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Computing Generalized Inverse Systems using Matrix Pencil Methods

Varga, Andras (2001) Computing Generalized Inverse Systems using Matrix Pencil Methods. International Journal of Applied Mathematics and Computer Science, 11 (5), pp. 1055-1068.

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Abstract

We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil to appropriate Kronecker-like forms.

Document Type:Article
Additional Information:LIDO-Berichtsjahr=2001,
Title:Computing Generalized Inverse Systems using Matrix Pencil Methods
Authors:
AuthorsInstitution or Email of Authors
Varga, AndrasUNSPECIFIED
Date:June 2001
Journal or Publication Title:International Journal of Applied Mathematics and Computer Science
Volume:11
Page Range:pp. 1055-1068
Status:Published
Keywords:system inversion, rational matrices, descriptor systems, numerical methods
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignement
DLR - Research theme (Project):L -- no assignement
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:15 Mar 2006
Last Modified:12 Dec 2013 20:01

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