Pseudo-spectrum of non-Archimedean matrix pencils

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.