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

2022/01/06 by Müller, Vladimir, Aljoša Peperko, Peperko, Aljoša
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2201.02123

openalex publication_date 2022/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Several spectral radii formulas for infinite bounded nonnegative matrices in max algebra are obtained. We also prove some Perron-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 × n matrices. Some continuity results are also established.

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