ACI-matrices all of whose completions have the same rank

被引：9
|
作者：
Huang, Zejun [1 ]
Zhan, Xingzhi [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 08期
关键词：
Partial matrix; ACI-matrix; Completion; Rank;
D O I：
10.1016/j.laa.2010.11.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the ACI-matrices all of whose completions have the same rank, determine the largest number of indeterminates in such partial matrices of a given size, and determine the partial matrices that attain this largest number. (C) 2010 Elsevier Inc. All rights reserved.
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页码：1956 / 1967
页数：12
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