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.

中文翻译：

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关于最大代数中无限有界非负矩阵谱理论的某些方面

得到了最大代数中无限有界非负矩阵的几个谱半径公式。我们还证明了此类矩阵的一些 Perron–Frobenius 类型结果。特别是，我们获得了块三角形形式的结果，这与 Frobenius 范式的结果相似$n\times n$矩阵。还建立了一些连续性结果。