The maximal and minimal ranks of matrix expression with applications

被引：0

作者：

Xiong, Zhiping ^{[1
]}

Qin, Yingying ^{[1
]}

Yuan, Shifang ^{[1
]}

机构：

[1] Wuyi Univ, Dept Math, Jiangmen 529020, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

matrix expression; maximal rank; minimal rank; generalized inverse; rank equality; EXTREMAL RANKS; COMPLETIONS; FORMULAS; ASTERISK;

D O I：

10.1186/1029-242X-2012-54

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give in this article the maximal and minimal ranks of the matrix expression A-B1V1C1-B2V2C2-B3V3C3-B4V4C4 with respect to V-1, V-2, V-3, and V-4. As applications, we derive the extremal ranks of the generalized Schur complement A - (BMC)-C-(1) - DN((1))G and the partial matrix (A (BMC)-C-(1) DN((1))G) with respect to the generalized inverse M-(1) epsilon M{1} and N-(1) is an element of N{1}.

引用

页数：15

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