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A lower bound for the spectral radius of complex matrices

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Publication:2093499
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DOI10.1016/j.laa.2022.09.012zbMath1506.15009OpenAlexW4296984454MaRDI QIDQ2093499

Minghua Lin, Jiao Zhang, Teng Zhang

Publication date: 8 November 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.09.012


zbMATH Keywords

spectral radiuspolar derivativeLaguerre's theorem


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)


Related Items

Upper bounds of spectral radius of symmetric matrices and graphs



Cites Work

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  • Lower bounds for the spectral radius of a matrix
  • Cauchy's interlace theorem and lower bounds for the spectral radius
  • Spectral radius of non-negative matrices and digraphs
  • The best possible lower bound for the Perron root using traces
  • Lower bounds for the \(\mathcal{A}_\alpha\)-spectral radius of uniform hypergraphs
  • A sharp upper bound for the spectral radius of a nonnegative matrix and applications
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