# Hadamard Product

2018年11月2日 / 265次阅读

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Hadamard Product是一种不一样的矩阵乘法，product这个词，也有乘积的含义。

Hadamard Product不同于普通矩阵的乘法，看图吧：

Hadamard Product图形表示

Hadamard Product矩阵表示

$$s \odot t$$

$$\begin{eqnarray} \left[\begin{array}{c} 1 \\ 2 \end{array}\right] \odot \left[\begin{array}{c} 3 \\ 4\end{array} \right] = \left[ \begin{array}{c} 1 * 3 \\ 2 * 4 \end{array} \right] = \left[ \begin{array}{c} 3 \\ 8 \end{array} \right] \end{eqnarray}$$

The Hadamard product operates on identically-shaped matrices and produces a third matrix of the same dimensions.

In mathematics, the Hadamard product (also known as the Schur product or the entrywise product) is a binary operation that takes two matrices of the same dimensions, and produces another matrix where each element i,j is the product of elements i,j of the original two matrices. It should not be confused with the more common matrix product. It is attributed to, and named after, either French mathematician Jacques Hadamard, or German mathematician Issai Schur.

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《Hadamard Product》有1条留言

• 麦新杰

np中的*，就是hadamard product。要在np中做真正的matrix product，请使用@ ，或者dot() []

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