Some inequalities of majorization type

DOI10.1016/j.laa.2012.04.021zbMath1255.15027OpenAlexW1970931340MaRDI QIDQ442657

Ramazan Türkmen, Fuzhen Zhang, Vehbi Emrah Paksoy

Publication date: 3 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.021

zbMATH Keywords

Hermitian matriceseigenvaluestracematrix inequalitymatrix normmajorizationpositive semidefinite matricessingular valueunitarily invariant norm

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) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (9)

A matrix decomposition and its applications ⋮ More inequalities for positive semidefinite \(2 \times 2\) block matrices and their blocks ⋮ Some majorization inequalities in Euclidean Jordan algebras ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Equivalence on Hiroshima's type inequalities for positive semidefinite block matrices ⋮ Eigenvalue majorization inequalities for positive semidefinite block matrices and their blocks ⋮ More inequalities for sector matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ An eigenvalue inequality for positive semidefinite k × k block matrices

Cites Work

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• An eigenvalue majorization inequality for positive semidefinite block matrices
• Matrix Analysis
• Some Norm Inequalities for Operators
• Inequalities: theory of majorization and its applications
• Matrix inequalities
• Matrix theory. Basic results and techniques
• A matrix trace inequality and its application

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