block matrix, non-orthogonal basis

$\begin{displaymath} (w S -H) = \left[ \begin{array}{ccc} \omega S_{L}-H_{L} & \... ...\omega S_{RC}-H_{RC} & \omega S_{R}-H_{R} \end{array} \right] \end{displaymath}$

(183)

$\displaystyle G_{C}$	$\textstyle =$	$\displaystyle \left[ \omega S_C -H_{C} - (\omega S_{CR}-H_{CR}) (\omega -H_{R})^{-1}(\omega S_{RC}- H_{RC} )\right.$
		$\displaystyle \left. - (\omega S_{CL}-H_{CL}) (\omega -H_{L})^{-1}(\omega S_{LC}- H_{LC}) \right]^{-1}$	(184)
	$\textstyle =$	$\displaystyle \{ \omega S_{C} -H_{C} -\Sigma_R -\Sigma_L \}^{-1}$	(185)
$\displaystyle \Sigma_R$	$\textstyle =$	$\displaystyle (\omega S_{CR}-H_{CR}) (\omega S_R-H_{R})^{-1}( \omega S_{RC} - H_{RC})$	(186)
$\displaystyle \Sigma_L$	$\textstyle =$	$\displaystyle (\omega S_{CL}-H_{CL}) (\omega S_L-H_{L})^{-1}( \omega S_{LC} - H_{LC})$	(187)