0 & \cdots & 0 & \mD_{1}-q_{1}\mI^{-} & q_{1}\mI^{-} & \cdots& 0\\
    (1,\mathbf{E}^{-}) & 0 & \mC_{2} & \cdots & 0 & 0 & \mD_{2}-q_{2}\mI^{-} & \cdots & 0\\
    \vdots & \vdots & \vdots & \ddots & \vdots & \vdots & \vdots & \ddots & \vdots \\
    (n-1,\mathbf{E}^{-}) & 0 & 0 & \cdots & 0 & 0 & 0 & \cdots & q_{n}\mI^{-}\\
    (n,\mathbf{E}^{-}) & 0 & 0 & \cdots & \mC_{n+1} & 0 & 0 & \cdots & \mD_{n+1}
  },\end{aligned}$$ $$\begin{aligned}
\label{eq:blockV}
  {\widetilde}{\mV}=
  \kbordermatrix{
    & (0,\mathbf{E}^{+}) & (1,\mathbf{E}^{+}) & \cdots & (n,\mathbf{E}^{+}) & (0,\mathbf{E}^{-})  & (1,\mathbf{E}^{-}) & \cdots & (n,\mathbf{E}^{-}) \\
    (0,\mathbf{E}^{+}) & \mV^{+} & 0 & \cdots & 0 & 0 & 0 & \cdots& 0\\
    (1,\mathbf{E}^{+}) & 0 & \mV^{+} & \cdots & 0 & 0 & 0 & \cdots& 0\\
    \vdots & \vdots & \vdots & \ddots & \vdots & \vdots & \vdots & \ddots & \vdots \\
    (n-1,\mathbf{E}^{+}) & 0 & 0 & \cdots &0 & 0 & 0 & \cdots & 0\\
    (n,\mathbf{E}^{+}) & 0 & 0 & \cdots & \mV^{+} & 0 & 0 & \cdots& 0\\
    (0,\mathbf{E}^{-}) & 0 & 0 & \cdots & 0 & \mV^{-} & 0 & \cdots 