On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices

DOI10.1016/j.laa.2010.08.038zbMath1209.15015OpenAlexW2028996124MaRDI QIDQ616280

Ze-Jun Huang

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.038

zbMATH Keywords

spectral radiusHadamard productnonnegative matricesKronecker productunitarily invariant normspectral normSchur's inequality

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) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (10)

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 ⋮ A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification ⋮ 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 ⋮ Some inequalities on the spectral radius of matrices ⋮ Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces ⋮ 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 on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ On the spectral radius of Hadamard products of nonnegative matrices

Cites Work

• Unnamed Item
• Spectral radius of Hadamard product versus conventional product for non-negative matrices
• Some inequalities for Hadamard products of matrices
• Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
• On inequalities involving the Hadamard product of matrices
• Norm inequalities involving Hadamard products
• Matrix inequalities

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