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Structure preserving condensed forms for pairs of Hermitian matrices and matrix valued functions
Wunderlich, Lena
Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
The study of matrix pairs or pairs of matrix valued functions is often motivated by applications from linear differential-algebraic equations. In many applications from mechanics or control theory the underlying matrices are symmetric or Hermitian. We study structure preserving condensed forms for pairs of Hermitian matrices and pairs of Hermitian matrix functions. Further, we show how we can derive a structure preserving equivalent strangeness-free system from differential-algebraic equations using the derivative array approach.
