Author:
Xiong Zhiping,Qin Yingying,Yuan Shifang
Abstract
Abstract
We give in this article the maximal and minimal ranks of the matrix expression A-B
1
V
1
C
1-B
2
V
2
C
2-B
3
V
3
C
3-B
4
V
4
C
4 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 - BM
(1)
C - DN
(1)
G and the partial matrix (A BM
(1)
C DN
(1)
G) with respect to the generalized inverse M
(1) ε M{1} and N
(1) ∈ N{1}.
AMS classifications: 15A03; 15A09; 15A24.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference28 articles.
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T
X ± X
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