Rank inequalities for positive semidefinite matrices

被引：6
|
作者：
Lundquist, M
Barrett, W
机构：
[1] Department of Mathematics, Brigham Young University, Provo
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 248卷
关键词：
D O I：
10.1016/0024-3795(95)00170-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several inequalities relating the rank of a positive semidefinite matrix with the ranks of various principal submatrices are presented. These inequalities are analogous to known determinantal inequalities for positive definite matrices, such as Fischer's inequality, Koteljanskii's inequality, and extensions of these associated with chordal graphs.
引用
收藏
页码：91 / 100
页数：10
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