User:Sintel/CTE tuning: Difference between revisions
No edit summary |
No edit summary |
||
| Line 9: | Line 9: | ||
\begin{align} | \begin{align} | ||
\underset{g}{\text{minimize}} & \quad \| g\mathrm{MW} - j\mathrm{W} \|^2 \\ | \underset{g}{\text{minimize}} & \quad \| g\mathrm{MW} - j\mathrm{W} \|^2 \\ | ||
\text{subject to} & \quad | \text{subject to} & \quad ( g\mathrm{M} - j )\mathrm{V} = 0 \\ | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
| Line 33: | Line 33: | ||
\begin{align} | \begin{align} | ||
\underset{g}{\text{minimize}} & \quad \left\| \mathrm{A}g^{\mathsf T} - b \right\|^2 \\ | \underset{g}{\text{minimize}} & \quad \left\| \mathrm{A}g^{\mathsf T} - b \right\|^2 \\ | ||
\text{s.t.} & \quad | \text{s.t.} & \quad ( \mathrm{C}g^{\mathsf T} - d ) = 0 \\ | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
| Line 40: | Line 40: | ||
<math> | <math> | ||
\begin{bmatrix} | \begin{bmatrix} | ||
g^{\mathsf T} \\ | g^{\mathsf T} \\ | ||
| Line 50: | Line 45: | ||
\end{bmatrix} | \end{bmatrix} | ||
= | = | ||
\begin{bmatrix} | |||
\mathrm{A}^{\mathsf T}\mathrm{A} & \mathrm{C}^{\mathsf T} \\ | |||
\mathrm{C} & 0 | |||
\end{bmatrix}^{-1} | |||
\begin{bmatrix} | \begin{bmatrix} | ||
\mathrm{A}^{\mathsf T} b\\ | \mathrm{A}^{\mathsf T} b\\ | ||