| 优化白化方程的GM(1,1)模型 |
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| 引用本文： | 徐华锋,方志耕.优化白化方程的GM(1,1)模型[J].数学的实践与认识,2011,41(7). |
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| 作者姓名： | 徐华锋 方志耕 |
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| 作者单位： | 1. 河南城建学院,河南,平顶山,467044;南京航空航天大学经济与管理学院,江苏,南京,210016
2. 南京航空航天大学经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金项目，国家社科重点项目，教育部博士点科研基金项目 |
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| 摘 要： | 通过对GM(1,1)模型的原始形式的分析,得到与之等价的差分方程,然后把差分方程连续化得到微分方程,并定义为GM(1,1)模型的白化方程,最后通过实例验证了新模型的有效性.
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| 关 键 词： | GM(1 1)模型 白化方程 优化 |
GM (1,1) Model with Optimization Whitenization Equation |
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| XU Hua-feng,FANG Zhi-geng.GM (1,1) Model with Optimization Whitenization Equation[J].Mathematics in Practice and Theory,2011,41(7). |
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| Authors: | XU Hua-feng FANG Zhi-geng |
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| Institution: | XU Hua-feng~(1,2),FANG Zhi-geng~2 (1.Henan University of Urban Construction,Pingdingshan 467044,China) (2.College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | By analyzing the original form of GM(1,1)model,we obtained an equivalent difference equations matched with the differential equations,and then continuous differential equations was defined as the whitenization equation of GM(1,1)model.At last an examples was given to verify the new model's efficiency. |
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| Keywords: | GM(1 1)model whitenization equation optimization |
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