Localization of Perron roots

DOI10.1016/j.laa.2004.06.016zbMath1067.15004OpenAlexW1965420532MaRDI QIDQ1887498

Lin-Zhang Lu, Michael Kwok-Po Ng

Publication date: 26 November 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.2004.06.016

zbMATH Keywords

eigenvaluenumerical examplesPerron complementPerron rootSpectral radiusNonnegative irreducible matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

A modified algorithm for the Perron root of a nonnegative matrix ⋮ Bounds for the Perron root of positive matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The lower and upper bounds on Perron root of nonnegative irreducible matrices ⋮ Bounds for the Perron root of nonnegative matrices and spectral radius of iteration matrices ⋮ Some closer bounds of Perron root basing on generalized Perron complement

Cites Work

• Unnamed Item
• Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices
• Uncoupling the Perron eigenvector problem
• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• Inverses of Perron complements of inverse \(M\)-matrices
• Perron eigenvector of the Tsetlin matrix
• A divide and conquer approach to computing the mean first passage matrix for Markov chains via Perron complement reductions
• Perron complement and Perron root

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