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Matrix vector addition

We can view matrix vector addition, that we add a vector to every row of the matrix:

$$\begin{align}\begin{aligned}\begin{split} C_{n \times m} = A_{n \times m} + b_{m} \\\end{split}\\C_{ij} = A_{ij} + b_j \end{aligned}\end{align}$$

Inequalities Proximal algorithms