| Title: | On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra |
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| Authors: | ID Müller, Vladimir (Author)
ID Peperko, Aljoša (Author) |
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| Files: |  PDF - Presentation file, download (1,77 MB)
MD5: 8FC445A12D194188F8C4E193BBC9588F
 URL - Source URL, visit https://www.tandfonline.com/doi/full/10.1080/03081087.2023.2188155
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| 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 $n \times n$ matrices. Some continuity results are also established. |
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| Keywords: | non-negative matrices, infinite bounded matrices, max algebra, Bonsall’s cone spectral radius, eigenvalues, continuity |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1535-1554 |
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| Numbering: | Vol. 72, iss. 9 |
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| PID: | 20.500.12556/DiRROS-19013  |
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| UDC: | 512.643 |
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| ISSN on article: | 0308-1087 |
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| DOI: | 10.1080/03081087.2023.2188155 |
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| COBISS.SI-ID: | 145331459 |
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| Note: |
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| Publication date in DiRROS: | 30.05.2024 |
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| Views: | 482 |
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| Downloads: | 322 |
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