of Zhengzhou City(141PQYJS560). |
| 摘 要： | 最近，曹等提出了解非对称正定（1，1）-块鞍点问题的广义交替分裂预处理子.确立了一类参数交替分裂预处理子.针对新预处理鞍点矩阵，取得了一些有意义的性质，这与广义交替分裂预处理子有交集. |
| 关 键 词： | 非对称鞍点问题 参数化交替分裂 收敛性 预处理子 特征值 |
| 收稿时间： | 2016-04-08 |
A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems |
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| ZHANG Litao,GU Tongxiang,MENG Huili.A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems[J].Journal of Zhejiang University(Sciences Edition),2017,44(2):168-173. | |
| Authors: | ZHANG Litao GU Tongxiang MENG Huili |
| Institution: | 1. College of Science, Zhengzhou University of Aeronautics, Zhengzhou 450015, China; 2. Laboratory of Computationary Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; 3. College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, Henan Province, China |
| Abstract: | Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1,1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner. |
| Keywords: | nonsymmetric saddle point problem parameterized shift-splitting convergence preconditioner eigenvalue |
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