On the spectral radius of Hadamard products of nonnegative matrices

DOI10.15352/bjma/09-2-10zbMath1314.15008OpenAlexW1575726163MaRDI QIDQ2341433

Yun Zhang, Dongjun Chen

Publication date: 24 April 2015

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1419001109

zbMATH Keywords

spectral radiusHadamard productnonnegative matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (8)

Some spectral norm inequalities on Hadamard products of nonnegative matrices ⋮ Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators ⋮ Asymptotic formulae and inequalities for point spectrum in max algebra ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

Cites Work

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• Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces
• On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices
• Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces
• Inequalities for the spectral radius of non-negative functions
• Spectral radius of Hadamard product versus conventional product for non-negative matrices
• Bounds on the spectral radius of Hadamard products of positive operators on lp-spaces
• Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
• The perron root of a weighted geometric mean of nonneagative matrices

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