Generalisation of the Perron-Frobenius theory to matrix pencils
Please always quote using this URN:urn:nbn:de:0296-matheon-3741
- We present a new extension of the well-known Perron-Frobenius theorem to regular matrix pairs $(E,A)$. The new extension is based on projector chains and is motivated from the solution of positive differential-algebraic systems or descriptor systems. We present several examples where the new condition holds, whereas conditions in previous literature are not satisfied.
Author: | Volker Mehrmann, Reinhard Nabben, Elena Virnik |
---|---|
URN: | urn:nbn:de:0296-matheon-3741 |
Referee: | Peter Deuflhard |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2007/01/24 |
Release Date: | 2007/01/24 |
Tag: | |
Institute: | Technische Universität Berlin |
MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A18 Eigenvalues, singular values, and eigenvectors |
15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A22 Matrix pencils [See also 47A56] | |
Preprint Number: | 369 |