Hermite indices and equivalence relations

被引：1
作者：
Baragaña, I
Fernández, V
Zaballa, I
机构：
[1] Univ Basque Country, Dept Matemat Aplicada & EIO, Bilbao 48080, Spain
[2] Univ Basque Country, Dept Ciencias Computac & IA, San Sebastian 20080, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 379卷
关键词：
right equivalence; similarity; Hermite normal forms; Hermite indices;
D O I：
10.1016/S0024-3795(03)00477-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hermite indices are invariant for the right equivalence of non-singular polynomial matrices and for the similarity of controllable matrix pairs. Nevertheless, they do not form a complete system of invariants. The aim of this work is to define two equivalence relations, one in the set of non-singular polynomial matrices and the other one in the set of controllable matrix pairs for which the Hermite indices form a complete system of invariants. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：201 / 211
页数：11
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