Generalized Hadamard Product and the Derivatives of Spectral Functions

DOI10.1137/050623206zbMath1115.49036arXivmath/0404347OpenAlexW2135930989MaRDI QIDQ5296009

Hristo S. Sendov

Publication date: 31 July 2007

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404347

zbMATH Keywords

perturbation theoryeigenvaluessymmetric functionspectral functionmultilinear algebrahigher order derivativestwice differentiable

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

The higher-order derivatives of spectral functions ⋮ Separable self-concordant spectral functions and a conjecture of Tunçel ⋮ Local convergence of an augmented Lagrangian method for matrix inequality constrained programming

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