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Title:On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
Authors:ID Müller, Vladimir (Author)
ID Peperko, Aljoša (Author)
Files:.pdf PDF - Presentation file, download (1,77 MB)
MD5: 8FC445A12D194188F8C4E193BBC9588F
 
URL URL - Source URL, visit https://www.tandfonline.com/doi/full/10.1080/03081087.2023.2188155
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract: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×n matrices. Some continuity results are also established.
Keywords:non-negative matrices, infinite bounded matrices, max algebra, Bonsall’s cone spectral radius, eigenvalues, continuity
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:str. 1535-1554
Numbering:Vol. 72, iss. 9
PID:20.500.12556/DiRROS-19013 New window
UDC:512.643
ISSN on article:0308-1087
DOI:10.1080/03081087.2023.2188155 New window
COBISS.SI-ID:145331459 New window
Note:
Publication date in DiRROS:30.05.2024
Views:792
Downloads:405
Metadata:XML DC-XML DC-RDF
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MÜLLER, Vladimir and PEPERKO, Aljoša, 2024, On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra. Linear and Multilinear Algebra [online]. 2024. Vol. 72, no. 9, p. 1535–1554. [Accessed 7 April 2025]. DOI 10.1080/03081087.2023.2188155. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=19013
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Record is a part of a journal

Title:Linear and Multilinear Algebra
Shortened title:Linear multilinear algebra
Publisher:Taylor & Francis
ISSN:0308-1087
COBISS.SI-ID:25872128 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0222
Name:Algebra, teorija operatorjev in finančna matematika
Funder:ARRS - Slovenian Research Agency
Project number:J1-8133
Name:Preslikave na matrikah in operatorjih
Funder:ARRS - Slovenian Research Agency
Project number:J2-2512
Name:Stohastični modeli za logistiko proizvodnih procesov
Funder:ARRS - Slovenian Research Agency
Project number:J1-8155
Name:ZLIVANJE BIOMEDICINSKIH PODATKOV Z UPORABO NENEGATIVNE MATRIČNETRI-FAKTORIZACIJE
Funder:Other - Other funder or multiple funders
Funding programme:Czech Science Foundation
Project number:20-22230L
Name:Banach spaces of continuous and Lipschitz functions
Funder:Other - Other funder or multiple funders
Project number:RVO:67985840

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


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