实物型投入产出模型直接消耗系数矩阵的研究

Study on the Direct Consumption Coefficients Matrix of Material-Type Input-Output Model

针对实物型Leontief投入产出模型,提出一个新的关于直接消耗系数矩阵具有生产能力的充要条件,即直接消耗系数矩阵的谱半径小于1,该方法更为直接简单.进一步应用矩阵论中关于谱半径的估计,得到一些关于直接消耗系数矩阵具有生产能力的充分条件.

For the material-type Leontief input-output model, a new sufficient and necessary condition for the direct consumption coefficients matrix to be productive is proposed, i.e. the spectrum radius of the direct consumption coefficients matrix is less than 1. Furthermore, by some estimates sufficient conditions are obtained for the productive. of spectrum radius in matrix theory, some direct consumption coefficients matrix to be