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Results tagged with matrices
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user 526072
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Smallest eigenvalue of a certain Toeplitz Hermitian matrix
To add onto Carlo Beenakker's answer, the infinite-$n$ result is indeed a lower bound, because the lowest eigenvalue is a decreasing function of $n$.
For any nonzero vector $x$ and fixed $n$, the Rayl …
