Pseudo-spectrum of non-Archimedean matrix pencils

Authors

  • Jawad Ettayb Sidi Mohamed Ben Abdellah University, Morocco

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.1.5

Keywords:

Non-Archimedean matrix pencil, determinant, trace, spectrum

Abstract

In this paper, we define the notions of the C-trace pseudo-spectrum, the M-determinant pseudo-spectrum and the pseudo-spectrum of non-Archimedean matrix pencils. Many results are proved about the C-trace pseudo-spectrum, the M-determinant pseudo-spectrum and the pseudo-spectrum of non-Archimedean matrix pencils. Examples are given to support our work.

Author Biography

Jawad Ettayb, Sidi Mohamed Ben Abdellah University, Morocco

Department of mathematics and computer science, Faculty of Sciences Dhar El Mahraz, Fes

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Published

2024-05-15

Issue

Section

MATHEMATICS