Partial matrices all of whose completions have the same spectrum

被引：2
|
作者：
Huang, Zejun [2 ,3 ]
Zhan, Xingzhi [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Zhejiang A&F Univ, Sch Sci, Hangzhou 311300, Zhejiang, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 09期
关键词：
Partial matrix; Completion; Spectrum; Characteristic polynomial;
D O I：
10.1016/j.laa.2011.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the square partial matrices over a field all of whose. completions have the same spectrum, and determine the maximum number of indeterminates in such partial matrices of a given order as well as the matrices that attain this maximum number. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3061 / 3064
页数：4
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