Condition number related with W-weighted Drazin inverse and singular linear systems

被引:12
|
作者
Wang, GR [1 ]
Gu, C [1 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
基金
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词
W-weighted Drazin inverse; index; condition number;
D O I
10.1016/j.amc.2003.12.119
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a PQ-norm and discuss the condition number of the W-weighted Drazin inverse. We get some results on the condition number with respect to A(d,w) and singular linear systems WAWx = b, b is an element of R((WA)(k2)), x is an element of R((AW)(k1)) which are similar to the regular inverse A(-1) and nonsingular linear systems Ax = b. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:435 / 446
页数:12
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