A treatment of a determinant inequality of Fiedler and Markham

DOI10.1007/s10587-016-0289-3zbMath1413.15040OpenAlexW2530216040MaRDI QIDQ2828812

Minghua Lin

Publication date: 26 October 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145868

zbMATH Keywords

determinant inequalitypartial trace

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

Inequalities related to trace and determinant of positive semidefinite block matrices ⋮ Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices ⋮ Witness operator provides better estimate of the lower bound of concurrence of bipartite bound entangled states in \(d_1\otimes d_2\)-dimensional system ⋮ Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector ⋮ On some inequalities related to positive block matrices ⋮ An extension of the Fiedler-Markham determinant inequality ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Inequalities on partial traces of positive semidefinite block matrices

Cites Work

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• Some applications of a majorization inequality due to Bapat and Sunder
• Relations for certain symmetric norms and anti-norms before and after partial trace
• Positive matrices partitioned into a small number of Hermitian blocks
• Separability of mixed states: necessary and sufficient conditions.
• Quantum information theory and quantum statistics.
• Transformations on partitioned matrices
• A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY

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