Eventual properties of matrices

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2012-12-01
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Wilson, Ulrica
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Hogben, Leslie
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Mathematics
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An eventual property of a matrix M is an element of C-nxn is a property that holds for all powers M-k, k >= k(0), for some positive integer k(0). Eventually positive and eventually nonnegative matrices have been studied extensively, and some results are known for eventually r-cyclic matrices. This paper introduces and establishs properties of eventually reducible matrices, establishs properties of the eigenstructure of eventually r-cyclic matrices, and answers affirmatively a question of Zaslavsky and Tam about eventually nonnegative matrices.

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This article published as Hogben, Leslie, and Ulrica Wilson. "Eventual properties of matrices." The Electronic Journal of Linear Algebra 23 (2012): 953-965. DOI: 10.13001/1081-3810.1568. Posted with permission.

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Sun Jan 01 00:00:00 UTC 2012
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