Matrices whose powers are eventually triangular

被引：0

作者：

Ma, Chao ^{[1
,2
]}

Ren, Yali ^{[2
]}

Li, Zheng ^{[3
]}

Zhong, Jin ^{[4
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[2] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Shanghai 200240, Peoples R China

[4] Jiangxi Univ Sci & Technol, Fac Sci, Ganzhou 341000, Peoples R China

来源：

FILOMAT | 2023年 / 37卷 / 26期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Matrix power; Triangular matrix; Jordan canonical form; Nonnegative matrix; Nilpotent matrix; NONNEGATIVE MATRICES; JORDAN FORM; REACHABILITY; ROOTS;

D O I：

10.2298/FIL2326867M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Square matrices whose powers eventually have some special properties are of both theoretical significance and application value. This paper investigates those complex matrices whose powers are eventually triangular. We completely characterize the eventually triangular complex matrices of order not greater than 4, and extend the results to the nonnegative case. Eventually triangular matrices of order n are also discussed.

引用

页码：8867 / 8885

页数：19

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