On the analyticity of k-isotropic functions

DOI10.1080/03081087.2017.1417967zbMath1407.15009OpenAlexW2779653334MaRDI QIDQ4646640

Hristo S. Sendov, Mehdi S. Mousavi, Tianpei Jiang

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1417967

zbMATH Keywords

symmetric functionanalyticityspectral functionstensor productadditive compound matrixcompound matrixmultiplicative compound matrixprimary matrix functionsisotropic functions\(k\)-isotropic functions Loewner operatoranti-symmetric tensor product

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrix exponential and similar functions of matrices (15A16)

Cites Work

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• Derivatives of compound matrix valued functions
• Some operator convex functions of several variables
• The higher-order derivatives of spectral functions
• Differentiability properties of symmetric and isotropic functions
• On the differentiability of O(n) invariant functions of symmetric matrices
• Matrix convexity of functions of two variables
• On analyticity of functions involving eigenvalues
• Operator convex functions of several variables
• Differentiability properties of isotropic functions
• Compound matrices and ordinary differential equations
• On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
• Twice Differentiable Spectral Functions
• Convex spectral functions
• Derivatives of Spectral Functions
• Operator monotone functions of several variables
• Semidefinite Programming
• Jensen’s operator inequality for functions of several variables
• Tensor Algebra and Tensor Analysis for Engineers

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