Derivatives of compound matrix valued functions

DOI10.1016/j.jmaa.2015.08.029zbMath1326.47012OpenAlexW1414602992MaRDI QIDQ499225

Hristo S. Sendov, Brendan P. W. Ames

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.029

zbMATH Keywords

differentiabilityspectral functionsadditive compound matrixcompound matrixmultiplicative compound matrixprimary matrix functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (6)

On differentiability of a class of orthogonally invariant functions on several operator variables ⋮ Continuity, differentiability and semismoothness of generalized tensor functions ⋮ A unified approach to operator monotone functions ⋮ Matrix derivatives and Kronecker products for the core and generalized core inverses ⋮ A Unified Approach to Spectral and Isotropic Functions ⋮ On the analyticity of k-isotropic functions

Uses Software

• LMIRank

Cites Work

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• A Newton-like method for solving rank constrained linear matrix inequalities
• The higher-order derivatives of spectral functions
• Analysis of symmetric matrix valued functions. I
• On the differentiability of O(n) invariant functions of symmetric matrices
• On analyticity of functions involving eigenvalues
• Sensitivity analysis of all eigenvalues of a symmetric matrix
• Nonsmooth analysis of eigenvalues
• Differentiability properties of isotropic functions
• Twice Differentiable Spectral Functions
• Orthogonal Invariance and Identifiability
• Integration and differentiation of functions of Hermitian operators depending on a parameter
• Designing structured tight frames via an alternating projection method
• Analysis of Nonsmooth Symmetric-Matrix-Valued Functions with Applications to Semidefinite Complementarity Problems
• Derivatives of Spectral Functions
• A Chain Rule for Matrix Functions and Applications
• Analysis of Symmetric Matrix Valued Functions
• Semismooth Matrix-Valued Functions

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