Creator:

Röbenack, Klaus ; Reinschke, Kurt

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

On generalized inverses of singular matrix pencils

Group publication title:

AMCS, Volume 21 (2011)

Subject and Keywords:

matrix pencils ; Kronecker indices ; Moore?Penrose inverse ; Drazin inverse ; linear networks

Abstract:

Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix pencil and the multiplicity of poles at zero of the Moore?Penrose inverse and the Drazin inverse of the rational matrix are investigated. We present example networks whose circuit equations yield singular matrix pencils.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2011

Resource Type:

artykuł

DOI:

10.2478/v10006-011-0012-3

Pages:

161-172

Source:

AMCS, Volume 21, Number 1 (2011) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego