Positive matrices partitioned into a small number of Hermitian blocks

DOI10.1016/j.laa.2012.10.033zbMath1262.15037arXiv1210.2914OpenAlexW2019305290MaRDI QIDQ1938714

Jean-Christophe Bourin, Minghua Lin, Eun-Young Lee

Publication date: 22 February 2013

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

Full work available at URL: https://arxiv.org/abs/1210.2914

zbMATH Keywords

normpositive definite matricesgeometric meanmatrix inequalitiesquaternionsHermitian matrixpositive matricespartial trace

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (11)

Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Some generalizations and complements of determinantal inequalities ⋮ Inequalities with determinants of perturbed positive matrices ⋮ Remarks on some singular value inequalities ⋮ NUMERICAL RANGE AND POSITIVE BLOCK MATRICES ⋮ The off-diagonal block of a PPT matrix ⋮ DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS ⋮ Some new results for Hua-type operator matrices ⋮ Direct sums of positive semi-definite matrices ⋮ A treatment of a determinant inequality of Fiedler and Markham ⋮ Refining eigenvalue inequalities for block 2 × 2 positive semidefinite matrices

Cites Work

• On a decomposition lemma for positive semi-definite block-matrices
• NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES
• Unitary orbits of Hermitian operators with convex or concave functions
• A matrix trace inequality and its application

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