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Research Article | Open Access

Computing a canonical form of a matrix pencil

Miloud Sadkane1( ), Roger Sidje2
Univ Brest, CNRS - UMR 6205, LMBA, 6, Avenue Le Gorgeu. 29238 Brest Cedex 3, France
The University of Alabama, Department of Mathematics, P.O. Box 870350, Tuscaloosa, AL 35487, USA
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Abstract

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.

Keywords

canonical formmatrix pencilspectral projection
CLC number: 15A21, 15A22, 65F15

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 10882-10892
DOI: 10.3934/math.2024531

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Cite this article:
Sadkane M, Sidje R. Computing a canonical form of a matrix pencil. AIMS Mathematics, 2024, 9(5): 10882-10892. https://doi.org/10.3934/math.2024531

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Received: 27 December 2023
Revised: 09 March 2024
Accepted: 13 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)