A key inequality for functions of matrices

DOI10.1016/S0024-3795(00)00152-XzbMath0978.15016MaRDI QIDQ5929753

Chandler Davis, Rajendra Bhatia

Publication date: 18 January 2002

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

zbMATH Keywords

convex functions of matricesmatrix inequalitiespositive linear mapsselfadjoint operators

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Matrices over function rings in one or more variables (15A54)

Related Items

Choi-Davis-Jensen's inequality without convexity

Cites Work

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• Matrix versions of the Cauchy and Kantorovich inequalities
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Matrix inequalities for convex functions
• Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
• A Better Bound on the Variance
• Matrix inequalities involving a positive linear map
• A Schwarz Inequality for Convex Operator Functions
• A matrix version of the Ky Fan generalization of the kantorovich inequality