Journal of Prime Research in Mathematics

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

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.