| 实物型投入产出模型直接消耗系数矩阵的研究 |
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| 引用本文： | 史永杰.实物型投入产出模型直接消耗系数矩阵的研究[J].汕头大学学报(自然科学版),2012,27(3):23-26,64. |
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| 作者姓名： | 史永杰 |
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| 作者单位： | 汕头大学数学系,广东汕头,515063 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 针对实物型Leontief投入产出模型,提出一个新的关于直接消耗系数矩阵具有生产能力的充要条件,即直接消耗系数矩阵的谱半径小于1,该方法更为直接简单.进一步应用矩阵论中关于谱半径的估计,得到一些关于直接消耗系数矩阵具有生产能力的充分条件.
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| 关 键 词： | Leontief投入产出模型 直接消耗系数矩阵 生产能力 |
Study on the Direct Consumption Coefficients Matrix of Material-Type Input-Output Model |
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| SHI Yong-jie.Study on the Direct Consumption Coefficients Matrix of Material-Type Input-Output Model[J].Journal of Shantou University(Natural Science Edition),2012,27(3):23-26,64. |
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| Authors: | SHI Yong-jie |
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| Institution: | SHI Yong-jie (Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China) |
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| Abstract: | For the material-type Leontief input-output model, a new sufficient and necessary condition for the direct consumption coefficients matrix to be productive is proposed, i.e. the spectrum radius of the direct consumption coefficients matrix is less than 1. Furthermore, by some estimates sufficient conditions are obtained for the productive. of spectrum radius in matrix theory, some direct consumption coefficients matrix to be |
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| Keywords: | Leontief input-output model direct onsumption coefficients matrix productive |
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