On bounding the eigenvalues of matrices with constant row-sums

DOI10.1080/03081087.2018.1430736zbMath1412.15020OpenAlexW2793509790MaRDI QIDQ4632236

Rachid Marsli, Frank J. Hall

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1430736

zbMATH Keywords

eigenvalueLaplacian matrixstochastic matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Stochastic matrices (15B51)

Related Items (7)

Some properties of ergodicity coefficients with applications in spectral graph theory ⋮ Eigenvalue localization under partial spectral information ⋮ Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair ⋮ Equivalence classes of e-matrices and associated eigenvalue localization regions ⋮ \(Z\)-eigenvalue localization sets for even order tensors and their applications ⋮ Unnamed Item ⋮ Eigenvalue bounds for some classes of matrices associated with graphs

Cites Work

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• An eigenvalue localization theorem for stochastic matrices and its application to Randić matrices
• Non-negative matrices and Markov chains. 2nd ed
• On the structure of stochastic matrices with a subdominant eigenvalue near 1
• An improved upper bound for Laplacian graph eigenvalues
• Eigenvalue Localization Refinements for Matrices Related to Positivity
• Subdominant eigenvalues for stochastic matrices with given column sums
• A cycle-based bound for subdominant eigenvalues of stochastic matrices
• Gershgorin Disks for Multiple Eigenvalues of Non-negative Matrices
• Generalized inverse of the Laplacian matrix and some applications

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