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- W2982051227 abstract "This paper presents a light introduction to Perron-Frobenius theory in max algebra and in nonnegative linear algebra, and a survey of results on two cores of a nonnegative matrix. The (usual) core of a nonnegative matrix is defined as ∩ k≥1 span+ (A k ) , that is, intersection of the nonnegative column spans of matrix powers. This object is of importance in the (usual) Perron-Frobenius theory, and it has some applications in ergodic theory. We develop the direct max-algebraic analogue and follow the similarities and differences of both theories." @default.
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- W2982051227 date "2019-01-01" @default.
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- W2982051227 title "Core of a matrix in max algebra and in nonnegative algebra: A survey" @default.
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- W2982051227 doi "https://doi.org/10.20310/2686-9667-2019-24-127-252-271" @default.
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