Revisiting Hua-Marcus-Bellman-Ando inequalities on contractive matrices

DOI10.1016/j.laa.2007.11.011zbMath1163.15021OpenAlexW2086371523MaRDI QIDQ1002251

Fuzhen Zhang, Changqing Xu, Zhao-Di Xu

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.011

zbMATH Keywords

determinantsmatrix inequalitiesSchur complementscontractive matricesHua's determinant inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

Some matrix inequalities of log-majorization type ⋮ The Hua matrix and inequalities related to contractive matrices ⋮ Harnack type inequalities for matrices in majorization ⋮ Some new results for Hua-type operator matrices ⋮ Contractive matrices of Hua type ⋮ Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices ⋮ Remarks on Hua’s matrix equality involving generalized inverses

Cites Work

• Representation theorems and inequalities for Hermitian matrices
• The Schur complement and its applications
• On a Determinantal Inequality
• Hua—Marcus inequalities
• Matrix theory. Basic results and techniques
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