| V~TPV=min的充分条件 |
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| 引用本文： | 石金峰,乔仰文,刘光宗,刘立忱.V~TPV=min的充分条件[J].辽宁工程技术大学学报(自然科学版),1993(4). |
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| 作者姓名： | 石金峰 乔仰文 刘光宗 刘立忱 |
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| 作者单位： | 阜新矿业学院控制测量教研室
(石金峰，乔仰文，刘光宗)，阜新矿业学院师资科(刘立忱) |
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| 摘 要： | 本文以满秩网平差为例.通过法方程系数矩阵及观测值权矩阵的正定,论证了V~TPV=min的充分性。同时证明了观测值权矩阵为正定阵时,秩亏网平差也满足上述结论。
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| 关 键 词： | 最小二乘准则 充分条件 正定阵 权矩阵 |
The Demonstration of the Ampleness of Least Squares Criterion |
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| Shi Jinfeng Qiao Yangwen Liu Guangzong.The Demonstration of the Ampleness of Least Squares Criterion[J].Journal of Liaoning Technical University (Natural Science Edition),1993(4). |
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| Authors: | Shi Jinfeng Qiao Yangwen Liu Guangzong |
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| Institution: | Shi Jinfeng Qiao Yangwen Liu Guangzong |
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| Abstract: | The adjustment of a full rank network being taken as an example, this paper has demonstrated the ampleness of the fromula, VTPV=min,in the light of the positive and definite nature of the weight matrixes of normal equation coefficient and observation values. In the meantime, it has proved that when the weight matrix of observation values is a positive and definite one, the adjustment of a fewer rank network will also meet the requirements of the above conclusion. |
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| Keywords: | least squares criterion ampleness positive definite matrix weight matrix |
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