A matrix trace inequality and its application

DOI10.1016/j.laa.2010.05.011zbMath1205.15036arXiv1001.3803OpenAlexW2002853051WikidataQ112882173 ScholiaQ112882173MaRDI QIDQ5962284

Shigeru Furuichi, Minghua Lin

Publication date: 21 September 2010

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

Full work available at URL: https://arxiv.org/abs/1001.3803

zbMATH Keywords

majorizationmatrix trace inequalitygeneralized exponential functionGolden-Thompson inequalitypositive semidefinite matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear inequalities of matrices (15A39) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Matrix exponential and similar functions of matrices (15A16)

Related Items (7)

Improvements of trace inequalities for convex functions ⋮ Positive matrices partitioned into a small number of Hermitian blocks ⋮ Some inequalities of majorization type ⋮ Eigenvalue majorization inequalities for positive semidefinite block matrices and their blocks ⋮ Inequalities for Tsallis relative entropy and generalized skew information ⋮ An eigenvalue inequality for positive semidefinite k × k block matrices ⋮ An eigenvalue majorization inequality for positive semidefinite block matrices

Cites Work

• Unnamed Item
• Trace inequalities in nonextensive statistical mechanics
• Inequalities: theory of majorization and its applications

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