Error analysis of the complex Kronecker canonical form

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

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-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 languageEnglish
Title of host publicationUKSim2010 - UKSim 12th International Conference on Computer Modelling and Simulation
Pages462-467
Number of pages6
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventUKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010 - Cambridge, United Kingdom
Duration: 24 Mar 201026 Mar 2010
Conference number: 12th

Conference

ConferenceUKSim-AMSS International Conference on Computer Modelling and Simulation (UKSim) 2010
Abbreviated titleUKSim 2010
CountryUnited Kingdom
CityCambridge
Period24/03/1026/03/10

Keywords

  • Complex Kronecker canonical form matrix pencil theory
  • Error analysis
  • Floating point

Cite this