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Title: On generalized inverses of singular matrix pencils

Creator:

Röbenack, Klaus ; Reinschke, Kurt

Date:

2011

Resource Type:

artykuł

Contributor:

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

Group publication title:

AMCS, Volume 21 (2011)

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

Resource Identifier:

oai:zbc.uz.zgora.pl:46906

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

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

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

Object collections:

Last modified:

Nov 5, 2024

In our library since:

Aug 20, 2018

Number of object content hits:

128

All available object's versions:

https://zbc.uz.zgora.pl/publication/55004

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On generalized inverses of singular matrix pencils Nov 5, 2024

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