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In mathematics, the spectral radius of a square matrix or a bounded linear operator is the supremum among the absolute values of the elements in its spectrum.

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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

Let $A$ be real a positive semidefinite matrix of dimension $n$ and with $1$s on the diagonal. Those matrices are sometimes referred to as correlation matrices. From the positivity of the minors, we …
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