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Linear Matrix Inequalities (LMIs)

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Why two matrix sets defined by such LMI are equivalent?

According to the description in your reference, a $Y\in\mathbb{R}^{2\times 2}$ belong to $SO(2)^o$ iff for $x_1^2+x_2^2=1$ (on the unit circle), we have $$\begin{bmatrix}x_1 & x_2 \end{bmatrix}\begin{ …
T. Amdeberhan's user avatar