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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.
Keywords: non-negative matrices, infinite bounded matrices, max algebra, Bonsall’s cone spectral radius, eigenvalues, continuity
Published in DiRROS: 30.05.2024; Views: 40; Downloads: 38
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Abstract: V članku je opisana metoda primerjanja sestojev glede na pojavnost rastlinskih vrst. V nasprotju z metodami, ki so ali so bile že v uporabi, je naše primerjanje čisto evklidsko: sestoji so enakovredni vektorji v mnogorazsežnem evklidskem prostoru (bazne smeri so rastline) in primerjave med njimi se izražajo z njihovimi skalarnimi produkti. Glede na rastlinske vrste in njihove medsebojne odvisnosti imamo sestoje za slučajne vzorce, kar nam omogoča dobiti cenilke za kote med baznimi smermi in s tem tudi za skalarne produkte.
Keywords: matematika, algebra, gozdarstvo, fitocenologija, ordinacijska metoda, primerjanje sestojev, evklidska metrika
Published in DiRROS: 12.07.2017; Views: 4558; Downloads: 1798
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