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On some aspects of spectral theory for infinite bounded non-negative matrices in max algebraVladimir Müller,
Aljoša Peperko, 2024, izvirni znanstveni članek
Povzetek: 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.
Ključne besede: non-negative matrices, infinite bounded matrices, max algebra, Bonsall’s cone spectral radius, eigenvalues, continuity
Objavljeno v DiRROS: 30.05.2024; Ogledov: 114; Prenosov: 110
Celotno besedilo (1,77 MB)
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