Pseudo-spectrum of non-Archimedean matrix pencils
DOI:
https://doi.org/10.31926/but.mif.2024.4.66.1.5Keywords:
Non-Archimedean matrix pencil, determinant, trace, spectrumAbstract
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.