| 宏观经济均衡发展的数学理论(Ⅲ) |
| |
| 引用本文： | 耿显民. 宏观经济均衡发展的数学理论(Ⅲ)[J]. 应用数学与计算数学学报, 2003, 17(1): 1-8 |
| |
| 作者姓名： | 耿显民 |
| |
| 作者单位： | 南京航空航天大学理学院,江苏,南京,210016 |
| |
| 摘 要： | 研究了前向延迟型动态投入产出模型X(t)=AX(t 1) B[X(t 1)-x(t)]和X(t)=AX(t 1) B[X(t 1)-X(t)] S(t)的解向量和A B的系数对经济发展的影响，证明了使经济崩溃的向量集合的存在性．对X(t)=AX(t 1) B[X(t 1)-X(t)]前向延迟型动态投入产出模型，给出了经济发展的最快速度；证明了降低消耗系数和投资系数将提高经济效率和经济发展速度．
|
| 关 键 词： | 宏观经济 均衡发展 经济崩溃集 矩阵 特征值 Perron向量 投入产出模型 消耗系数 投资系数 |
| 修稿时间： | 1999-12-29 |
The Mathematical Theory on Macro-Economy of Balanced Development (Ⅲ) |
| |
| XIANMIN GENG. The Mathematical Theory on Macro-Economy of Balanced Development (Ⅲ)[J]. Communication on Applied Mathematics and Computation, 2003, 17(1): 1-8 |
| |
| Authors: | XIANMIN GENG |
| |
| Abstract: | About the dynamic input-output model of forward delay of X(t) = AX(t + 1) + B[X(t + 1) - X(t)], and X(t) = AX(t + 1) + B[X(t + 1) - X(t)] + S(t) we research that it's solution vector and the coefficient of A + B affect function for economic development.And we confirm the existence of economic collapse set.For the dynamic input-output model of forward delay of X(t) = AX(t+1) + B[X(t+1)-X(t)],weobtain that 1 + p-1(D) is the most rapid speed in economic development. And we confirm that to lessen the consumption and investment coefficient will raise the speed of economic growth and the economic efficiency. |
| |
| Keywords: | Irreducible nonnegative matrix Vector set Maximum characteristic value Perron's vector. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
