Inequalities related to trace and determinant of positive semidefinite block matrices

DOI10.1016/j.laa.2017.06.026zbMath1370.15020OpenAlexW2654450498MaRDI QIDQ2401276

Daeshik Choi

Publication date: 8 September 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.2017.06.026

zbMATH Keywords

determinantpartial transposepositive semidefinite block matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items

An Oppenheim type inequality for positive definite block matrices ⋮ A new matrix inequality involving partial traces ⋮ Inequalities for generalized matrix function and inner product ⋮ Inequalities about partial transpose and partial traces ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Inequalities for partial determinants of accretive block matrices ⋮ Inequalities for partial determinants of positive semidefinite block matrices ⋮ Inequalities regarding partial trace and partial determinant ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Inequalities on partial traces of positive semidefinite block matrices ⋮ Partial determinant inequalities for positive semidefinite block matrices

Cites Work

• A proof of Thompson's determinantal inequality
• Quantum information theory and quantum statistics.
• A treatment of a determinant inequality of Fiedler and Markham
• A Determinantal Inequality for Positive Definite Matrices
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