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.
               
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