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eigenvalues of matrices or operators
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Maximal eigenvalue of a correlation matrix with some entries fixed as zeros
The question can be solved by considering the Lovász number of a graph whose adjacency matrix has entries $0$ if $a_{ij} \neq 0$ and $1$ everywhere else. This is proven (up to a typo) in Section 33 he …
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Maximal eigenvalue of a correlation matrix with some entries fixed as zeros
Is there a way to prove this, without using the explicit from of the eigenvalues, which can become very cumbersome for general matrices? …