关于加权全最小一乘法
On Weighted Total Least Absolute Deviations
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摘要: 本文证明了在准则Q(a,b,c)=\frac1\sqrta^2+b^2\tsm_i=1^nw_i|ax_i+by_i+c|=\min\qq(w_i>0,\,i=1,2,\cdots,n) 下, 最优直线ax+by+c=0的存在性,并给出了最优直线应满足的两个必要条件, 为具体求出确切的最优解提供了依据和方法.Abstract: The paper demonstrates the existence of the optimal straight line under the minimum of weighted total least absolute deviation, and suggests the two necessary conditions that the optimal straight line should satisfy, and provides evidence for the calculation of accurate and optimal solution.
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