The singular values of \(A+B\) and \(A+iB\)

DOI10.1016/j.laa.2009.05.014zbMath1172.47011OpenAlexW2020980408MaRDI QIDQ840647

Fuad Kittaneh, Rajendra Bhatia

Publication date: 14 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.05.014

zbMATH Keywords

normSchur productsingular valueunitarily invariant normmajorisation

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (13)

Some generalizations of inequalities for sector matrices ⋮ A further extension of Rotfel’d theorem ⋮ Fischer type determinantal inequalities for accretive-dissipative matrices ⋮ Singular value inequalities involving convex and concave functions of positive semidefinite matrices ⋮ On some inequalities for unitarily invariant norms and singular values ⋮ Inequalities for accretive-dissipative matrices ⋮ Computing the Laplacian spectra of some graphs ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ Rotfel’d inequality for partitioned matrices with numerical ranges in a sector ⋮ Lieb functions and sectorial matrices ⋮ Inequalities for accretive-dissipative block matrices involving convex and concave functions ⋮ An extension of Bhatia and Kittaneh's result and its application

Cites Work

• Unnamed Item
• Optimal measures for Toeplitz matrices
• Mean matrices and infinite divisibility
• Norm inequalities for positive operators
• Cartesian decompositions and Schatten norms
• Positive definite matrices
• The matrix arithmetic-geometric mean inequality revisited
• Singular Values of Differences of Positive Semidefinite Matrices
• Compact operators whose real and imaginary parts are positive
• The Hadamard Operator Norm of a Circulant and Applications
• Eigenvalue inequalities associated with the cartesian decomposition
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
• Means for matrices and comparison of their norms

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