Direct sums of positive semi-definite matrices

DOI10.1016/J.LAA.2014.09.012zbMath1298.15018OpenAlexW1992561170MaRDI QIDQ744132

Eun-Young Lee, Jean-Christophe Bourin

Publication date: 6 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.09.012

zbMATH Keywords

positive definite matricesmajorizationeigenvalue inequalitiespartitioned matricesconvex/concave functions

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (1)

Further inequalities for certain powers of positive definite matrices

Cites Work

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• Sums of Murray-von Neumann equivalent operators
• Positive matrices partitioned into a small number of Hermitian blocks
• Sums of unitarily equivalent positive operators
• Unitary orbits of Hermitian operators with convex or concave functions
• DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS
• Introduction to matrix analysis and applications
• On sums of projections

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