摘要

One consequence of the Perron-Frobenius Theorem on indecomposable positive matrices is that whenever an matrix A dominates a non-singular positive matrix, there is an integer k dividing n such that, after a permutation of basis, A is block-monomial with blocks. Furthermore, for suitably large exponents, the nonzero blocks of are strictly positive. We present an extension of this result for indecomposable semigroups of positive matrices.

  • 出版日期2017-3

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