Constant-coefficient differential-algebraic operators and the Kronecker form

Marc Puche; Timo Reis; Felix L. Schwenninger

doi:10.1016/j.laa.2018.04.005

Constant-coefficient differential-algebraic operators and the Kronecker form

Marc Puche, Timo Reis^*, Felix L. Schwenninger

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	29-41
Number of pages	13
Journal	Linear algebra and its applications
Volume	552
Early online date	12 Apr 2018
DOIs	https://doi.org/10.1016/j.laa.2018.04.005
Publication status	Published - 1 Sept 2018
Externally published	Yes

Keywords

Differential operator
Differential-algebraic equation
Kronecker form
Matrix pencil

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10.1016/j.laa.2018.04.005

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title = "Constant-coefficient differential-algebraic operators and the Kronecker form",

abstract = "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.",

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AU - Puche, Marc

AU - Reis, Timo

AU - Schwenninger, Felix L.

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Y1 - 2018/9/1

N2 - 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.

AB - 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.

KW - Differential operator

KW - Differential-algebraic equation

KW - Kronecker form

KW - Matrix pencil

U2 - 10.1016/j.laa.2018.04.005

DO - 10.1016/j.laa.2018.04.005

M3 - Article

AN - SCOPUS:85045381262

SN - 0024-3795

VL - 552

SP - 29

EP - 41

JO - Linear algebra and its applications

JF - Linear algebra and its applications

ER -

Constant-coefficient differential-algebraic operators and the Kronecker form

Abstract

Keywords

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