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@@ -147,7 +147,7 @@ $$
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a. 假设$x^i<0$,则$\operatorname{sign}(x^i)=-1$,那么有$x^i=z^i+\frac{\lambda}{L}>0$与假设矛盾;
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a. 假设$x^i<0$,则$\operatorname{sign}(x^i)=-1$,那么有$x^i=z^i+\frac{\lambda}{L}>0$与假设矛盾;
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- b. 假设$x^i>0$,则$\operatorname{sign}(x^i)=1$,那么有$x^i=z^i-\frac{\lambda}{L}<0$和假设相符和,下面来检验$x^i=z^i-\frac{\lambda}{L}$是否是使函数$g(x^i)$的取得最小值。当$x^i>0$时,
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+ b. 假设$x^i>0$,则$\operatorname{sign}(x^i)=1$,那么有$x^i=z^i-\frac{\lambda}{L}>0$和假设相符合,下面来检验$x^i=z^i-\frac{\lambda}{L}$是否是使函数$g(x^i)$的取得最小值。当$x^i>0$时,
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$$
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$$
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\frac{d g\left(x^{i}\right)}{d x^{i}}=L\left(x^{i}-z^{i}\right)+\lambda
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\frac{d g\left(x^{i}\right)}{d x^{i}}=L\left(x^{i}-z^{i}\right)+\lambda
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$$
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$$
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