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先回顾一下矩阵乘矩阵的规则:$AB=sum_{k} a_{ik} b_{kj}$
矩阵乘向量的规则:$A extbf{x}=sum_{k} a_{ik} x_{k}$
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公式1:
- $ abla_X f(AX+B)=A^T abla_Y f$, 其中$Y=AX+B$, $A in R^{m imes n}$, $X in R^{n imes p}$, $Bin R^{m imes p}$
证明:
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公式2:
证明:
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