Paul Cuffe edited Yggm Matrix Properties.tex  about 9 years ago

Commit id: 2158c30b37c514bc070773160ba1db0d0d430bea

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Z_{LL}=\left\{\begin{array}{c}Y_{LL}^{-1},\quad det(Y_{LL})\neq 0\\Y_{LL}^\dagger,\quad det(Y_{LL})=0\end{array}\right\}.  \]  Let $Y_{GG}=[a_{ij}]_{i=1,2,...,m}^{j=1,2,...,m}$,   \\  $Y_{GL}=[b_{ij}]_{i=1,2,...,m}^{j=1,2,...,n}$, \\  $F_{LG}=[c_{ij}]_{i=1,2,...,n}^{j=1,2,...,m}$ , \\  $Y_{GL}F_{LG}=[d_{ij}]_{i=1,2,...,m}^{j=1,2,...,m}$ and \\  $Y_{GGM}=[g_{ij}]_{i=1,2,...,m}^{j=1,2,...,m}$. By substituting the previous expressions into \eqref{eq1}, for every row $i=1,2,...,m$ we have  \begin{equation}\label{eq2}