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}.
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页数：15
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