Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices

DOI10.1016/j.laa.2023.05.014zbMath1529.15019arXiv2209.01991MaRDI QIDQ6161135

Gernot M. Engel, Sergey M. Sergeev

Publication date: 26 June 2023

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

Full work available at URL: https://arxiv.org/abs/2209.01991

zbMATH Keywords

rearrangement inequalityPerron rootrow sums

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• Unnamed Item
• Spectral simplex method
• Bounds for the Perron root of a nonnegative matrix involving the properties of its graph
• On sets of eigenvalues of matrices with prescribed row sums and prescribed graph
• The greedy strategy for optimizing the Perron eigenvalue
• Bounds for the Perron root using max eigenvalues

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