Advanced search ?

Object

Download

Title: On generalized inverses of singular matrix pencils

Creator:

Röbenack, Klaus ; Reinschke, Kurt

Date:

2011

Resource Type:

artykuł

Contributor:

Korbicz, Józef - 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:

Sep 7, 2021

In our library since:

Aug 20, 2018

Number of object content hits:

116

All available object's versions:

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

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
On generalized inverses of singular matrix pencils Sep 7, 2021

Objects

Similar
AMCS, Volume 23 (2013)
AMCS, Volume 23 (2013)

Application of the partitioning method to specific Toeplitz matrices

Stanimirović, Predrag Miladinović, Marko Stojanović, Igor Miljković, Sladjana Korbicz, Józef - red. Uciński, Dariusz - red.

2013
artykuł
AMCS, Volume 23 (2013)
AMCS, Volume 23 (2013)

Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils

Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.

2013
artykuł
AMCS, Volume 25 (2015)
AMCS, Volume 25 (2015)

Analysis of the descriptor Roesser model with the use of the Drazin inverse

Kaczorek, Tadeusz (1932- ) Byrski, Aleksander - ed. Kisiel-Dorohinicki, Marek - ed. Dobrowolski, Grzegorz - ed.

artykuł
AMCS, Volume 16 (2006)
AMCS, Volume 16 (2006)

An equivalent matrix pencil for bivariate polynomial matrices

Boudellioua, Mohamed Salah Korbicz, Józef - red. Uciński, Dariusz - red.

2006
artykuł
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

On network models and the symbolic solution of network equations

Reinschke, Kurt Fliess, Michel - ed. Jai, Abdelhaq El - ed.

2001
artykuł
AMCS, Volume 16 (2006)
AMCS, Volume 16 (2006)

Observer design using a partial nonlinear observer canonical form

Röbenack, Klaus Lynch, Alan F. Korbicz, Józef - red. Uciński, Dariusz - red.

2006
artykuł
CEER, nr 7 (2011)
CEER, nr 7 (2011)

On solving selected problems of linear algebra by means of neural networks = Zagadnienie rozwiązywania wybranych zadań algebry liniowej za pomocą sieci neuronowych

Mrówczyńska, Maria Kuczma, Mieczysław - red.

2011
artykuł
AMCS, Volume 22 (2012)
AMCS, Volume 22 (2012)

Modeling nonlinear road traffic networks for junction control

Péter, Tamás Korbicz, Józef - red. Uciński, Dariusz - red.

2012
artykuł
More

Contact details

Address

University Library
al. Wojska Polskiego 71
65-762 Zielona Góra

Phone

(+48) 68 328 21 55

E-Mail

kontakt@zbc.uz.zgora.pl

Cyprian Norwid Voivodeship and
City Public Library
al. Wojska Polskiego 9
65-077 Zielona Góra

(+48) 68 453 26 06

p.karp@biblioteka.zgora.pl

This page uses 'cookies'. More information