华氏经济数学理论的应用──小区域与大区域生产协调性的数理分析

The Application of Hua′s Economy-mathematics Theory The Mathematical Analysis of the Readjustment in Both Small Region and Big Region

用投入产出法建立了小区域与大区域的生产模型，分析了小区域与大区域的生产关系，得到了正特征向量法讨论产量型和产值型投入产出模型是等价的结论，同时又得到当各小区域的消耗系数阵为不可分阵时，大区域的消耗系数阵必为不可分阵的结论，进一步给出了小区域与大区域生产协调性的定义及成立的条件，最后用矩阵理论及方程组解的存在条件对条件存在性作了初步探讨。

This paper set up the production model about small region and big region by input-output method;analysed the relationship of both in production;reached the conclusion that the results of output method and value method by the characteristic vector method are equal and that when matrix A of small region k is indecomposed matrix,matrix A of big region is indecomposed matrix;further gave the definition of production coordination between small regions and big region and discussed the existence of the condition by matrix theory and equation system.