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The best possible lower bound for the Perron root using traces

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Publication:1881078
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DOI10.1016/j.laa.2004.03.021zbMath1083.15507OpenAlexW2048815049MaRDI QIDQ1881078

Ari Virtanen, Jorma Kaarlo Merikoski

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.021


zbMATH Keywords

eigenvalue boundsPerron rootpositive matrix


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items

Some lower bounds for the spectral radius of matrices using traces ⋮ Bounds on the Spectral Radius of Digraphs from Subgraph Counts ⋮ On the Sα-matrix of graphs ⋮ Sharp bounds for the largest eigenvalue of the signless Laplacian of a graph ⋮ A lower bound for the spectral radius of complex matrices



Cites Work

  • Unnamed Item
  • Tight bounds on the spectral radius of asymmetric nonnegative matrices
  • A lower bound for the Perron root of a nonnegative matrix
  • Bounds for eigenvalues using traces
  • Lower bounds for the spectral radius of a matrix
  • Matrix Analysis
  • On a lower bound for the perron eigenvalue
  • Inequalities of Chebyshev Type Involving Conditional Expectations
  • Lower bounds for the Perron root of a nonnegative matrix
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