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The mixed-type reverse-order laws for weighted generalized inverses of a triple matrix product
Chun-Feng Jiang * #,Zhi-Ping Xiong
College of Mathematics and Statistics, Lanzhou University
*Correspondence author
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Funding: 甘肃省自然科学基金，兰州大学基金（No.3ZS051-A25-020）
Opened online:24 January 2008
Accepted by: none
Citation: Chun-Feng Jiang,Zhi-Ping Xiong.The mixed-type reverse-order laws for weighted generalized inverses of a triple matrix product[OL]. [24 January 2008] http://en.paper.edu.cn/en_releasepaper/content/18338
 
 
In this paper, we study a group of mixed-type reverse order laws for weighted generalized inverses of a triple matrix product by using the expressions of maximal and minimal ranks of generalized Schur complement. The necessary and sufficient conditions for this group of mixed-type reverse order laws are presented.
Keywords:Elementary block matrix operations; Weighted generalized inverse; Maximal and minimal ranks; Generalized Schur complement; Reverse-order laws；Mixed-type reverse-order laws.
 
 
 

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