Computing a canonical form of a matrix pencil

Computing a canonical form of a matrix pencil

Using the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well a...

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Veröffentlicht in:AIMS Mathematics 2024-01, Vol.9 (5), p.10882-10892
Hauptverfasser: Sadkane, Miloud, Sidje, Roger
Format: Artikel
Sprache:eng
Schlagworte:
canonical form
matrix pencil
spectral projection
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Beschreibung
Zusammenfassung:Using the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well as examples to illustrate its numerical and theoretical merits.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024531