文献类型：期刊文献

英文题名：The block independence in the generalized inverse AT,S(2) for some ordered matrices and applications

作者：Song, Guang-Jing[1];Yu, Shaowen[2]

机构：[1]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2014

卷号：232

起止页码：399

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20140817356099);WOS:【SCI-EXPANDED(收录号:WOS:000335201700040)】；

基金：The research was supported by National Natural Science Foundation of China (10326066) and the Doctoral Program of Shan Dong Provience (BS2013SF011).

语种：英文

外文关键词：Rank; Linear matrix expression; Moore-Penrose inverse; Drazin inverse; Weighted Moore-Penrose inverse; Block matrix

摘要：In this paper, the definition of block independence in the generalized inverse /1.(r2. is firstly given, and then a necessary and sufficient condition for some ordered matrices to be block independent in the generalized inverse AN is derived. As an application, a necessary and sufficient condition for (A(1) +A(2) +...+A(k))(T,S)((2)) = A(1T1S1)((2)) + A(2T1S1)((2)) +...+Ak(TkSk)((2)) is proved. Moreover, some results are shown with respect to the Moore-Penrose inverse, the Weighted Moore-Penrose inverse and the Drazin inverse, respectively. (C) 2014 Elsevier Inc. All rights reserved.