On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra

被引：1

作者：

Mueller, Vladimir ^{[1
]}

Peperko, Aljosa ^{[2
,3
,4
,5
]}

机构：

[1] Czech Acad Sci, Inst Math, Prague, Czech Republic

[2] Univ Ljubljana, Fac Mech Engn, Ljubljana, Slovenia

[3] Inst Math Phys & Mech, Ljubljana, Slovenia

[4] Univ Ljubljana, Fac Mech Engn, Askerceva 6, SI-1000 Ljubljana, Slovenia

[5] Inst Math Phys & Mech, Jadranska 19, SI-1000 Ljubljana, Slovenia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 09期

关键词：

Non-negative matrices; infinite bounded matrices; max algebra; Bonsall's cone spectral radius; eigenvalues; continuity; RADIUS; EIGENVALUES; INEQUALITIES; CONTINUITY; VERSION;

D O I：

10.1080/03081087.2023.2188155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several spectral radii formulas for infinite bounded non-negative matrices in max algebra are obtained. We also prove some Per-ron-Frobenius type results for such matrices. In particular, we obtain results on block triangular forms, which are similar to results on Frobenius normal form of n x n matrices. Some continuity results are also established.

引用

页码：1535 / 1554

页数：20

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