Trace inequalities for positive semidefinite block matrices

DOI10.1016/j.laa.2017.03.004zbMath1365.15026OpenAlexW2591732208MaRDI QIDQ526288

Minghua Lin, Fuad Kittaneh

Publication date: 10 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.03.004

zbMATH Keywords

eigenvaluemajorizationtrace inequality

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (9)

Notes on majorizations for singular values ⋮ An Oppenheim type inequality for positive definite block matrices ⋮ A new matrix inequality involving partial traces ⋮ Some applications of two completely copositive maps ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Trace inequalities related to 2 × 2 block sector matrices ⋮ New determinantal inequalities concerning Hermitian and positive semi-definite matrices ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Trace inequalities involving positive semi-definite block matrices

Cites Work

• A completely PPT map
• Inequalities related to 2 ✕ 2 block PPT matrices
• Subadditivity of q-entropies for q>1
• Singular Value and Norm Inequalities Associated with 2 x 2 Positive Semidefinite Block Matrices
• Inequalities: theory of majorization and its applications
• Matrix theory. Basic results and techniques

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