Is there a specific notation for eigenvalues? specifically, I'd like to write: $$m\equiv \text{smallest eigenvaue of }H$$ I've seen some sources write this as: $H\succeq mI$, where "$\succeq0$" means the matrix is semi positive definite, but it seems a bit convoluted.
Is there a simpler, more accepted way to write this?
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$\begingroup$Normally one says something like "Let $\lambda_1, \ldots, \lambda_n$ be the eigenvalues of $H$ in non-decreasing order." or "Let $\lambda_1 \leq \ldots\leq \lambda_n$ be the eigenvalues of $H$."
Then, you just say $\lambda_1$.
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