New answers tagged linear-matrix-inequalities
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Inequality for hermitian matrices
No. For example, let
\begin{align*}
p_1 = \begin{bmatrix}
1 & 0 \\ 0 & 0
\end{bmatrix}, \ \ p_2 = \begin{bmatrix}
0 & 0 \\ 0 & 1
\end{bmatrix}, \ \ S_1 = \begin{bmatrix}
1 & 1 \\ 1 ...
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