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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Bibliographic Details
Main Authors: A. McD. Mercer, Peter R. Mercer
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117120000257X
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