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Nonnegative and eventually positive matrices

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Abstract We characterize those eventually positive matrices A such that the sum of A and every nonnegative matrix remains eventually positive. For n ≥ 3 , we show that for… Click to show full abstract

Abstract We characterize those eventually positive matrices A such that the sum of A and every nonnegative matrix remains eventually positive. For n ≥ 3 , we show that for every eventually positive matrix A ∈ M n ( R ) , there exists an eventually positive matrix B such that A + B is not eventually positive.

Keywords: eventually positive; positive matrices; nonnegative eventually

Journal Title: Linear Algebra and its Applications
Year Published: 2017

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