Some spectral norm inequalities on Hadamard products of nonnegative matrices

DOI10.1016/j.laa.2018.07.011zbMath1395.15016OpenAlexW2884122263MaRDI QIDQ1668993

Yun Zhang

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.07.011

zbMATH Keywords

spectral radiusHadamard productnonnegative matricesspectral norm

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

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 ⋮ 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 ⋮ 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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• 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
• On the spectral radius of Hadamard products of nonnegative 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
• Matrix Analysis

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