On a decomposition lemma for positive semi-definite block-matrices

DOI10.1016/j.laa.2012.04.038zbMath1259.15044arXiv1202.0473OpenAlexW2963751831WikidataQ112882195 ScholiaQ112882195MaRDI QIDQ445854

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

Publication date: 27 August 2012

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

Full work available at URL: https://arxiv.org/abs/1202.0473

zbMATH Keywords

operator inequalitiessymmetric normpositive semi-definite matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (16)

Efficient preconditioning for noisy separable nonnegative matrix factorization problems by successive projection based low-rank approximations ⋮ Positive block matrices and numerical ranges ⋮ Singular values inequalities via matrix monotone functions ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Positive matrices partitioned into a small number of Hermitian blocks ⋮ On the matrix Cauchy-Schwarz inequality ⋮ Norm inequalities for sector block matrices ⋮ Submajorization and p-norm inequalities associated with -measurable operators ⋮ On symmetric norm inequalities and positive definite block-matrices ⋮ On a norm inequality for a positive block-matrix ⋮ DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS ⋮ Positive semi-definite \(2 \times 2\) block matrices and norm inequalities ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ A norm inequality for positive block matrices ⋮ Refining eigenvalue inequalities for block 2 × 2 positive semidefinite matrices

Cites Work

• Eigenvalue inequalities for convex and log-convex functions
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES
• An eigenvalue majorization inequality for positive semidefinite block matrices

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