The Hua matrix and inequalities related to contractive matrices

DOI10.1016/j.laa.2016.09.003zbMath1353.15022OpenAlexW2512071159MaRDI QIDQ331149

Minghua Lin

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.003

zbMATH Keywords

eigenvalueinequalitysingular valuecontractive matrixHua matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

On inequalities of Bellman and Aczél type ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ A generalized Hölder type eigenvalue inequality ⋮ New properties for certain positive semidefinite matrices ⋮ Inequalities related to the geometric mean of accretive matrices ⋮ The convex properties and norm bounds for operator matrices involving contractions

Cites Work

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• On a question of Bhatia and Kittaneh
• Some new results for Hua-type operator matrices
• Representation theorems and inequalities for Hermitian matrices
• Revisiting Hua-Marcus-Bellman-Ando inequalities on contractive matrices
• Notes on matrix arithmetic-geometric mean inequalities
• Positivity of operator-matrices of Hua-type
• Inequalities related to 2 ✕ 2 block PPT matrices
• Contractive matrices of Hua type
• On a Determinantal Inequality
• Hua—Marcus inequalities
• On the theory of functions of several complex variables. II. A complex orthonormal system in the hyperbolic space of the Lie-hypersphere
• Matrix inequalities
• Matrix theory. Basic results and techniques

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