problem 1: \begin{aligned} & \underset{}{\text{maximize}} & & -b^T\mu-(1/4)\sum^{n}_{i=1}(c_i+a_i^{T}\mu-v_i)^2/v_i \\ & \text{subject to} && v \succeq 0. \end{aligned}
problem2:
\begin{aligned} & \underset{}{\text{maximize}} & & -b^T\mu-1^Tw \\ & \text{subject to} & & A^T\mu-v+w+c =0 \\ &&& \mu \succeq 0 ,v\succeq0, w\succeq 0 \end{aligned} where $A =(a_1,a_2,\dots a_n)$
how to these two problems are equvlanent ?