@article{Sadkane2024, 
author = {Miloud Sadkane and Roger Sidje},
title = {Computing a canonical form of a matrix pencil},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {10882-10892},
keywords = {canonical form, matrix pencil, spectral projection},
url = {https://www.sciopen.com/article/10.3934/math.2024531},
doi = {10.3934/math.2024531},
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.}
}