The spectral distance from a block matrix to set of block matrices having two prescribed eigenvalues

‎In this paper consider the block normal matrix‎ ‎$G_{D}=\begin{pmatrix}‎ ‎A B \\‎ ‎C D‎ ‎\end{pmatrix}$‎, ‎where‎ ‎$A \in\mathbb{C}^{n \times n}$‎, ‎$B \in\mathbb{C}^{n \times m}$‎, ‎$C \in\mathbb{C}^{m \times n}$‎ ‎and‎ ‎$D \in \mathbb{C}^{m \times m}$‎. ‎We find the block normal matrix‎ ‎$G_{D_0}=\begin{pmatrix}‎ ‎A B \\‎ ‎C D_0‎ ‎\end{pmatrix} $‎ ‎such that be the closest matrix to $G_D$ and has prescribed eigenvalues $\lambda_1$ and $\lambda_2$‎.