GM模型参数识别方程组性态的初步讨论 |
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引用本文: | 刘元会,郭建青,常安定,邓秋霞.GM模型参数识别方程组性态的初步讨论[J].西安联合大学学报,2004,7(2):45-49. |
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作者姓名: | 刘元会 郭建青 常安定 邓秋霞 |
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作者单位: | [1]长安大学理学院,陕西西安710054 [2]长安大学环境工程学院,陕西西安710054 [3]武警工程学院,陕西西安710068 |
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摘 要: | 通过对三个算例的讨论,指出在参数识别方程组系数矩阵的条件数较大的情况下,当建模原始数据具有系统误差时,方程组并不呈现出病态;在个别原始数据具有误差时,方程组会出现病态,据此对建立的灰色系统模型,进行参数识别提出了相应的建议。
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关 键 词: | GM模型 参数识别 条件数 方程组性态 |
文章编号: | 1008-777X(2004)02-0045-05 |
修稿时间: | 2003年11月19 |
Discussion on the Performance of GM Parameter Estimation Equation Group |
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Authors: | LIU Yuan-hui GUO Jian-qing CHANG An-ding DENG Qiu-xia |
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Institution: | LIU Yuan-hui~1,GUO Jian-qing~2,CHANG An-ding~1,DENG Qiu-xia~3 |
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Abstract: | Discussion has been conducted on the performance of grey model's parameter estimation equation group. By three examples, it is pointed out that when the conditional number of its coefficient matrix is bigger, the original data used for establishing the grey model is of systematic errors, its performance is not bad, when some individual data is of some errors, its performance is bad. Based on them, some suggestions are given for establishing reliable grey model. |
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Keywords: | GM model parameter estimation performance of equation group conditional number |
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