| 最小二乘线性逼近的一个注 |
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| 引用本文： | 吴文达. 最小二乘线性逼近的一个注[J]. 计算数学, 1979, 1(4): 388-390 |
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| 作者姓名： | 吴文达 |
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| 作者单位： | 北京市计算中心 |
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| 摘 要： | 给定m维实空间中N个点P_i=(x_1~((i)),x_2~((i)),…,x_m~((i)),i=1(1)N.对于任何超平面 k_1x_1+k_2x_2+…+k_mx_m+k_0=0,P_i到它的垂直距离平方和
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A NOTE ON THE LEAST-SQUARE LINEAR APPROXIMATION |
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| Affiliation: | Wu Wen-da Beijing Municipal Computing Center |
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| Abstract: | The least--square linear approximation considered in [2] is generalized to them-dimensional space. The optimization problem is reduced to a matrix eigenvalueproblem. For the special case m = 2, it seems that the formula obtained is simplerand clearer than that of [2]. |
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