Some closer bounds of Perron root basing on generalized Perron complement

DOI10.1016/J.CAM.2010.06.012zbMath1202.15024OpenAlexW2049592249MaRDI QIDQ711256

Zhi-Ming Yang

Publication date: 25 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.012

zbMATH Keywords

numerical examplesPerron rootnonnegative irreducible matrixPerron complements

Mathematics Subject Classification ID

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

Related Items (2)

Bounds via spectral radius-preserving row sum expansions ⋮ Properties for the Perron complement of three known subclasses of \(H\)-matrices

Cites Work

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• Uncoupling the Perron eigenvector problem
• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• Localization of Perron roots
• A note on estimates for the spectral radius of a nonnegative matrix
• A Method for the Computation of the Greatest Root of a Nonnegative Matrix
• Bounds for the Greatest Latent Roots of a Positive Matrix
• Perron complement and Perron root

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