A. McD. Mercer, Peter R. Mercer, "Cauchy's interlace theorem and lower bounds for the spectral radius", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 871051, 4 pages, 2000. https://doi.org/10.1155/S016117120000257X
Cauchy's interlace theorem and lower bounds for the spectral radius
We present a short and simple proof of the well-known Cauchy interlace theorem. We use the theorem to improve some lower bound estimates for the spectral radius of a real symmetric matrix.
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