直接消耗系数矩阵特征值的经济意义研究

基于Leontief提出的投入产出分析和华罗庚的正特征向量法,对直接消耗系数矩阵的特征值进行研究。根据中国多年的实际消耗系数数据计算,得出矩阵特征值具有很好的规律性。根据推广的有消费的华氏开放模型,矩阵特征值的经济含义是它表示一个界限,总投入系数必须大于矩阵的最大正特征值,是保证国民经济总产出不断增长的条件之一。中国的国民经济从1987年开始,到2007年,总产出不断增加的原因之一是因为总投入系数不断增大。

Research on Economic Meaning of Eigenvalue of the Direct Consumption Coefficient Matrix

Based on Input-Output Analysis put forward by Leontief,and Positive Eigenvector Method put forward by Hua Luogeng,it has been researched on the eigenvalues of the direct consumption coefficient matrix.According to the real data on consumption coefficient of China,the eigenvalues of the matrices have two regular characteristics.By open Hua's model added consumption,the economic meaning of biggest eigenvalue is that,it is a boundary which the gross input coefficient must be bigger than it,in order to make sure economy growth year after year.From the year 1987 to 2007,one reason for the Chinese economy growth is the increase of the gross input coefficient gradually.