On real algebras generated by positive and nonnegative matrices

被引：1

作者：

Kolegov, N. A. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2021年 / 611卷

关键词：

Real matrix algebras; Nonnegative matrices; Positive matrices; Semi-commuting matrices; THEOREM;

D O I：

10.1016/j.laa.2020.11.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Algebras generated by strictly positive matrices are described up to similarity, including the commutative, simple, and semisimple cases. We provide sufficient conditions for some block diagonal matrix algebras to be generated by a set of nonnegative matrices up to similarity. Also we find all realizable dimensions of algebras generated by two non-negative semi-commuting matrices. The last result provides the solution to the problem posed by M. Kandic, K. Sivic (2017) [13]. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：46 / 65

页数：20

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