通过非负矩阵的谱理论及矩阵分块的技巧研究非负不可约矩阵的性质.讨论了非负不可约矩阵的代数性质及其同步合同结构,获得了关于非负不可约矩阵成立的充要条件及同步标准形的结果,进一步洞察了非负不可约矩阵的结构.
Some properties on irreducible nonnegative matrices are characterized by using spectrum theo‐ry of nonnegative matrices and block matrix method .Firstly ,several propositions of the algebraic prop‐erties on nonnegative irreducible matrices are further explored .Secondly ,the sufficient and necessary condition of nonnegative irreducible matrices are obtained .Lastly ,the cogredient standard form is estab‐lished ,and the cogredient structure of the nonnegative irreducible matrices will further provid insight in‐to irreducible nonnegative matrices .