Concavity of monotone matrix functions of finite order

DOI10.1080/03081089008818003zbMath0703.15021OpenAlexW2064806887MaRDI QIDQ3481877

Roy Mathias

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03081089008818003

zbMATH Keywords

normspositive semidefinite matricesfunctional characterizationmonotone matrix functionmatrix concave function

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

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Cites Work

• Unnamed Item
• On a matrix inequality
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
• Über monotone Matrixfunktionen
• Über konvexe Matrixfunktionen
• Matrix Analysis
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

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