The aim of this paper is to analyze the asymptotic behavior of the eigenvalues and eigenvectors of particular sequences of products involving two square real matrices A and B, namely of the form B^kA, as k>=1. This analysis represents a detailed deepening of a particular case within a general theory on finite families F = {A_1; ... ;A_m} of real square matrices already available in the literature. The Bachmann-Landau symbols and related results are largely used and are presented in a systematic way in the final Appendix.

Spectral properties of certain sequences of products of two real matrices

Brundu, Michela
;
Zennaro, Marino
2022

Abstract

The aim of this paper is to analyze the asymptotic behavior of the eigenvalues and eigenvectors of particular sequences of products involving two square real matrices A and B, namely of the form B^kA, as k>=1. This analysis represents a detailed deepening of a particular case within a general theory on finite families F = {A_1; ... ;A_m} of real square matrices already available in the literature. The Bachmann-Landau symbols and related results are largely used and are presented in a systematic way in the final Appendix.
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https://journals.uwyo.edu/index.php/ela/article/view/6651
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3029208
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