SPECTRAL PROPERTIES OF CERTAIN SEQUENCES OF PRODUCTS OF TWO REAL MATRICES

被引：0

作者：

Brundu, Michela ^{[1
]}

Zennaro, Marino ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, I-34100 Trieste, Italy

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2022年 / 38卷

关键词：

Eigenvalue; Eigenvector; Elementary symmetric function; Matrix power sequence; Asymptotic behavior; Bachmann-Landau symbol; MULTICONES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-k A, as k -> infinity. 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.

引用

页码：377 / 403

页数：27

共 9 条

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