Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices

DOI10.1007/s10958-013-1305-xzbMath1278.15023OpenAlexW2014673035MaRDI QIDQ357320

L. Yu. Kolotilina

Publication date: 30 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1305-x

zbMATH Keywords

eigenvaluesnonnegative matricesgraphssymmetric matricesPerron root

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair ⋮ On eigenvalue inequalities of a matrix whose graph is bipartite ⋮ Second largest eigenpair statistics for sparse graphs

Cites Work

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• On the sum of two largest eigenvalues of a symmetric matrix
• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• Commutativity and spectra of Hermitian matrices
• Bounds and inequalities for the Perron root of a nonnegative matrix

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