THE MAXIMAL AND MINIMAL RANKS OF THE MATRIX EXPRESSION WITH RESPECT TO THREE VARIANT MATRICES

被引：0
作者：
Cheng, Shizhen [1 ,2 ]
机构：
[1] Beijing Inst Civil Engn & Architecture, Dept Basic Sci, Beijing 100044, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2006年 / 6卷 / 01期
关键词：
generalized inverse; invariance; matrix equation; matrix expression; range; rank;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a matrix with some variant entries in it or a matrix expression with some variant matrices in it, the rank of the partial matrix or matrix expression will vary with respect to the variant entries or variant matrices. Many problems in matrix theory and applications are closely related to maximal and minimal possible ranks of matrix expressions with variant matrices. In this paper, we shall find the maximal and minimal ranks of the matrix expression with respect to three variant matrices.
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页码：203 / 212
页数：10
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