| 列昂惕夫逆阵修订方法研究 |
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| 引用本文： | 周鹏,唐焕文.列昂惕夫逆阵修订方法研究[J].经济数学,2003,20(2):33-40. |
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| 作者姓名： | 周鹏 唐焕文 |
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| 作者单位： | 1. 大连理工大学应用数学系,大连,116024
2. 大连理工大学应用数学系,大连,116024;大连理工大学运筹学与管理科学研究所,大连,116024 |
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| 基金项目： | the National Natural Science Foundation of China(NO:10 0 710 10 ) |
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| 摘 要： | 列昂惕夫逆阵的修订对于充分利用投入产生模型具有十分重要的意义.为了直接修订列昂惕夫逆阵,本文基于投入产出方程,提出了RCS和改进的RCS方法,并讨论了它们与传统RAS方法的内在联系.分析表明,RCS方法及改进的RCS方法比传统RAS方法更具一般性.文章最后通过一个算例对比了RCS方法、改进的RCS方法及RAS间接修订方法.结果表明,文中提出的列昂惕夫逆阵的修订方法特别是改进的RCS方法更为有效.
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| 关 键 词： | RAS方法 直接消耗系数阵 列昂惕夫逆阵 完全消耗系数阵 |
STUDY OF METHODS USED TO UPDATE THE LEONTIEF INVERSE |
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| Abstract.STUDY OF METHODS USED TO UPDATE THE LEONTIEF INVERSE[J].Mathematics in Economics,2003,20(2):33-40. |
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| Authors: | Abstract |
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| Abstract: | The update of the Leontief inverse is very important for the input output(I O)researchers to make full use of I O models.In this paper we present the RCS and modified RCS methods based on some simple input output equations for directly updating the Leontief inverse.And we also discuss the implied relationship between them with the conventional RAS method.The conclusion is that the former is more general than the latter. Subsequently the RCS and modified RCS methods are compared with the indirect RAS method via an example.It is demonstrated that the methods we introduce,especially the modified RCS method is more practical. |
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| Keywords: | RAS the technical coefficient matrix the Leontief inverse the cumulative coefficient matrix |
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