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 journalArticleAcademicpeer-review


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 languageEnglish
Pages (from-to)29-41
Number of pages13
JournalLinear algebra and its applications
Early online date12 Apr 2018
Publication statusPublished - 1 Sep 2018
Externally publishedYes


  • Differential operator
  • Differential-algebraic equation
  • Kronecker form
  • Matrix pencil


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