On equitable partition of matrices and its applications

DOI10.1080/03081087.2019.1572708zbMath1452.15022OpenAlexW2912916739WikidataQ114641292 ScholiaQ114641292MaRDI QIDQ5133398

Fouzul Atik

Publication date: 13 November 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1572708

zbMATH Keywords

stochastic matrixequitable partitioneigenvalue localizationquotient matrixGeršgorin discs

Mathematics Subject Classification ID

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

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Cites Work

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• An eigenvalue localization theorem for stochastic matrices and its application to Randić matrices
• A modification of eigenvalue localization for stochastic matrices
• On the distance spectrum of distance regular graphs
• Distance Spectral Radius of Some k-partitioned Transmission Regular Graphs
• Eigenvalue Localization Refinements for Matrices Related to Positivity
• Geršgorin-type and Brauer-type eigenvalue localization sets of stochastic matrices
• Subdominant eigenvalues for stochastic matrices with given column sums
• A cycle-based bound for subdominant eigenvalues of stochastic matrices

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