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Cauchy's interlace theorem and lower bounds for the spectral radius

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Publication:1578357
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DOI10.1155/S016117120000257XzbMath0955.15007OpenAlexW2114617845MaRDI QIDQ1578357

Peter R. Mercer, A. McD. Mercer

Publication date: 27 August 2000

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48637


zbMATH Keywords

eigenvaluessymmetric matrixCauchy interlace theoremlower bounds for the spectral radius


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items (5)

Positive semidefiniteness of estimated covariance matrices in linear models for sample survey data ⋮ Bounds on the Spectral Radius of Digraphs from Subgraph Counts ⋮ Unnamed Item ⋮ A lower bound for the spectral radius of complex matrices ⋮ On Cauchy's interlacing theorem and the stability of a class of linear discrete aggregation models under eventual linear output feedback controls




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