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一类宏观经济模型的极限特征
引用本文:陈晓兰.一类宏观经济模型的极限特征[J].数学的实践与认识,2004,34(12):16-20.
作者姓名:陈晓兰
作者单位:山东财政学院文理学院,山东,济南,250014
摘    要:利用投入产出分析法建立了一类动态宏观经济模型 ,讨论了在生产增长的条件下 ,当规划期足够长时 ,有消费的经济系统中 ,投入、产出和消费之间的关系及其极限特征 .说明了 :系统的初始投入不一定是直接消耗系数矩阵的正特征矢量 .并且 ,在经济不出现危机的条件下 ,系统以稳定状态增长 ,呈现大道性质 .

关 键 词:非负不可约方阵  正特征矢量法  Frobenius根
修稿时间:2002年11月4日

The Limiting Characteristics of A Sort of Macroeconomic Model
CHEN Xiaolan.The Limiting Characteristics of A Sort of Macroeconomic Model[J].Mathematics in Practice and Theory,2004,34(12):16-20.
Authors:CHEN Xiaolan
Abstract:We presented a sort of macroeconomic model by use of input—output analysis method, and discussed the relations and limiting characteristics among output, input and consumption, when the programming period is long enough, and explain that Initial inveatment mustn′t be the positive characteristic vector of direct consumption coefficient matrix, and the output, input and consumption all tend to the positive characteristic vector of direct consumption coefficient matrix, the system grows with stable state, and presents Turnpike character, under the conditioin that there is no crisis in the system.
Keywords:nonnegative irreducible square matrix  positive characteristic vecter method  Frobenius root
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