0\leq v^{\tau}R^{-1}d = 
	\begin{bmatrix} v^{\tau}_{1} & v^{\tau}_{2}\end{bmatrix}
	\begin{bmatrix} (I-\alpha H_{11})^{-1} & \alpha(I-\alpha H_{11})^{-1}H_{12}\\	0 & I \end{bmatrix} \begin{bmatrix} 0\\ e \end{bmatrix} =\alpha v^{\tau}_{1}	(I-\alpha H_{11})^{-1}H_{12}e+v^{\tau}_{2}e =1-(1-\alpha)v^{\tau}_{1}(I-\alpha H_{11})^{-1}e.