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\bm{A}=\begin{bmatrix}\bm{A}_{1}\\\bm{A}_{2}\end{bmatrix},\quad - \bm{x}=\begin{bmatrix}\bm{x}_{1}\\\bm{x}_{2}\end{bmatrix},\quad \bm{b}=\begin{bmatrix}\bm{b}_{1}\\\bm{b}_{2}\end{bmatrix}, \end{equation*} we could consider an optimization problem using only the first part of the matrices, which would yield the estimate -- GitLab