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

preprint2022arXivOpen access

Abstract

Several spectral radii formulas for infinite bounded nonnegative 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×nn \times n matrices. Some continuity results are also established.

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