Let $A\in\mathbb{C}^{m\times n}$, $B\in\mathbb{C}^{n\times k}$, $C\in\mathbb{C}^{k\times m}$ be given complex matrices. The objective of the optimization problem is \begin{equation} \mathop {\arg \min }\limits_X \lambda_{\max} \left( (A + BXC)(A + BXC)^H \right), \end{equation} where $X\in\mathbb{C}^{k\times k}$ is a matrix with $||x(i,j)||<1$ for all $i,j \in 1, 2,...k$?

Let $A\in\mathbb{C}^{m\times n}$, $B\in\mathbb{C}^{n\times k}$, $C\in\mathbb{C}^{k\times m}$ be given complex matrices. The objective of the optimization problem is \begin{equation} \mathop {\arg \min }\limits_X \lambda_{\max} \left( (A + BXC)(A + BXC)^H \right), \end{equation} where $X\in\mathbb{C}^{k\times k}$ is a matrix with $|x(i,j)|<1$ for all $i,j \in 1, 2,\dots,k$?

Let $A\in\mathbb{C}^{m\times n}$, $B\in\mathbb{C}^{n\times k}$, $C\in\mathbb{C}^{k\times m}$ be given complex matrices. The objective of the optimization problem is \begin{equation} \mathop {\arg \min }\limits_X \lambda_{\max} \left( (A + BXC)(A + BXC)^H \right), \end{equation} where $X\in\mathbb{C}^{k\times k}$ is a matrix with $||x(i,j)||<1$?

Let $A\in\mathbb{C}^{m\times n}$, $B\in\mathbb{C}^{n\times k}$, $C\in\mathbb{C}^{k\times m}$ be given complex matrices. The objective of the optimization problem is \begin{equation} \mathop {\arg \min }\limits_X \lambda_{\max} \left( (A + BXC)(A + BXC)^H \right), \end{equation} where $X\in\mathbb{C}^{k\times k}$ is a matrix with $||x(i,j)||<1$ for all $i,j \in 1, 2,...k$?

Let $A(m,n)$, $B(n,k)$, $C(k,m)$ be given complex matrices. The objective of the optimization problem is: \begin{equation} \mathop {\arg \min }\limits_X \left[ {{\lambda _{\max }}\left( {A + BXC} \right){{(A + BXC)}^H}} \right], \end{equation} where $X$ is a $(k,k)$ complex matrix with $||x(i,j)||<1$?

Let $A\in\mathbb{C}^{m\times n}$, $B\in\mathbb{C}^{n\times k}$, $C\in\mathbb{C}^{k\times m}$ be given complex matrices. The objective of the optimization problem is \begin{equation} \mathop {\arg \min }\limits_X \lambda_{\max} \left( (A + BXC)(A + BXC)^H \right), \end{equation} where $X\in\mathbb{C}^{k\times k}$ is a matrix with $||x(i,j)||<1$?