Error analysis of the complex Kronecker canonical form

Athanasios A. Pantelous; Athanasios D. Karageorgos; Grigoris I. Kalogeropoulos

doi:10.1109/UKSIM.2010.91

Error analysis of the complex Kronecker canonical form

Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

In some interesting applications in control and system theory, i.e. in engineering, in ecology (Leslie population model), in financial/actuarial (Leontief multi input - multi output) science, linear descriptor (singular) differential/difference equations with time-invariant coefficients and (non-) consistent initial conditions have been extensively used. The solution properties of those systems are based on the Kronecker canonical form, which is an important component of the Matrix Pencil Theory. In this paper, we present some preliminary results for the error analysis of the complex Kronecker canonical form based on the Euclidean norm. Finally, under some weak assumptions an interesting new necessary condition is also derived.

Original language	English
Title of host publication	UKSim2010 - UKSim 12th International Conference on Computer Modelling and Simulation
Pages	462-467
Number of pages	6
DOIs	https://doi.org/10.1109/UKSIM.2010.91
Publication status	Published - 2010
Externally published	Yes
Event	UKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010 - Cambridge, United Kingdom Duration: 24 Mar 2010 → 26 Mar 2010 Conference number: 12th

Conference

Conference	UKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010
Abbreviated title	UKSim 2010
Country/Territory	United Kingdom
City	Cambridge
Period	24/03/10 → 26/03/10

Keywords

Complex Kronecker canonical form matrix pencil theory
Error analysis
Floating point

Access to Document

10.1109/UKSIM.2010.91

Cite this

@inproceedings{5bb6162bd4504dc3bc3a947c91e7052d,

title = "Error analysis of the complex Kronecker canonical form",

abstract = "In some interesting applications in control and system theory, i.e. in engineering, in ecology (Leslie population model), in financial/actuarial (Leontief multi input - multi output) science, linear descriptor (singular) differential/difference equations with time-invariant coefficients and (non-) consistent initial conditions have been extensively used. The solution properties of those systems are based on the Kronecker canonical form, which is an important component of the Matrix Pencil Theory. In this paper, we present some preliminary results for the error analysis of the complex Kronecker canonical form based on the Euclidean norm. Finally, under some weak assumptions an interesting new necessary condition is also derived.",

keywords = "Complex Kronecker canonical form matrix pencil theory, Error analysis, Floating point",

author = "Pantelous, {Athanasios A.} and Karageorgos, {Athanasios D.} and Kalogeropoulos, {Grigoris I.}",

year = "2010",

doi = "10.1109/UKSIM.2010.91",

language = "English",

isbn = "9780769540160",

pages = "462--467",

booktitle = "UKSim2010 - UKSim 12th International Conference on Computer Modelling and Simulation",

note = "UKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010, UKSim 2010 ; Conference date: 24-03-2010 Through 26-03-2010",

}

Pantelous, AA, Karageorgos, AD & Kalogeropoulos, GI 2010, Error analysis of the complex Kronecker canonical form. in UKSim2010 - UKSim 12th International Conference on Computer Modelling and Simulation., 5480451, pp. 462-467, UKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010, Cambridge, United Kingdom, 24/03/10. https://doi.org/10.1109/UKSIM.2010.91

TY - GEN

T1 - Error analysis of the complex Kronecker canonical form

AU - Pantelous, Athanasios A.

AU - Karageorgos, Athanasios D.

AU - Kalogeropoulos, Grigoris I.

N1 - Conference code: 12th

PY - 2010

Y1 - 2010

N2 - In some interesting applications in control and system theory, i.e. in engineering, in ecology (Leslie population model), in financial/actuarial (Leontief multi input - multi output) science, linear descriptor (singular) differential/difference equations with time-invariant coefficients and (non-) consistent initial conditions have been extensively used. The solution properties of those systems are based on the Kronecker canonical form, which is an important component of the Matrix Pencil Theory. In this paper, we present some preliminary results for the error analysis of the complex Kronecker canonical form based on the Euclidean norm. Finally, under some weak assumptions an interesting new necessary condition is also derived.

AB - In some interesting applications in control and system theory, i.e. in engineering, in ecology (Leslie population model), in financial/actuarial (Leontief multi input - multi output) science, linear descriptor (singular) differential/difference equations with time-invariant coefficients and (non-) consistent initial conditions have been extensively used. The solution properties of those systems are based on the Kronecker canonical form, which is an important component of the Matrix Pencil Theory. In this paper, we present some preliminary results for the error analysis of the complex Kronecker canonical form based on the Euclidean norm. Finally, under some weak assumptions an interesting new necessary condition is also derived.

KW - Complex Kronecker canonical form matrix pencil theory

KW - Error analysis

KW - Floating point

UR - http://www.scopus.com/inward/record.url?scp=77954532073&partnerID=8YFLogxK

U2 - 10.1109/UKSIM.2010.91

DO - 10.1109/UKSIM.2010.91

M3 - Conference Paper

AN - SCOPUS:77954532073

SN - 9780769540160

SP - 462

EP - 467

BT - UKSim2010 - UKSim 12th International Conference on Computer Modelling and Simulation

T2 - UKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010

Y2 - 24 March 2010 through 26 March 2010

ER -

Error analysis of the complex Kronecker canonical form

Abstract

Conference

Keywords

Access to Document

Other files and links

Cite this