Structure preserving condensed forms for pairs of Hermitian matrices and matrix valued functions

Author(s) : Lena Wunderlich

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 4-2006

MSC 2000

15A22 Matrix pencils

15A57 Other types of matrices

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.

Keywords : Hermitian matrix pairs, pairs of Hermitian matrix valued functions, condensed forms, differential-algebraic systems, strangeness-free formulation