CK引力模型的研究及实证分析--基于Moore-Penrose广义逆测算  

Research and Empirical Analysis on CK Gravity Model:Based on Moore-Penrose Generalized Inverse Calculation

作　　者：成蓉华 孟彦菊[1] 王彬 CHENG Rong-hua;Meng Yan-ju;WANG Bin(Yunnan University of Finance and Economics,Kunming 650221,China)

机构地区：[1]云南财经大学,云南昆明650221

出　　处：《物流工程与管理》2020年第12期144-146,共3页Logistics Engineering and Management

基　　金：云南财经大学校级科研项目(YC2013A01);云南省教育厅科研项目。

摘　　要：文中通过建立地区间CK引力模型,利用最小二乘法确定参数cis和kit。在理论上验证关于未知量cis和kit的线性方程组的解不唯一,并通过Moore-Penrose广义逆求极小范数解,给出求Moore-Penrose广义逆的方法,最后以珠江流域四省市投入产出表为例进行实证分析,结果有效,且计算简便快捷,从而验证该方法切实可行。This essay uses least squares to get parameters cis and kit by establishing regional CK gravity model. It proves that the result of linear equation group,which is about unknown quantity cis and kit,is nonunique theoretically and gives the solution to Moore-Penrose generalized inverse by its minimal norm solution. Finally,It does positive analysis on the input-output table of four provinces in the Pearl River Basin,the result is valid and the calculation is simple which prove the solution is practical.

关 键 词：CK引力模型 MOORE-PENROSE广义逆 极小范数解 区域间投入产出表 

分 类 号：O314[理学—一般力学与力学基础]