On the perturbation of the group inverse and oblique projection

被引：69
作者：
Wei, YM [1 ]
机构：
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 98卷 / 01期
关键词：
group inverse; perturbation; index; rank; Jordan canonical form;
D O I：
10.1016/S0096-3003(97)10151-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For given matrices A and E which are n x n matrices and B = A + E, we discuss upper bounds for parallel to B(#)parallel to, parallel to BB(#)parallel to, parallel to B-# - A(#)parallel to/parallel to A(#)parallel to and parallel to BB# - AA(#)parallel to/parallel to AA(#)parallel to, also a lower bound for parallel to B(#)parallel to is derived. (C) 1999 Elsevier Science Inc. All right reserved.
引用
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页码：29 / 42
页数：14
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