Pseudospectrum and condition pseudospectrum of non-archimedean matrices

Abdelkhalek El Amrani\(^a\), Jawad Ettayb\(^{a,*}\), Aziz Blali\(^b\)

\(^a\)Department of Mathematics and Computer Science, Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, Fez, Morocco.

\(^b\)Department of Mathematics, Sidi Mohamed Ben Abdellah University, ENS, B. P. 5206 Bensouda, Fez, Morocco.

Correspondence should be addressed to: abdelkhalek.elamrani@usmba.ac.ma

Copyright © 2022 Abdelkhalek El Amrani, Jawad Ettayb, Aziz Blali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: : 22 June 2022; Accepted: 09 July 2022; Published Online: 26 July 2022.

Abstract

In this paper, we introduce and study the notions of pseudospectrum, condition pseudospectrum of non-archimedean matrices and pseudospectrum of non-archimedean matrix pencil. Many results are proved and we give some examples.

Keywords:

Non-archimedean matrices, pseudospectrum, matrix pencil, spectrum.