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
收藏
页码：1535 / 1554
页数：20
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