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- W4300783337 abstract "This paper studies commuting matrices in max algebra and nonnegative linear algebra. Our starting point is the existence of a common eigenvector, which directly leads to max analogues of some classical results for complex matrices. We also investigate Frobenius normal forms of commuting matrices, particularly when the Perron roots of the components are distinct. For the case of max algebra, we show how the intersection of eigencones of commuting matrices can be described, and we consider connections with Boolean algebra which enables us to prove that two commuting irreducible matrices in max algebra have a common eigennode." @default.
- W4300783337 created "2022-10-04" @default.
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- W4300783337 date "2010-05-09" @default.
- W4300783337 modified "2023-09-28" @default.
- W4300783337 title "On commuting matrices in max algebra and in classical nonnegative algebra" @default.
- W4300783337 doi "https://doi.org/10.48550/arxiv.1005.1424" @default.
- W4300783337 hasPublicationYear "2010" @default.
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