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

页码：29 / 41

页数：13

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