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Chinese Journal of Management Science ›› 2010, Vol. 18 ›› Issue (1): 33-38.

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

XU Da-ju, YIN Jin-sheng, LI Ai-qing, LIU Ji-xiao, ZHOU Ling-li   

  1. Department of Mathematics and Physics, ShanDong JiaoTong University, Jinan 250023, China
  • Received:2009-08-10 Revised:2010-01-08 Online:2010-02-28 Published:2010-02-28

Abstract: 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.

Key words: Input-Output Analysis, direct consumption coefficient matrix, biggest eigenvalue, gross input coefficient

CLC Number: