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

Müller, Vladimir (author), Peperko, Aljoša (author)

Several spectral radii formulas for infinite bounded non-negative 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 $n \times n$ matrices. Some continuity results are also established.

• Language: English
• Keywords: non-negative matrices, infinite bounded matrices, max algebra, Bonsall’s cone spectral radius, eigenvalues, continuity
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 1535-1554
• Numbering: Vol. 72, no. 9
• PID: 20.500.12556/RUL-158279
• UDC: 512.643
• ISSN on article: 0308-1087
• DOI: 10.1080/03081087.2023.2188155
• COBISS.SI-ID: 145331459
• Publication date in RUL: 05.06.2024

Record is a part of a journal

• Title: Linear and multilinear algebra
• Shortened title: Linear multilinear algebra
• Publisher: Taylor & Francis, International Linear Algebra Society
• ISSN: 0308-1087
• COBISS.SI-ID: 25872128

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: nenegativne matrike, neskončne omejene matrike, max-algebra, Bonsallov spektralni radij na stožcih, lastne vrednosti, zveznost