Concavity of certain functions of matrices

DOI10.1080/03081088508817650zbMath0562.15010OpenAlexW2074045906MaRDI QIDQ5187405

Rajendra Bhatia, Chandler Davis

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/03081088508817650

zbMATH Keywords

concavityconvexityeigenvalue inequalitiesmultilinear functionsFischer's determinantal inequalityMinkowski's determinantal inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

A survey of Chandler Davis

Cites Work

• Extensions of the Hadamard determinant theorem
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Inequalities for some operator and matrix functions
• A Convexity Proof of Hadamard's Inequality
• Inequalities for Symmetric Functions and Hermitian Matrices
• Inequalities Connected with Definite Hermitian Forms, II
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