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In this paper we are concerned with a non-negative integer and irreducible matrix . The main contribution is to prove that if the matrix satisfies certain spectral and algebraic constraints, the cone:is defined by linear maps , in the sense that v ∈ C is equivalent to, ϕl(v) ⩾ 0 for all l = 0, … , k − 1 (where k is the index of cyclicity of the irreducible matrix). This result allows us to characterize the dimension group generated by the matrix, it is a subgroup of endowed with an order induced by the positive cone of . 相似文献
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《Linear algebra and its applications》2006,412(2-3):161-221
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