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8 votes
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Bounding sum of first singular values squared for Kronecker sum of traceless matrices

Let $A$ and $B$ be $4\times4$ traceless matrices with Hilbert-Schmidt norms summing up to $1/4$, i.e. $$\text{Tr}\left[ A\right]=\text{Tr}\left[ B\right] = 0,\qquad\text{Tr}\left[ A^\dagger A + B^\...
Piotr Migdal's user avatar
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2 votes
2 answers
264 views

Prove spectral equivalence of matrices

Let $A,D \in \mathbb{R}^{n\times n}$ be two positive definite matrices given by $$ D = \begin{bmatrix} 1 & -1 & 0 & 0 & \dots & 0\\ -1 & 2 & -1 & 0 & \dots & 0\\...
Luna947's user avatar
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