Constant-coefficient differential-algebraic operators and the Kronecker form

被引：0
|
作者：
Puche, Marc [1 ]
Reis, Timo [1 ]
Schwenninger, Felix L. [1 ]
机构：
[1] Univ Hamburg, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 552卷
关键词：
Differential-algebraic equation; Matrix pencil; Kronecker form; Differential operator;
D O I：
10.1016/j.laa.2018.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider constant-coefficient differential-algebraic equations from an operator theoretic point of view. We show that the Kronecker form allows to determine the nullspace and range of the corresponding differential-algebraic operators. This yields simple matrix-theoretic characterizations of features like closed range and Fredholmness. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：29 / 41
页数：13
相关论文
共 50 条
12345