| 三种度量向量组数值线性相关性方法的关系 |
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| 引用本文： | 张华仁,李维国.三种度量向量组数值线性相关性方法的关系[J].中国石油大学学报(自然科学版),2010,34(1). |
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| 作者姓名： | 张华仁 李维国 |
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| 作者单位： | 1. 中国石油大学数学与计算科学学院,山东,东营257061;中国科学院青岛生物能源与过程研究所,山东青岛266101
2. 中国石油大学数学与计算科学学院,山东,东营257061 |
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| 基金项目： | 国家自然科学基金项目，教育部人才计划项目 |
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| 摘 要： | 讨论度量向量组的相对相关性指标、线性相关指标和最小相对范数指标.证明线性相关性指标和相对相关性指标的等价性,并建立最小相对范数指标与线性相关性指标的关系表达式.应用实例结果验证了所得结论的正确性.
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| 关 键 词： | 数值线性相关性 Gram行列式 秩 |
Relationship of three methods for measuring numerical linear dependence of vectors |
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| ZHANG Hua-ren,LI Wei-guo.Relationship of three methods for measuring numerical linear dependence of vectors[J].Journal of China University of Petroleum,2010,34(1). |
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| Authors: | ZHANG Hua-ren LI Wei-guo |
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| Institution: | ZHANG Hua-ren1,2,LI Wei-guo1(1.College of Mathematics , Computational Sciences in China University of Petroleum,Dongying 257061,China,2.Qingdao Institute of BioEnergy , BioProcess Technology,Chinese Acedemy of Science,Qingdao 266101,China) |
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| Abstract: | Relative dependence index,linear dependence index and the minimum relative norm index for measuring numerical linear dependence of vectors were researched. The equivalent property of the linear dependence index and the relative dependence index was proved and the relational expression of the minimal relative norm index and linear dependence index was founded. Numerical examples show the practicability of the results. |
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| Keywords: | numerical linear dependence Gram determinant rank |
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