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Bounds for the spectral radius and the largest singular value

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Publication:1806565
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DOI10.1016/S0898-1221(98)00107-2zbMath0942.15013OpenAlexW1988466901MaRDI QIDQ1806565

Yanyan Li

Publication date: 21 August 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00107-2


zbMATH Keywords

regularityspectral radiusranknon-negative matrixnormal matrixPerron rootlargest singular value


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items (2)

Bounds on the Spectral Radius of Digraphs from Subgraph Counts ⋮ Lower bounds for the smallest singular value



Cites Work

  • More estimates for eigenvalues and singular values
  • Bounds for eigenvalues using traces
  • A decreasing sequence of eigenvalue localization regions
  • Bounds for singular values using traces
  • A decreasing sequence of upper bounds for the Perron root
  • Localization of eigenvalues in elliptic regions
  • Lower bounds for the Perron root of a nonnegative matrix


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