The perturbation for the solution of rectangular linear systems

摘要：

In this paper, the normwise perturbation theory for the W-weighted Drazin inverse solution of rectangular linear systems is investigated. When we take PQ-norm, we get the perturbation bound for the solution. Further, we show the minimum quality of condition number in the perturbation bound. Our work can be seen as the extended results for Drazin inverse solution of singular linear systems.

关键词： perturbation rectangular linear systems W-weighted Drazin inverse condition number norm

作者: Chao Gu Guorong Wang

作者单位: School of Math.And Info., Shanghai LiXin University of Commerce, Shanghai 201620, P.R.China Departme Department of Mathematics, Shanghai Normal University, Shanghai 200234, P.R.China

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: 462-466

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）