Inequalities of Rayleigh quotients and bounds on the spectral radius of nonnegative symmetric matrices

DOI10.1016/S0024-3795(96)00534-4zbMath0886.15013WikidataQ127628830 ScholiaQ127628830MaRDI QIDQ1368768

Don Coppersmith, Uriel G. Rothblum, Alan J. Hoffman

Publication date: 23 April 1998

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

zbMATH Keywords

inequalitiesspectral radiusHadamard productRayleigh quotientboundsnonnegative symmetric matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

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• Algebraic eigenspaces of nonnegative matrices
• On the singular graph and the Weyl characteristic of an M-matrix
• A computational method for the dominant root of a nonnegative irreducible matrix
• Nested bounds for the spectral radius
• Expansions of Sums of Matrix Powers
• Nested Bounds for the Spectral Radius
• Lower bounds for the Perron root of a nonnegative matrix

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