Singular value inequalities and applications

DOI10.1007/s11117-020-00790-6zbMath1478.15023OpenAlexW3092729595MaRDI QIDQ2045892

Wasim Audeh

Publication date: 16 August 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00790-6

zbMATH Keywords

inequalityconcave functionsingular valueunitarily invariant normpositive semidefinite matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

Singular value inequalities for operators and matrices ⋮ Singular value inequalities for accretive-dissipative normal operators ⋮ Singular values inequalities via matrix monotone functions ⋮ Numerical radius inequalities for finite sums of operators ⋮ Singular value and norm inequalities of Davidson-Power type

Cites Work

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• Positive block matrices and numerical ranges
• Singular value inequalities for compact operators
• Generalizations for singular value inequalities of operators
• Generalizations for singular value and arithmetic-geometric mean inequalities of operators
• Norm inequalities for sums of positive operators. II
• Singular Values of Differences of Positive Semidefinite Matrices
• On the Singular Values of a Product of Operators
• A matrix subadditivity inequality for symmetric norms
• Norm inequalities for certain operator sums

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