不可约非负矩阵指标集的分类理论

Classification for the Index Set of Irreducible Matrices

本文讨论了不可约非负矩阵指标集的分类理论，按照分类理论给出了不可约非负矩阵Ｆｒｏｂｅｎｉｕｓ标准型的一个构造性证明。证明只用到了指标集的分类理论，而没有应用矩阵的谱性质。

e study the classification for the index set of irreducible nonnegative matrices, According tothe classification theory for the index set,a constructive proof is given for the Frobenius canonicalforms. In our proof, none of the spectral properties the classification theory of index set isused.