I don't know how I can write this minimization problem like a general LP:
Given m vectors $v_1,v_2...v_m \in \mathbb{R}^n$ and m numbers $t_1,..,t_m \in \mathbb{R}$, we want a vector $y \in \mathbb{R}^n$ such that $|v_i^Ty-t_i| \leq D \ \ \ for \ i \in \{1,...,m\}$, with minimal $D \in \mathbb{R} $
My problem is to see what exactly are the constraints in this case. Hope you can help me