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On the Number of Positive Entries in the Powers of a Non-Negative Matrix
Published online by Cambridge University Press: 20 November 2018
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A real matrix A is said to be non-negative if and only if none of its entries is negative. Suppose A is an r by r non-negative matrix. We want to examine:
(A) The first power of A to maximize the number of positive entries in An,
(B) For each 1 ≤ i ≤ r the first power of A to maximize the number of positive entries in the i-th row of An.
We shall call the former first power the index of A and the latter the i-th row index of A (index (i, A)).
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- Copyright © Canadian Mathematical Society 1964
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