相关矩阵

分块表示

Moore-Penrose广义逆

邻接矩阵

$A=\left(\begin{array}{cc}0& j_7^T\\ j_7& O_{7\times 7}\end{array}\right)$

$A^{+}=\left(\begin{array}{cc}0& \frac{1}{7}{j}_7^T\\ \frac{1}{7}{j}_7& O_{7\times 7}\end{array}\right)$

关联矩阵

$M=\left(\begin{array}{c}{j}_7^T\\ I_7\end{array}\right)$

$M^{+}=\left(\begin{array}{cc}\frac{1}{8}{j}_7& -\frac{1}{8}{J}_7+I_7\end{array}\right)$

距离矩阵

$D=\left(\begin{array}{cc}0& j_7^T\\ j_7& 2\left(J_7-I_7\right)\end{array}\right)$

$D^{+}=\left(\begin{array}{cc}-\frac{12}{7}& \frac{1}{7}{j}_7^T\\ \frac{1}{7}{j}_7& \frac{1}{14}{J}_7-\frac{1}{2}{I}_7\end{array}\right)$

无符号拉普拉斯矩阵

$Q=\left(\begin{array}{cc}7& j_7^T\\ j_7& I_7\end{array}\right)$

$Q^{+}=\left(\begin{array}{cc}\frac{7}{64}& \frac{1}{64}{j}_7^T\\ \frac{1}{64}{j}_7& -\frac{9}{64}{J}_7+I_7\end{array}\right)$

拉普拉斯矩阵

$L=\left(\begin{array}{cc}7& -j_7^T\\ -j_7& I_7\end{array}\right)$

$L^{+}=\left(\begin{array}{cc}\frac{7}{64}& -\frac{1}{64}{j}_7^T\\ -\frac{1}{64}{j}_7& -\frac{9}{64}{J}_7+I_7\end{array}\right)$