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Main Title: Structure preserving condensed forms for pairs of Hermitian matrices and matrix valued functions
Author(s): Wunderlich, Lena
Type: Research Paper
Abstract: 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.
Subject(s): Hermitian matrix pairs
pairs of Hermitian matrix valued functions
condensed forms
differential-algebraic systems
strangeness-free formulation
Issue Date: 16-Feb-2006
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A22 Matrix pencils
15A57 Other types of matrices
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2006, 04
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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