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arXiv · 0808.4118

Asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod r)

Shaofang Hong·Raphael Loewy
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Abstract

In this paper we present systematically analysis on the smallest eigenvalue of matrices associated with completely even functions (mod $r$). We obtain several theorems on the asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod $r$). In particular, we get information on the asymptotic behavior of the smallest eigenvalue of the famous Smith matrices. Finally some examples are given to demonstrate the main results.

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Shaofang Hong, Raphael Loewy. 2011-09-27. Asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod r). https://arxiv.org/abs/0808.4118

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